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128 Publications
2024 |Published| Conference Paper | IST-REx-ID: 14888 |
Removing popular faces in curve arrangements
P. De Nooijer, S. Terziadis, A. Weinberger, Z. Masárová, T. Mchedlidze, M. Löffler, G. Rote, in:, 31st International Symposium on Graph Drawing and Network Visualization, Springer Nature, 2024, pp. 18–33.
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P. De Nooijer, S. Terziadis, A. Weinberger, Z. Masárová, T. Mchedlidze, M. Löffler, G. Rote, in:, 31st International Symposium on Graph Drawing and Network Visualization, Springer Nature, 2024, pp. 18–33.
2024 |Published| Conference Paper | IST-REx-ID: 15168 |
Hardness of linearly ordered 4-colouring of 3-colourable 3-uniform hypergraphs
M. Filakovský, T.V. Nakajima, J. Opršal, G. Tasinato, U. Wagner, in:, 41st International Symposium on Theoretical Aspects of Computer Science, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024.
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M. Filakovský, T.V. Nakajima, J. Opršal, G. Tasinato, U. Wagner, in:, 41st International Symposium on Theoretical Aspects of Computer Science, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024.
2024 |Published| Conference Paper | IST-REx-ID: 15296
A constructive algorithm for building rectifiable curves in weakly convex sets
M. Lopushanski, G. Ivanov, in:, AIP Conference Proceedings, AIP Publishing, 2024.
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M. Lopushanski, G. Ivanov, in:, AIP Conference Proceedings, AIP Publishing, 2024.
2024 |Published| Journal Article | IST-REx-ID: 9651 |
Divergence of separated nets with respect to displacement equivalence
M. Dymond, V. Kaluza, Geometriae Dedicata 218 (2024).
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M. Dymond, V. Kaluza, Geometriae Dedicata 218 (2024).
2024 |Published| Journal Article | IST-REx-ID: 14660 |
Quantitative Steinitz theorem: A polynomial bound
G. Ivanov, M. Naszódi, Bulletin of the London Mathematical Society 56 (2024) 796–802.
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G. Ivanov, M. Naszódi, Bulletin of the London Mathematical Society 56 (2024) 796–802.
2023 |Published| Journal Article | IST-REx-ID: 12563 |
Topology and adjunction in promise constraint satisfaction
A. Krokhin, J. Opršal, M. Wrochna, S. Živný, SIAM Journal on Computing 52 (2023) 38–79.
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A. Krokhin, J. Opršal, M. Wrochna, S. Živný, SIAM Journal on Computing 52 (2023) 38–79.
2023 |Published| Journal Article | IST-REx-ID: 9652 |
Highly irregular separated nets
M. Dymond, V. Kaluza, Israel Journal of Mathematics 253 (2023) 501–554.
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M. Dymond, V. Kaluza, Israel Journal of Mathematics 253 (2023) 501–554.
2023 |Published| Journal Article | IST-REx-ID: 11999 |
Inserting one edge into a simple drawing is hard
A.M. Arroyo Guevara, F. Klute, I. Parada, B. Vogtenhuber, R. Seidel, T. Wiedera, Discrete and Computational Geometry 69 (2023) 745–770.
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A.M. Arroyo Guevara, F. Klute, I. Parada, B. Vogtenhuber, R. Seidel, T. Wiedera, Discrete and Computational Geometry 69 (2023) 745–770.
2023 |Published| Journal Article | IST-REx-ID: 13969 |
Approximating the bundled crossing number
A.M. Arroyo Guevara, S. Felsner, Journal of Graph Algorithms and Applications 27 (2023) 433–457.
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A.M. Arroyo Guevara, S. Felsner, Journal of Graph Algorithms and Applications 27 (2023) 433–457.
2023 |Published| Thesis | IST-REx-ID: 13331 |
Exterior algebra and combinatorics
S. Köse, Exterior Algebra and Combinatorics, Institute of Science and Technology Austria, 2023.
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S. Köse, Exterior Algebra and Combinatorics, Institute of Science and Technology Austria, 2023.
2023 |Published| Journal Article | IST-REx-ID: 12680 |
Erdős-Ko-Rado and Hilton-Milner theorems for two-forms
G. Ivanov, S. Köse, Discrete Mathematics 346 (2023).
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G. Ivanov, S. Köse, Discrete Mathematics 346 (2023).
