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261 Publications


2024 | Conference Paper | IST-REx-ID: 14888 | OA
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.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2024 | Conference Paper | IST-REx-ID: 15012 | OA
Decomposition of geometric graphs into star-forests
J. Pach, M. Saghafian, P. Schnider, in:, 31st International Symposium on Graph Drawing and Network Visualization, Springer Nature, 2024, pp. 339–346.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2024 | Thesis | IST-REx-ID: 15094 | OA
Persistence and Morse theory for discrete geometric structures
S. Cultrera di Montesano, Persistence and Morse Theory for Discrete Geometric Structures, Institute of Science and Technology Austria, 2024.
[Published Version] View | Files available | DOI
 

2024 | Conference Paper | IST-REx-ID: 15093 | OA
Dynamically maintaining the persistent homology of time series
S. Cultrera di Montesano, H. Edelsbrunner, M.H. Henzinger, L. Ost, in:, D.P. Woodruff (Ed.), Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), Society for Industrial and Applied Mathematics, 2024, pp. 243–295.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 

2024 | Preprint | IST-REx-ID: 15091 | OA
Chromatic alpha complexes
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, M. Saghafian, ArXiv (n.d.).
[Preprint] View | Files available | Download Preprint (ext.) | arXiv
 

2023 | Conference Paper | IST-REx-ID: 13048 | OA
Hausdorff and Gromov-Hausdorff stable subsets of the medial axis
A. Lieutier, M. Wintraecken, in:, Proceedings of the 55th Annual ACM Symposium on Theory of Computing, Association for Computing Machinery, 2023, pp. 1768–1776.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2023 | Journal Article | IST-REx-ID: 12086 | OA
A simple algorithm for higher-order Delaunay mosaics and alpha shapes
H. Edelsbrunner, G.F. Osang, Algorithmica 85 (2023) 277–295.
[Published Version] View | Files available | DOI | WoS
 

2023 | Journal Article | IST-REx-ID: 12287 | OA
Local criteria for triangulating general manifolds
J.-D. Boissonnat, R. Dyer, A. Ghosh, M. Wintraecken, Discrete & Computational Geometry 69 (2023) 156–191.
[Published Version] View | Files available | DOI | WoS
 

2023 | Conference Paper | IST-REx-ID: 12548 | OA
Visual analytics of mobility network changes observed using mobile phone data during COVID-19 pandemic
M. Forghani, C. Claramunt, F. Karimipour, G. Heiler, in:, 2022 IEEE International Conference on Data Mining Workshops, Institute of Electrical and Electronics Engineers, 2023.
[Submitted Version] View | Files available | DOI | WoS
 

2023 | Journal Article | IST-REx-ID: 12544 | OA
Computing the volume, surface area, mean, and Gaussian curvatures of molecules and their derivatives
P. Koehl, A. Akopyan, H. Edelsbrunner, Journal of Chemical Information and Modeling 63 (2023) 973–985.
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC
 

2023 | Journal Article | IST-REx-ID: 12764 | OA
Discrete yamabe problem for polyhedral surfaces
H. Kourimska, Discrete and Computational Geometry 70 (2023) 123–153.
[Published Version] View | Files available | DOI | WoS
 

2023 | Journal Article | IST-REx-ID: 12709 | OA
Computing the multicover bifiltration
R. Corbet, M. Kerber, M. Lesnick, G.F. Osang, Discrete and Computational Geometry 70 (2023) 376–405.
[Published Version] View | Files available | DOI | WoS | arXiv
 

2023 | Journal Article | IST-REx-ID: 12763 | OA
The reach of subsets of manifolds
J.D. Boissonnat, M. Wintraecken, Journal of Applied and Computational Topology 7 (2023) 619–641.
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 

2023 | Journal Article | IST-REx-ID: 12960 | OA
Tracing isomanifolds in Rd in time polynomial in d using Coxeter–Freudenthal–Kuhn triangulations
J.D. Boissonnat, S. Kachanovich, M. Wintraecken, SIAM Journal on Computing 52 (2023) 452–486.
[Submitted Version] View | Files available | DOI | Download Submitted Version (ext.) | WoS
 

2023 | Journal Article | IST-REx-ID: 13134
Discrete analytical objects in the body-centered cubic grid
L. Čomić, G. Largeteau-Skapin, R. Zrour, R. Biswas, E. Andres, Pattern Recognition 142 (2023).
View | DOI | WoS
 

