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283 Publications
2023 | Published | Journal Article | IST-REx-ID: 12086 | 
A simple algorithm for higher-order Delaunay mosaics and alpha shapes
H. Edelsbrunner, G.F. Osang, Algorithmica 85 (2023) 277–295.
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H. Edelsbrunner, G.F. Osang, Algorithmica 85 (2023) 277–295.
2023 | Published | Journal Article | IST-REx-ID: 12764 |
Discrete yamabe problem for polyhedral surfaces
H. Kourimska, Discrete and Computational Geometry 70 (2023) 123–153.
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H. Kourimska, Discrete and Computational Geometry 70 (2023) 123–153.
2023 | Published | Journal Article | IST-REx-ID: 12709 |
Computing the multicover bifiltration
R. Corbet, M. Kerber, M. Lesnick, G.F. Osang, Discrete and Computational Geometry 70 (2023) 376–405.
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R. Corbet, M. Kerber, M. Lesnick, G.F. Osang, Discrete and Computational Geometry 70 (2023) 376–405.
2023 | Published | Thesis | IST-REx-ID: 14226 |
Generalizing medial axes with homology switches
E.R. Stephenson, Generalizing Medial Axes with Homology Switches, Institute of Science and Technology Austria, 2023.
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E.R. Stephenson, Generalizing Medial Axes with Homology Switches, Institute of Science and Technology Austria, 2023.
2022 | Published | Book (Editor) | IST-REx-ID: 11429
Web and Wireless Geographical Information Systems
F. Karimipour, S. Storandt, eds., Web and Wireless Geographical Information Systems, 1st ed., Springer Nature, Cham, 2022.
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F. Karimipour, S. Storandt, eds., Web and Wireless Geographical Information Systems, 1st ed., Springer Nature, Cham, 2022.
2022 | Published | Journal Article | IST-REx-ID: 12307
Tangible topology through the lens of limits
B.A. Shipman, E.R. Stephenson, PRIMUS 32 (2022) 593–609.
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B.A. Shipman, E.R. Stephenson, PRIMUS 32 (2022) 593–609.
2022 | Published | Journal Article | IST-REx-ID: 10413
Generalized quasi-metric semilattices
D. Dikranjan, A. Giordano Bruno, H.P. Künzi, N. Zava, D. Toller, Topology and Its Applications 309 (2022).
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D. Dikranjan, A. Giordano Bruno, H.P. Künzi, N. Zava, D. Toller, Topology and Its Applications 309 (2022).
2022 | Published | Journal Article | IST-REx-ID: 10608 |
Coarse infinite-dimensionality of hyperspaces of finite subsets
T. Weighill, T. Yamauchi, N. Zava, European Journal of Mathematics 8 (2022) 335–355.
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T. Weighill, T. Yamauchi, N. Zava, European Journal of Mathematics 8 (2022) 335–355.
2022 | Published | Journal Article | IST-REx-ID: 10773 |
Continuous and discrete radius functions on Voronoi tessellations and Delaunay mosaics
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, Discrete and Computational Geometry 67 (2022) 811–842.
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R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, Discrete and Computational Geometry 67 (2022) 811–842.
2022 | Published | Journal Article | IST-REx-ID: 8538 |
Billiards in ellipses revisited
A. Akopyan, R. Schwartz, S. Tabachnikov, European Journal of Mathematics 8 (2022) 1313–1327.
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A. Akopyan, R. Schwartz, S. Tabachnikov, European Journal of Mathematics 8 (2022) 1313–1327.
2022 | Published | Book Chapter | IST-REx-ID: 11440 |
The persistent homology of dual digital image constructions
B. Bleile, A. Garin, T. Heiss, K. Maggs, V. Robins, in:, E. Gasparovic, V. Robins, K. Turner (Eds.), Research in Computational Topology 2, 1st ed., Springer Nature, Cham, 2022, pp. 1–26.
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B. Bleile, A. Garin, T. Heiss, K. Maggs, V. Robins, in:, E. Gasparovic, V. Robins, K. Turner (Eds.), Research in Computational Topology 2, 1st ed., Springer Nature, Cham, 2022, pp. 1–26.
2022 | Published | Conference Paper | IST-REx-ID: 10828 |
The impact of changes in resolution on the persistent homology of images
T. Heiss, S. Tymochko, B. Story, A. Garin, H. Bui, B. Bleile, V. Robins, in:, 2021 IEEE International Conference on Big Data, IEEE, 2022, pp. 3824–3834.
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T. Heiss, S. Tymochko, B. Story, A. Garin, H. Bui, B. Bleile, V. Robins, in:, 2021 IEEE International Conference on Big Data, IEEE, 2022, pp. 3824–3834.
2022 | Published | Journal Article | IST-REx-ID: 7791 |
When different norms lead to same billiard trajectories?
A. Akopyan, R. Karasev, European Journal of Mathematics 8 (2022) 1309–1312.
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A. Akopyan, R. Karasev, European Journal of Mathematics 8 (2022) 1309–1312.
2022 | Published | Journal Article | IST-REx-ID: 11545 |
Contravariant pairings between standard Whittaker modules and Verma modules
A. Brown, A. Romanov, Journal of Algebra 609 (2022) 145–179.
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A. Brown, A. Romanov, Journal of Algebra 609 (2022) 145–179.
2022 | Published | Conference Paper | IST-REx-ID: 11428 |
A cautionary tale: Burning the medial axis is unstable
E. Chambers, C.D. Fillmore, E.R. Stephenson, M. Wintraecken, in:, X. Goaoc, M. Kerber (Eds.), 38th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022, p. 66:1-66:9.
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E. Chambers, C.D. Fillmore, E.R. Stephenson, M. Wintraecken, in:, X. Goaoc, M. Kerber (Eds.), 38th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022, p. 66:1-66:9.
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.
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 | Journal Article | IST-REx-ID: 9649 |
The topological correctness of PL approximations of isomanifolds
J.-D. Boissonnat, M. Wintraecken, Foundations of Computational Mathematics 22 (2022) 967–1012.
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J.-D. Boissonnat, M. Wintraecken, Foundations of Computational Mathematics 22 (2022) 967–1012.
2022 | Submitted | Journal Article | IST-REx-ID: 11660 |
A window to the persistence of 1D maps. I: Geometric characterization of critical point pairs
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, LIPIcs (n.d.).
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R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, LIPIcs (n.d.).
2022 | Draft | Journal Article | IST-REx-ID: 11658 |
Depth in arrangements: Dehn–Sommerville–Euler relations with applications
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, Leibniz International Proceedings on Mathematics (n.d.).
[Submitted Version]
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R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, Leibniz International Proceedings on Mathematics (n.d.).