2023 |Epub ahead of print| Journal Article | IST-REx-ID: 13974 |
The crossing Tverberg theorem
R. Fulek, B. Gärtner, A. Kupavskii, P. Valtr, U. Wagner, Discrete and Computational Geometry (2023).
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R. Fulek, B. Gärtner, A. Kupavskii, P. Valtr, U. Wagner, Discrete and Computational Geometry (2023).
2023 |Published| Journal Article | IST-REx-ID: 14445 |
Coboundary expansion, equivariant overlap, and crossing numbers of simplicial complexes
U. Wagner, P. Wild, Israel Journal of Mathematics 256 (2023) 675–717.
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U. Wagner, P. Wild, Israel Journal of Mathematics 256 (2023) 675–717.
2023 |Published| Journal Article | IST-REx-ID: 12833 |
Token swapping on trees
A. Biniaz, K. Jain, A. Lubiw, Z. Masárová, T. Miltzow, D. Mondal, A.M. Naredla, J. Tkadlec, A. Turcotte, Discrete Mathematics and Theoretical Computer Science 24 (2023).
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A. Biniaz, K. Jain, A. Lubiw, Z. Masárová, T. Miltzow, D. Mondal, A.M. Naredla, J. Tkadlec, A. Turcotte, Discrete Mathematics and Theoretical Computer Science 24 (2023).
2023 |Published| Journal Article | IST-REx-ID: 14737 |
Functional John and Löwner conditions for pairs of log-concave functions
G. Ivanov, M. Naszódi, International Mathematics Research Notices 2023 (2023) 20613–20669.
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G. Ivanov, M. Naszódi, International Mathematics Research Notices 2023 (2023) 20613–20669.
2023 |Published| Journal Article | IST-REx-ID: 13270 |
Iterated medial triangle subdivision in surfaces of constant curvature
F.R. Brunck, Discrete and Computational Geometry 70 (2023) 1059–1089.
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F.R. Brunck, Discrete and Computational Geometry 70 (2023) 1059–1089.
2022 |Published| Journal Article | IST-REx-ID: 11991 |
An invitation to the promise constraint satisfaction problem
A. Krokhin, J. Opršal, ACM SIGLOG News 9 (2022) 30–59.
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A. Krokhin, J. Opršal, ACM SIGLOG News 9 (2022) 30–59.
2022 |Published| Journal Article | IST-REx-ID: 11938 |
On compatible matchings
O. Aichholzer, A.M. Arroyo Guevara, Z. Masárová, I. Parada, D. Perz, A. Pilz, J. Tkadlec, B. Vogtenhuber, Journal of Graph Algorithms and Applications 26 (2022) 225–240.
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O. Aichholzer, A.M. Arroyo Guevara, Z. Masárová, I. Parada, D. Perz, A. Pilz, J. Tkadlec, B. Vogtenhuber, Journal of Graph Algorithms and Applications 26 (2022) 225–240.
2022 |Published| Thesis | IST-REx-ID: 11777 |
High-dimensional expansion and crossing numbers of simplicial complexes
P. Wild, High-Dimensional Expansion and Crossing Numbers of Simplicial Complexes, Institute of Science and Technology, 2022.
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P. Wild, High-Dimensional Expansion and Crossing Numbers of Simplicial Complexes, Institute of Science and Technology, 2022.
2022 |Published| Journal Article | IST-REx-ID: 10335 |
Even maps, the Colin de Verdière number and representations of graphs
V. Kaluza, M. Tancer, Combinatorica 42 (2022) 1317–1345.
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V. Kaluza, M. Tancer, Combinatorica 42 (2022) 1317–1345.
2022 |Published| Journal Article | IST-REx-ID: 10776 |
Barycentric cuts through a convex body
Z. Patakova, M. Tancer, U. Wagner, Discrete and Computational Geometry 68 (2022) 1133–1154.
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Z. Patakova, M. Tancer, U. Wagner, Discrete and Computational Geometry 68 (2022) 1133–1154.
2022 |Published| Journal Article | IST-REx-ID: 10887 |
Functional John ellipsoids
G. Ivanov, M. Naszódi, Journal of Functional Analysis 282 (2022).
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G. Ivanov, M. Naszódi, Journal of Functional Analysis 282 (2022).
2022 |Published| Journal Article | IST-REx-ID: 12129 |
Connectivity of triangulation flip graphs in the plane
U. Wagner, E. Welzl, Discrete & Computational Geometry 68 (2022) 1227–1284.
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U. Wagner, E. Welzl, Discrete & Computational Geometry 68 (2022) 1227–1284.