2023 | Journal Article | IST-REx-ID: 14557
Epimorphisms and closure operators of categories of semilattices
D. Dikranjan, A. Giordano Bruno, N. Zava, Quaestiones Mathematicae 46 (2023) 191–221.
View | DOI
 

2023 | Journal Article | IST-REx-ID: 14345 | OA
On angles in higher order Brillouin tessellations and related tilings in the plane
H. Edelsbrunner, A. Garber, M. Ghafari, T. Heiss, M. Saghafian, Discrete and Computational Geometry (2023).
[Published Version] View | DOI | Download Published Version (ext.) | WoS | arXiv
 

2023 | Journal Article | IST-REx-ID: 14464 | OA
Optimal embedded and enclosing isosceles triangles
Á. Ambrus, M. Csikós, G. Kiss, J. Pach, G. Somlai, International Journal of Foundations of Computer Science 34 (2023) 737–760.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

2023 | Journal Article | IST-REx-ID: 12833 | OA
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).
[Published Version] View | Files available | DOI | arXiv
 

2023 | Journal Article | IST-REx-ID: 14739 | OA
A survey of vectorization methods in topological data analysis
D. Ali, A. Asaad, M.-J. Jimenez, V. Nanda, E. Paluzo-Hidalgo, M. Soriano Trigueros, IEEE Transactions on Pattern Analysis and Machine Intelligence 45 (2023) 14069–14080.
[Published Version] View | Files available | DOI
 

2023 | Journal Article | IST-REx-ID: 13165 | OA
Successive vertex orderings of fully regular graphs
L. Fang, H. Huang, J. Pach, G. Tardos, J. Zuo, Journal of Combinatorial Theory. Series A 199 (2023).
[Published Version] View | Files available | DOI | arXiv
 

2023 | Journal Article | IST-REx-ID: 14362 | OA
Weakly weighted generalised quasi-metric spaces and semilattices
I. Castellano, A. Giordano Bruno, N. Zava, Theoretical Computer Science 977 (2023).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

2023 | Journal Article | IST-REx-ID: 13182 | OA
Geometric characterization of the persistence of 1D maps
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, Journal of Applied and Computational Topology (2023).
[Published Version] View | Files available | DOI
 

2023 | Thesis | IST-REx-ID: 14226 | OA
Generalizing medial axes with homology switches
E.R. Stephenson, Generalizing Medial Axes with Homology Switches, Institute of Science and Technology Austria, 2023.
[Published Version] View | Files available | DOI
 

2022 | Conference Paper | IST-REx-ID: 11428 | OA
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.
[Published Version] View | Files available | DOI
 

2022 | 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.
View | DOI
 

2022 | Book Chapter | IST-REx-ID: 11440 | OA
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.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2022 | Journal Article | IST-REx-ID: 12307
Tangible topology through the lens of limits
B.A. Shipman, E.R. Stephenson, PRIMUS 32 (2022) 593–609.
View | DOI
 

2022 | Journal Article | IST-REx-ID: 11938 | OA
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.
[Published Version] View | Files available | DOI | arXiv
 

2022 | Journal Article | IST-REx-ID: 9649 | OA
The topological correctness of PL approximations of isomanifolds
J.-D. Boissonnat, M. Wintraecken, Foundations of Computational Mathematics 22 (2022) 967–1012.
[Published Version] View | Files available | DOI | WoS
 

2022 | 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).
View | DOI | WoS
 

2022 | Journal Article | IST-REx-ID: 10773 | OA
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.
[Published Version] View | Files available | DOI | WoS
 

2022 | Conference Paper | IST-REx-ID: 10828 | OA
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.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

2022 | Journal Article | IST-REx-ID: 11545 | OA
Contravariant pairings between standard Whittaker modules and Verma modules
A. Brown, A. Romanov, Journal of Algebra 609 (2022) 145–179.
[Published Version] View | Files available | DOI | WoS
 

2022 | Journal Article | IST-REx-ID: 10754 | OA
Developing a mathematical model of intracellular Calcium dynamics for evaluating combined anticancer effects of afatinib and RP4010 in esophageal cancer
Y. Chang, M. Funk, S. Roy, E.R. Stephenson, S. Choi, H.V. Kojouharov, B. Chen, Z. Pan, International Journal of Molecular Sciences 23 (2022).
[Published Version] View | Files available | DOI | WoS
 

