On the volume of projections of the cross-polytope
G. Ivanov, Discrete Mathematics 344 (2021).
LibreCat: https://research-explorer.ista.ac.at/record/9098
DOI: 10.1016/j.disc.2021.112312
WoS: 000633365200001
arXiv: 1808.09165

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.
LibreCat: https://research-explorer.ista.ac.at/record/9295
DOI: 10.1002/jgt.22665
WoS: 000631693200001
arXiv: 2002.02287

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.
LibreCat: https://research-explorer.ista.ac.at/record/9468
DOI: 10.1137/20M1313234
WoS: 000674142200022
arXiv: 2001.06053

Functional Löwner ellipsoids
G. Ivanov, I. Tsiutsiurupa, Journal of Geometric Analysis 31 (2021) 11493–11528.
LibreCat: https://research-explorer.ista.ac.at/record/9548
DOI: 10.1007/s12220-021-00691-4
WoS: 000656507500001
arXiv: 2008.09543

Eliminating higher-multiplicity intersections. III. Codimension 2
S. Avvakumov, I. Mabillard, A.B. Skopenkov, U. Wagner, Israel Journal of Mathematics 245 (2021) 501–534.
LibreCat: https://research-explorer.ista.ac.at/record/10220
DOI: 10.1007/s11856-021-2216-z
WoS: 000712942100013
arXiv: 1511.03501

On the volume of sections of the cube
G. Ivanov, I. Tsiutsiurupa, Analysis and Geometry in Metric Spaces 9 (2021) 1–18.
LibreCat: https://research-explorer.ista.ac.at/record/10856
DOI: 10.1515/agms-2020-0103
WoS: 000734286800001
arXiv: 2004.02674

Tight frames and related geometric problems
G. Ivanov, Canadian Mathematical Bulletin 64 (2021) 942–963.
LibreCat: https://research-explorer.ista.ac.at/record/10860
DOI: 10.4153/s000843952000096x
WoS: 000730165300021
arXiv: 1804.10055

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.
LibreCat: https://research-explorer.ista.ac.at/record/7806
DOI: 10.1137/1.9781611975994.47

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.
LibreCat: https://research-explorer.ista.ac.at/record/7991
DOI: 10.4230/LIPIcs.SoCG.2020.12
arXiv: 1909.00263

Bounding radon number via Betti numbers
Z. Patakova, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/7989
DOI: 10.4230/LIPIcs.SoCG.2020.61
arXiv: 1908.01677

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.
LibreCat: https://research-explorer.ista.ac.at/record/7992
DOI: 10.4230/LIPIcs.SoCG.2020.62
arXiv: 2003.13536

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.
LibreCat: https://research-explorer.ista.ac.at/record/7994
DOI: 10.4230/LIPIcs.SoCG.2020.9
arXiv: 1804.09317

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.
LibreCat: https://research-explorer.ista.ac.at/record/7990
DOI: 10.4230/LIPIcs.SoCG.2020.67
arXiv: 2003.13557

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.
LibreCat: https://research-explorer.ista.ac.at/record/7807
DOI: 10.1137/1.9781611975994.172
arXiv: 2003.13557

Eliminating higher-multiplicity intersections, III. Codimension 2
S. Avvakumov, U. Wagner, I. Mabillard, A.B. Skopenkov, Russian Mathematical Surveys 75 (2020) 1156–1158.
LibreCat: https://research-explorer.ista.ac.at/record/9308
DOI: 10.1070/RM9943
WoS: 000625983100001
arXiv: 1511.03501

Are two given maps homotopic? An algorithmic viewpoint
M. Filakovský, L. Vokínek, Foundations of Computational Mathematics 20 (2020) 311–330.
LibreCat: https://research-explorer.ista.ac.at/record/6563
DOI: 10.1007/s10208-019-09419-x
WoS: 000522437400004
arXiv: 1312.2337

Intersection patterns of planar sets
G. Kalai, Z. Patakova, Discrete and Computational Geometry 64 (2020) 304–323.
LibreCat: https://research-explorer.ista.ac.at/record/7960
DOI: 10.1007/s00454-020-00205-z
WoS: 000537329400001
arXiv: 1907.00885

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.
LibreCat: https://research-explorer.ista.ac.at/record/8732
DOI: 10.1007/978-3-030-60440-0_26

Reconfiguration problems
Z. Masárová, Reconfiguration Problems, Institute of Science and Technology Austria, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/7944
DOI: 10.15479/AT:ISTA:7944

Combinatorial width parameters for 3-dimensional manifolds
K. Huszár, Combinatorial Width Parameters for 3-Dimensional Manifolds, Institute of Science and Technology Austria, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/8032
DOI: 10.15479/AT:ISTA:8032