2022 |Published| Journal Article | IST-REx-ID: 11593 |
The Z2-Genus of Kuratowski minors
R. Fulek, J. Kynčl, Discrete and Computational Geometry 68 (2022) 425–447.
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R. Fulek, J. Kynčl, Discrete and Computational Geometry 68 (2022) 425–447.
2022 |Published| Conference Paper | IST-REx-ID: 11185 |
Approximating the bundled crossing number
A.M. Arroyo Guevara, S. Felsner, in:, WALCOM 2022: Algorithms and Computation, Springer Nature, 2022, pp. 383–395.
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A.M. Arroyo Guevara, S. Felsner, in:, WALCOM 2022: Algorithms and Computation, Springer Nature, 2022, pp. 383–395.
2022 |Published| Journal Article | IST-REx-ID: 14381
High-dimensional expanders (after Gromov, Kaufman, Kazhdan, Lubotzky, and others)
U. Wagner, Bulletin de La Societe Mathematique de France 438 (2022) 281–294.
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U. Wagner, Bulletin de La Societe Mathematique de France 438 (2022) 281–294.
2022 |Published| Journal Article | IST-REx-ID: 11435 |
A quantitative Helly-type theorem: Containment in a homothet
G. Ivanov, M. Naszodi, SIAM Journal on Discrete Mathematics 36 (2022) 951–957.
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G. Ivanov, M. Naszodi, SIAM Journal on Discrete Mathematics 36 (2022) 951–957.
2022 |Published| Journal Article | IST-REx-ID: 10181 |
Rectifiable curves in proximally smooth sets
G. Ivanov, M.S. Lopushanski, Set-Valued and Variational Analysis 30 (2022) 657–675.
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G. Ivanov, M.S. Lopushanski, Set-Valued and Variational Analysis 30 (2022) 657–675.
2022 |Published| Conference Paper | IST-REx-ID: 17084 |
Hardness of token swapping on trees
O. Aichholzer, E.D. Demaine, M. Korman, A. Lubiw, J. Lynch, Z. Masárová, M. Rudoy, V. Vassilevska Williams, N. Wein, in:, 30th Annual European Symposium on Algorithms, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022.
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O. Aichholzer, E.D. Demaine, M. Korman, A. Lubiw, J. Lynch, Z. Masárová, M. Rudoy, V. Vassilevska Williams, N. Wein, in:, 30th Annual European Symposium on Algorithms, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022.
2021 |Published| Conference Paper | IST-REx-ID: 9296 |
On compatible matchings
O. Aichholzer, A.M. Arroyo Guevara, Z. Masárová, I. Parada, D. Perz, A. Pilz, J. Tkadlec, B. Vogtenhuber, in:, 15th International Conference on Algorithms and Computation, Springer Nature, 2021, pp. 221–233.
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O. Aichholzer, A.M. Arroyo Guevara, Z. Masárová, I. Parada, D. Perz, A. Pilz, J. Tkadlec, B. Vogtenhuber, in:, 15th International Conference on Algorithms and Computation, Springer Nature, 2021, pp. 221–233.
2021 |Published| Journal Article | IST-REx-ID: 9037 |
No-dimension Tverberg's theorem and its corollaries in Banach spaces of type p
G. Ivanov, Bulletin of the London Mathematical Society 53 (2021) 631–641.
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G. Ivanov, Bulletin of the London Mathematical Society 53 (2021) 631–641.
2021 |Published| Journal Article | IST-REx-ID: 9098 |
On the volume of projections of the cross-polytope
G. Ivanov, Discrete Mathematics 344 (2021).
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G. Ivanov, Discrete Mathematics 344 (2021).
2021 |Published| Journal Article | IST-REx-ID: 9295 |
Drawings of complete graphs in the projective plane
A.M. Arroyo Guevara, D. Mcquillan, R.B. Richter, G. Salazar, M. Sullivan, Journal of Graph Theory 97 (2021) 426–440.
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A.M. Arroyo Guevara, D. Mcquillan, R.B. Richter, G. Salazar, M. Sullivan, Journal of Graph Theory 97 (2021) 426–440.
2021 |Published| Journal Article | IST-REx-ID: 9468 |
Extending drawings of complete graphs into arrangements of pseudocircles
A.M. Arroyo Guevara, R.B. Richter, M. Sunohara, SIAM Journal on Discrete Mathematics 35 (2021) 1050–1076.
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A.M. Arroyo Guevara, R.B. Richter, M. Sunohara, SIAM Journal on Discrete Mathematics 35 (2021) 1050–1076.