2022 | Journal Article | IST-REx-ID: 7791 | OA
When different norms lead to same billiard trajectories?
A. Akopyan, R. Karasev, European Journal of Mathematics 8 (2022) 1309–1312.
[Published Version] View | Files available | DOI | arXiv
 

2022 | Journal Article | IST-REx-ID: 11660 | OA
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.).
[Submitted Version] View | Files available
 

2022 | Journal Article | IST-REx-ID: 11658 | OA
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] View | Files available
 

2022 | Preprint | IST-REx-ID: 15090 | OA
On the size of chromatic Delaunay mosaics
R. Biswas, S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, M. Saghafian, ArXiv (n.d.).
[Preprint] View | Files available | Download Preprint (ext.) | arXiv
 

2022 | Journal Article | IST-REx-ID: 10208 | OA
A context-aware dimension reduction framework for trajectory and health signal analyses
S. Goudarzi, M. Sharif, F. Karimipour, Journal of Ambient Intelligence and Humanized Computing 13 (2022) 2621–2635.
[Submitted Version] View | Files available | DOI | WoS
 

2021 | Journal Article | IST-REx-ID: 10071 | OA
How to tutorial-a-thon
H. Adams, H. Kourimska, T. Heiss, S. Percival, L. Ziegelmeier, Notices of the American Mathematical Society 68 (2021) 1511–1514.
[Published Version] View | DOI | Download Published Version (ext.)
 

2021 | Conference Paper | IST-REx-ID: 10367 | OA
Recognizing multimodal entailment
C. Ilharco, A. Shirazi, A. Gopalan, A. Nagrani, B. Bratanič, C. Bregler, C. Liu, F. Ferreira, G. Barcik, G. Ilharco, G.F. Osang, J. Bulian, J. Frank, L. Smaira, Q. Cao, R. Marino, R. Patel, T. Leung, V. Imbrasaite, in:, 59th Annual Meeting of the Association for Computational Linguistics and the 11th International Joint Conference on Natural Language Processing, Tutorial Abstracts, Association for Computational Linguistics, 2021, pp. 29–30.
[Published Version] View | Files available | DOI | Download Published Version (ext.)
 

2021 | Journal Article | IST-REx-ID: 10608 | OA
Coarse infinite-dimensionality of hyperspaces of finite subsets
T. Weighill, T. Yamauchi, N. Zava, European Journal of Mathematics (2021).
[Published Version] View | Files available | DOI
 

2021 | Conference Paper | IST-REx-ID: 9296 | OA
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.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 

2021 | Journal Article | IST-REx-ID: 9465 | OA
A step in the Delaunay mosaic of order k
H. Edelsbrunner, A. Nikitenko, G.F. Osang, Journal of Geometry 112 (2021).
[Published Version] View | Files available | DOI
 

2021 | Conference Paper | IST-REx-ID: 9345 | OA
The density fingerprint of a periodic point set
H. Edelsbrunner, T. Heiss, V. Kurlin , P. Smith, M. Wintraecken, in:, 37th International Symposium on Computational Geometry (SoCG 2021), Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021, p. 32:1-32:16.
[Published Version] View | Files available | DOI
 

2021 | Conference Paper | IST-REx-ID: 9604 | OA
Counting cells of order-k voronoi tessellations in ℝ3 with morse theory
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, in:, Leibniz International Proceedings in Informatics, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021.
[Published Version] View | Files available | DOI
 

2021 | Conference Paper | IST-REx-ID: 9824
Body centered cubic grid - coordinate system and discrete analytical plane definition
L. Čomić, R. Zrour, G. Largeteau-Skapin, R. Biswas, E. Andres, in:, Discrete Geometry and Mathematical Morphology, Springer Nature, 2021, pp. 152–163.
View | DOI
 

2021 | Journal Article | IST-REx-ID: 8317 | OA
Folding polyominoes with holes into a cube
O. Aichholzer, H.A. Akitaya, K.C. Cheung, E.D. Demaine, M.L. Demaine, S.P. Fekete, L. Kleist, I. Kostitsyna, M. Löffler, Z. Masárová, K. Mundilova, C. Schmidt, Computational Geometry: Theory and Applications 93 (2021).
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 

2021 | Journal Article | IST-REx-ID: 8773 | OA
Contravariant forms on Whittaker modules
A. Brown, A. Romanov, Proceedings of the American Mathematical Society 149 (2021) 37–52.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

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