2021 |Published| Journal Article | IST-REx-ID: 9548 |
Functional Löwner ellipsoids
G. Ivanov, I. Tsiutsiurupa, Journal of Geometric Analysis 31 (2021) 11493–11528.
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G. Ivanov, I. Tsiutsiurupa, Journal of Geometric Analysis 31 (2021) 11493–11528.
2021 |Published| Journal Article | IST-REx-ID: 10220 |
Eliminating higher-multiplicity intersections. III. Codimension 2
S. Avvakumov, I. Mabillard, A.B. Skopenkov, U. Wagner, Israel Journal of Mathematics 245 (2021) 501–534.
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S. Avvakumov, I. Mabillard, A.B. Skopenkov, U. Wagner, Israel Journal of Mathematics 245 (2021) 501–534.
2021 |Published| Journal Article | IST-REx-ID: 10856 |
On the volume of sections of the cube
G. Ivanov, I. Tsiutsiurupa, Analysis and Geometry in Metric Spaces 9 (2021) 1–18.
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G. Ivanov, I. Tsiutsiurupa, Analysis and Geometry in Metric Spaces 9 (2021) 1–18.
2021 |Published| Journal Article | IST-REx-ID: 10860 |
Tight frames and related geometric problems
G. Ivanov, Canadian Mathematical Bulletin 64 (2021) 942–963.
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G. Ivanov, Canadian Mathematical Bulletin 64 (2021) 942–963.
2020 |Published| Conference Paper | IST-REx-ID: 7806 |
Embeddability of simplicial complexes is undecidable
M. Filakovský, U. Wagner, S.Y. Zhechev, in:, Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms, SIAM, 2020, pp. 767–785.
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M. Filakovský, U. Wagner, S.Y. Zhechev, in:, Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms, SIAM, 2020, pp. 767–785.
2020 |Published| Conference Paper | IST-REx-ID: 7991 |
Homotopic curve shortening and the affine curve-shortening flow
S. Avvakumov, G. Nivasch, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
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S. Avvakumov, G. Nivasch, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
2020 |Published| Conference Paper | IST-REx-ID: 7989 |
Bounding radon number via Betti numbers
Z. Patakova, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
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Z. Patakova, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
2020 |Published| Conference Paper | IST-REx-ID: 7992 |
Barycentric cuts through a convex body
Z. Patakova, M. Tancer, U. Wagner, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
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Z. Patakova, M. Tancer, U. Wagner, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
2020 |Published| Conference Paper | IST-REx-ID: 7994 |
Extending drawings of graphs to arrangements of pseudolines
A.M. Arroyo Guevara, J. Bensmail, R. Bruce Richter, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
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A.M. Arroyo Guevara, J. Bensmail, R. Bruce Richter, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
2020 |Published| Conference Paper | IST-REx-ID: 7990 |
Connectivity of triangulation flip graphs in the plane (Part II: Bistellar flips)
U. Wagner, E. Welzl, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
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U. Wagner, E. Welzl, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
2020 |Published| Conference Paper | IST-REx-ID: 7807 |
Connectivity of triangulation flip graphs in the plane (Part I: Edge flips)
U. Wagner, E. Welzl, in:, Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms, SIAM, 2020, pp. 2823–2841.
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U. Wagner, E. Welzl, in:, Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms, SIAM, 2020, pp. 2823–2841.
2020 |Published| Journal Article | IST-REx-ID: 9308 |
Eliminating higher-multiplicity intersections, III. Codimension 2
S. Avvakumov, U. Wagner, I. Mabillard, A.B. Skopenkov, Russian Mathematical Surveys 75 (2020) 1156–1158.
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S. Avvakumov, U. Wagner, I. Mabillard, A.B. Skopenkov, Russian Mathematical Surveys 75 (2020) 1156–1158.
2020 |Published| Journal Article | IST-REx-ID: 6563 |
Are two given maps homotopic? An algorithmic viewpoint
M. Filakovský, L. Vokřínek, Foundations of Computational Mathematics 20 (2020) 311–330.
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M. Filakovský, L. Vokřínek, Foundations of Computational Mathematics 20 (2020) 311–330.
2020 |Published| Journal Article | IST-REx-ID: 7960 |
Intersection patterns of planar sets
G. Kalai, Z. Patakova, Discrete and Computational Geometry 64 (2020) 304–323.
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G. Kalai, Z. Patakova, Discrete and Computational Geometry 64 (2020) 304–323.
2020 |Published| Conference Paper | IST-REx-ID: 8732
Inserting one edge into a simple drawing is hard
A.M. Arroyo Guevara, F. Klute, I. Parada, R. Seidel, B. Vogtenhuber, T. Wiedera, in:, Graph-Theoretic Concepts in Computer Science, Springer Nature, 2020, pp. 325–338.
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A.M. Arroyo Guevara, F. Klute, I. Parada, R. Seidel, B. Vogtenhuber, T. Wiedera, in:, Graph-Theoretic Concepts in Computer Science, Springer Nature, 2020, pp. 325–338.
2020 |Published| Thesis | IST-REx-ID: 7944 |
Reconfiguration problems
Z. Masárová, Reconfiguration Problems, Institute of Science and Technology Austria, 2020.
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Z. Masárová, Reconfiguration Problems, Institute of Science and Technology Austria, 2020.
2020 |Published| Thesis | IST-REx-ID: 8032 |
Combinatorial width parameters for 3-dimensional manifolds
K. Huszár, Combinatorial Width Parameters for 3-Dimensional Manifolds, Institute of Science and Technology Austria, 2020.
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K. Huszár, Combinatorial Width Parameters for 3-Dimensional Manifolds, Institute of Science and Technology Austria, 2020.
2020 |Published| Thesis | IST-REx-ID: 8156 |
Topological methods in geometry and discrete mathematics
S. Avvakumov, Topological Methods in Geometry and Discrete Mathematics, Institute of Science and Technology Austria, 2020.
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S. Avvakumov, Topological Methods in Geometry and Discrete Mathematics, Institute of Science and Technology Austria, 2020.
2020 |Published| Conference Paper | IST-REx-ID: 15082 |
Disjoint tree-compatible plane perfect matchings
O. Aichholzer, J. Obmann, P. Patak, D. Perz, J. Tkadlec, in:, 36th European Workshop on Computational Geometry, 2020.
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O. Aichholzer, J. Obmann, P. Patak, D. Perz, J. Tkadlec, in:, 36th European Workshop on Computational Geometry, 2020.
2019 |Published| Conference Paper | IST-REx-ID: 7401 |
Z_2-Genus of graphs and minimum rank of partial symmetric matrices
R. Fulek, J. Kyncl, in:, 35th International Symposium on Computational Geometry (SoCG 2019), Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019.
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R. Fulek, J. Kyncl, in:, 35th International Symposium on Computational Geometry (SoCG 2019), Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019.
2019 |Published| Journal Article | IST-REx-ID: 5790 |
Extending partial representations of circle graphs
S. Chaplick, R. Fulek, P. Klavík, Journal of Graph Theory 91 (2019) 365–394.
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S. Chaplick, R. Fulek, P. Klavík, Journal of Graph Theory 91 (2019) 365–394.
2019 |Published| Journal Article | IST-REx-ID: 5857 |
Thrackles: An improved upper bound
R. Fulek, J. Pach, Discrete Applied Mathematics 259 (2019) 266–231.
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R. Fulek, J. Pach, Discrete Applied Mathematics 259 (2019) 266–231.
2019 |Published| Journal Article | IST-REx-ID: 6638 |
Graphs with at most one crossing
A. Silva, A.M. Arroyo Guevara, B. Richter, O. Lee, Discrete Mathematics 342 (2019) 3201–3207.
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A. Silva, A.M. Arroyo Guevara, B. Richter, O. Lee, Discrete Mathematics 342 (2019) 3201–3207.
2019 |Published| Journal Article | IST-REx-ID: 7034 |
Counterexample to an extension of the Hanani-Tutte theorem on the surface of genus 4
R. Fulek, J. Kynčl, Combinatorica 39 (2019) 1267–1279.
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R. Fulek, J. Kynčl, Combinatorica 39 (2019) 1267–1279.
2019 |Published| Journal Article | IST-REx-ID: 7108 |
Shellability is NP-complete
X. Goaoc, P. Patak, Z. Patakova, M. Tancer, U. Wagner, Journal of the ACM 66 (2019).
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X. Goaoc, P. Patak, Z. Patakova, M. Tancer, U. Wagner, Journal of the ACM 66 (2019).
2019 |Published| Conference Paper | IST-REx-ID: 7230 |
Extending simple drawings
A.M. Arroyo Guevara, M. Derka, I. Parada, in:, 27th International Symposium on Graph Drawing and Network Visualization, Springer Nature, 2019, pp. 230–243.
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A.M. Arroyo Guevara, M. Derka, I. Parada, in:, 27th International Symposium on Graph Drawing and Network Visualization, Springer Nature, 2019, pp. 230–243.
2019 |Published| Thesis | IST-REx-ID: 6681 |
Algorithmic aspects of homotopy theory and embeddability
S.Y. Zhechev, Algorithmic Aspects of Homotopy Theory and Embeddability, Institute of Science and Technology Austria, 2019.
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S.Y. Zhechev, Algorithmic Aspects of Homotopy Theory and Embeddability, Institute of Science and Technology Austria, 2019.
2019 |Submitted| Preprint | IST-REx-ID: 8182 |
Vanishing of all equivariant obstructions and the mapping degree
S. Avvakumov, S. Kudrya, ArXiv (n.d.).
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S. Avvakumov, S. Kudrya, ArXiv (n.d.).
2019 |Submitted| Preprint | IST-REx-ID: 8185 |
Envy-free division using mapping degree
S. Avvakumov, R. Karasev, ArXiv (n.d.).
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S. Avvakumov, R. Karasev, ArXiv (n.d.).
2019 |Published| Journal Article | IST-REx-ID: 5986 |
A proof of the orbit conjecture for flipping edge-labelled triangulations
A. Lubiw, Z. Masárová, U. Wagner, Discrete & Computational Geometry 61 (2019) 880–898.
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A. Lubiw, Z. Masárová, U. Wagner, Discrete & Computational Geometry 61 (2019) 880–898.
2019 |Published| Conference Paper | IST-REx-ID: 6556 |
3-manifold triangulations with small treewidth
K. Huszár, J. Spreer, in:, 35th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019, p. 44:1-44:20.
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K. Huszár, J. Spreer, in:, 35th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019, p. 44:1-44:20.
2019 |Published| Journal Article | IST-REx-ID: 7093 |
On the treewidth of triangulated 3-manifolds
K. Huszár, J. Spreer, U. Wagner, Journal of Computational Geometry 10 (2019) 70–98.
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K. Huszár, J. Spreer, U. Wagner, Journal of Computational Geometry 10 (2019) 70–98.
2019 |Submitted| Preprint | IST-REx-ID: 8184 |
Stronger counterexamples to the topological Tverberg conjecture
S. Avvakumov, R. Karasev, A. Skopenkov, ArXiv (n.d.).
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S. Avvakumov, R. Karasev, A. Skopenkov, ArXiv (n.d.).
2019 |Published| Journal Article | IST-REx-ID: 6982 |
Recognizing weak embeddings of graphs
H. Akitaya, R. Fulek, C. Tóth, ACM Transactions on Algorithms 15 (2019).
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H. Akitaya, R. Fulek, C. Tóth, ACM Transactions on Algorithms 15 (2019).
2019 |Published| Conference Paper | IST-REx-ID: 6647 |
The crossing Tverberg theorem
R. Fulek, B. Gärtner, A. Kupavskii, P. Valtr, U. Wagner, in:, 35th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019, p. 38:1-38:13.
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R. Fulek, B. Gärtner, A. Kupavskii, P. Valtr, U. Wagner, in:, 35th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019, p. 38:1-38:13.
2019 |Submitted| Preprint | IST-REx-ID: 7950 |
Token swapping on trees
A. Biniaz, K. Jain, A. Lubiw, Z. Masárová, T. Miltzow, D. Mondal, A.M. Naredla, J. Tkadlec, A. Turcotte, ArXiv (n.d.).
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A. Biniaz, K. Jain, A. Lubiw, Z. Masárová, T. Miltzow, D. Mondal, A.M. Naredla, J. Tkadlec, A. Turcotte, ArXiv (n.d.).
2018 |Published| Conference Paper | IST-REx-ID: 185 |
Hanani-Tutte for approximating maps of graphs
R. Fulek, J. Kynčl, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018.
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R. Fulek, J. Kynčl, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018.
2018 |Published| Conference Paper | IST-REx-ID: 186 |
The ℤ2-Genus of Kuratowski minors
R. Fulek, J. Kynčl, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018, p. 40.1-40.14.
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R. Fulek, J. Kynčl, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018, p. 40.1-40.14.
2018 |Published| Conference Paper | IST-REx-ID: 433 |
Thrackles: An improved upper bound
R. Fulek, J. Pach, in:, Springer, 2018, pp. 160–166.
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R. Fulek, J. Pach, in:, Springer, 2018, pp. 160–166.
2018 |Published| Conference Paper | IST-REx-ID: 184 |
Shellability is NP-complete
X. Goaoc, P. Paták, Z. Patakova, M. Tancer, U. Wagner, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018, p. 41:1-41:16.
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X. Goaoc, P. Paták, Z. Patakova, M. Tancer, U. Wagner, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018, p. 41:1-41:16.
2018 |Published| Conference Paper | IST-REx-ID: 285 |
On the treewidth of triangulated 3-manifolds
K. Huszár, J. Spreer, U. Wagner, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018.
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K. Huszár, J. Spreer, U. Wagner, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018.
2018 |Published| Journal Article | IST-REx-ID: 6774 |
Computing simplicial representatives of homotopy group elements
M. Filakovský, P. Franek, U. Wagner, S.Y. Zhechev, Journal of Applied and Computational Topology 2 (2018) 177–231.
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M. Filakovský, P. Franek, U. Wagner, S.Y. Zhechev, Journal of Applied and Computational Topology 2 (2018) 177–231.
2018 |Published| Conference Paper | IST-REx-ID: 5791 |
Crossing minimization in perturbed drawings
R. Fulek, C.D. Tóth, in:, Springer, 2018, pp. 229–241.
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R. Fulek, C.D. Tóth, in:, Springer, 2018, pp. 229–241.
2018 |Published| Journal Article | IST-REx-ID: 425 |
Embeddability in the 3-Sphere is decidable
J. Matoušek, E. Sedgwick, M. Tancer, U. Wagner, Journal of the ACM 65 (2018).
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J. Matoušek, E. Sedgwick, M. Tancer, U. Wagner, Journal of the ACM 65 (2018).
2018 |Published| Conference Paper | IST-REx-ID: 309 |
Recognizing weak embeddings of graphs
H. Akitaya, R. Fulek, C. Tóth, in:, ACM, 2018, pp. 274–292.
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H. Akitaya, R. Fulek, C. Tóth, in:, ACM, 2018, pp. 274–292.
2018 |Published| Journal Article | IST-REx-ID: 5960 |
Proving the existence of loops in robot trajectories
S. Rohou, P. Franek, C. Aubry, L. Jaulin, The International Journal of Robotics Research 37 (2018) 1500–1516.
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S. Rohou, P. Franek, C. Aubry, L. Jaulin, The International Journal of Robotics Research 37 (2018) 1500–1516.
2018 |Published| Journal Article | IST-REx-ID: 6355 |
Any cyclic quadrilateral can be inscribed in any closed convex smooth curve
A. Akopyan, S. Avvakumov, Forum of Mathematics, Sigma 6 (2018).
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A. Akopyan, S. Avvakumov, Forum of Mathematics, Sigma 6 (2018).
2018 |Published| Journal Article | IST-REx-ID: 742 |
On expansion and topological overlap
D. Dotterrer, T. Kaufman, U. Wagner, Geometriae Dedicata 195 (2018) 307–317.
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D. Dotterrer, T. Kaufman, U. Wagner, Geometriae Dedicata 195 (2018) 307–317.
2017 |Published| Journal Article | IST-REx-ID: 1113 |
Hanani-Tutte for radial planarity
R. Fulek, M. Pelsmajer, M. Schaefer, Journal of Graph Algorithms and Applications 21 (2017) 135–154.
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R. Fulek, M. Pelsmajer, M. Schaefer, Journal of Graph Algorithms and Applications 21 (2017) 135–154.
2017 |Published| Journal Article | IST-REx-ID: 534 |
Finding non-orientable surfaces in 3-Manifolds
B. Burton, A.N. de Mesmay, U. Wagner, Discrete & Computational Geometry 58 (2017) 871–888.
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B. Burton, A.N. de Mesmay, U. Wagner, Discrete & Computational Geometry 58 (2017) 871–888.
2017 |Published| Journal Article | IST-REx-ID: 568 |
Persistence of zero sets
P. Franek, M. Krcál, Homology, Homotopy and Applications 19 (2017) 313–342.
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P. Franek, M. Krcál, Homology, Homotopy and Applications 19 (2017) 313–342.
2017 |Published| Journal Article | IST-REx-ID: 610 |
On generalized Heawood inequalities for manifolds: A van Kampen–Flores type nonembeddability result
X. Goaoc, I. Mabillard, P. Paták, Z. Patakova, M. Tancer, U. Wagner, Israel Journal of Mathematics 222 (2017) 841–866.
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X. Goaoc, I. Mabillard, P. Paták, Z. Patakova, M. Tancer, U. Wagner, Israel Journal of Mathematics 222 (2017) 841–866.
2017 |Published| Conference Paper | IST-REx-ID: 6517 |
Embedding graphs into embedded graphs
R. Fulek, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017.
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R. Fulek, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017.
2017 |Published| Conference Paper | IST-REx-ID: 688 |
Topological data analysis with Bregman divergences
H. Edelsbrunner, H. Wagner, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017, pp. 391–3916.
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H. Edelsbrunner, H. Wagner, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017, pp. 391–3916.
2017 |Published| Journal Article | IST-REx-ID: 701 |
On the nonexistence of k reptile simplices in ℝ^3 and ℝ^4
J. Kynčl, Z. Patakova, The Electronic Journal of Combinatorics 24 (2017) 1–44.
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J. Kynčl, Z. Patakova, The Electronic Journal of Combinatorics 24 (2017) 1–44.
2017 |Published| Journal Article | IST-REx-ID: 795 |
Unified Hanani Tutte theorem
R. Fulek, J. Kynčl, D. Pálvölgyi, Electronic Journal of Combinatorics 24 (2017).
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R. Fulek, J. Kynčl, D. Pálvölgyi, Electronic Journal of Combinatorics 24 (2017).
2017 |Published| Conference Paper | IST-REx-ID: 683 |
A proof of the orbit conjecture for flipping edge labelled triangulations
A. Lubiw, Z. Masárová, U. Wagner, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017.
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A. Lubiw, Z. Masárová, U. Wagner, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017.
2017 |Published| Journal Article | IST-REx-ID: 1073 |
Algorithmic solvability of the lifting extension problem
M. Čadek, M. Krcál, L. Vokřínek, Discrete & Computational Geometry 54 (2017) 915–965.
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M. Čadek, M. Krcál, L. Vokřínek, Discrete & Computational Geometry 54 (2017) 915–965.
2017 |Published| Journal Article | IST-REx-ID: 793 |
On the existence of ordinary triangles
R. Fulek, H. Mojarrad, M. Naszódi, J. Solymosi, S. Stich, M. Szedlák, Computational Geometry: Theory and Applications 66 (2017) 28–31.
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R. Fulek, H. Mojarrad, M. Naszódi, J. Solymosi, S. Stich, M. Szedlák, Computational Geometry: Theory and Applications 66 (2017) 28–31.
2017 |Published| Journal Article | IST-REx-ID: 794 |
C-planarity of embedded cyclic c-graphs
R. Fulek, Computational Geometry: Theory and Applications 66 (2017) 1–13.
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R. Fulek, Computational Geometry: Theory and Applications 66 (2017) 1–13.
2017 |Published| Book Chapter | IST-REx-ID: 424 |
Bounding helly numbers via betti numbers
X. Goaoc, P. Paták, Z. Patakova, M. Tancer, U. Wagner, in:, M. Loebl, J. Nešetřil, R. Thomas (Eds.), A Journey through Discrete Mathematics: A Tribute to Jiri Matousek, Springer, 2017, pp. 407–447.
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X. Goaoc, P. Paták, Z. Patakova, M. Tancer, U. Wagner, in:, M. Loebl, J. Nešetřil, R. Thomas (Eds.), A Journey through Discrete Mathematics: A Tribute to Jiri Matousek, Springer, 2017, pp. 407–447.
2016 |Published| Conference Paper | IST-REx-ID: 1237
Computation of cubical Steenrod squares
M. Krcál, P. Pilarczyk, in:, Springer, 2016, pp. 140–151.
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M. Krcál, P. Pilarczyk, in:, Springer, 2016, pp. 140–151.
2016 |Published| Journal Article | IST-REx-ID: 1282 |
On eigenvalues of random complexes
A. Gundert, U. Wagner, Israel Journal of Mathematics 216 (2016) 545–582.
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A. Gundert, U. Wagner, Israel Journal of Mathematics 216 (2016) 545–582.
2016 |Published| Conference Paper | IST-REx-ID: 1348 |
Bounded embeddings of graphs in the plane
R. Fulek, in:, Springer, 2016, pp. 31–42.
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R. Fulek, in:, Springer, 2016, pp. 31–42.
2016 |Published| Conference Paper | IST-REx-ID: 1381 |
Eliminating higher-multiplicity intersections, II. The deleted product criterion in the r-metastable range
I. Mabillard, U. Wagner, in:, Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, 2016, p. 51.1-51.12.
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I. Mabillard, U. Wagner, in:, Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, 2016, p. 51.1-51.12.
2016 |Published| Journal Article | IST-REx-ID: 1408 |
On computability and triviality of well groups
P. Franek, M. Krcál, Discrete & Computational Geometry 56 (2016) 126–164.
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P. Franek, M. Krcál, Discrete & Computational Geometry 56 (2016) 126–164.