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263 Publications

2024 | Conference Paper | IST-REx-ID: 14888 | OA
De Nooijer P, Terziadis S, Weinberger A, Masárová Z, Mchedlidze T, Löffler M, Rote G. 2024. Removing popular faces in curve arrangements. 31st International Symposium on Graph Drawing and Network Visualization. GD: Graph Drawing and Network Visualization, LNCS, vol. 14466, 18–33.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2024 | Conference Paper | IST-REx-ID: 15012 | OA
Pach J, Saghafian M, Schnider P. 2024. Decomposition of geometric graphs into star-forests. 31st International Symposium on Graph Drawing and Network Visualization. GD: Graph Drawing and Network Visualization, LNCS, vol. 14465, 339–346.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2024 | Thesis | IST-REx-ID: 15094 | OA
Cultrera di Montesano S. 2024. Persistence and Morse theory for discrete geometric structures. Institute of Science and Technology Austria.
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2024 | Conference Paper | IST-REx-ID: 15093 | OA
Cultrera di Montesano S, Edelsbrunner H, Henzinger MH, Ost L. 2024. Dynamically maintaining the persistent homology of time series. Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA). SODA: Symposium on Discrete Algorigthms, 243–295.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2024 | Preprint | IST-REx-ID: 15091 | OA
Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic alpha complexes. arXiv, 2212.03128.
[Preprint] View | Files available | Download Preprint (ext.) | arXiv
 
2024 | Journal Article | IST-REx-ID: 15247 | OA
Frankl P, Pach J, Pálvölgyi D. 2024. Odd-sunflowers. Journal of Combinatorial Theory, Series A. 206(8), 105889.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
2023 | Conference Paper | IST-REx-ID: 13048 | OA
Lieutier A, Wintraecken M. 2023. Hausdorff and Gromov-Hausdorff stable subsets of the medial axis. Proceedings of the 55th Annual ACM Symposium on Theory of Computing. STOC: Symposium on Theory of Computing, 1768–1776.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2023 | Journal Article | IST-REx-ID: 12086 | OA
Edelsbrunner H, Osang GF. 2023. A simple algorithm for higher-order Delaunay mosaics and alpha shapes. Algorithmica. 85, 277–295.
[Published Version] View | Files available | DOI | WoS
 
2023 | Journal Article | IST-REx-ID: 12287 | OA
Boissonnat J-D, Dyer R, Ghosh A, Wintraecken M. 2023. Local criteria for triangulating general manifolds. Discrete & Computational Geometry. 69, 156–191.
[Published Version] View | Files available | DOI | WoS
 
2023 | Conference Paper | IST-REx-ID: 12548 | OA
Forghani M, Claramunt C, Karimipour F, Heiler G. 2023. Visual analytics of mobility network changes observed using mobile phone data during COVID-19 pandemic. 2022 IEEE International Conference on Data Mining Workshops. ICDMW: Conference on Data Mining Workshops, 00093.
[Submitted Version] View | Files available | DOI | WoS
 
2023 | Journal Article | IST-REx-ID: 12544 | OA
Koehl P, Akopyan A, Edelsbrunner H. 2023. Computing the volume, surface area, mean, and Gaussian curvatures of molecules and their derivatives. Journal of Chemical Information and Modeling. 63(3), 973–985.
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC
 
2023 | Journal Article | IST-REx-ID: 12764 | OA
Kourimska H. 2023. Discrete yamabe problem for polyhedral surfaces. Discrete and Computational Geometry. 70, 123–153.
[Published Version] View | Files available | DOI | WoS
 
2023 | Journal Article | IST-REx-ID: 12709 | OA
Corbet R, Kerber M, Lesnick M, Osang GF. 2023. Computing the multicover bifiltration. Discrete and Computational Geometry. 70, 376–405.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2023 | Journal Article | IST-REx-ID: 12763 | OA
Boissonnat JD, Wintraecken M. 2023. The reach of subsets of manifolds. Journal of Applied and Computational Topology. 7, 619–641.
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2023 | Journal Article | IST-REx-ID: 12960 | OA
Boissonnat JD, Kachanovich S, Wintraecken M. 2023. Tracing isomanifolds in Rd in time polynomial in d using Coxeter–Freudenthal–Kuhn triangulations. SIAM Journal on Computing. 52(2), 452–486.
[Submitted Version] View | Files available | DOI | Download Submitted Version (ext.) | WoS
 
2023 | Journal Article | IST-REx-ID: 13134
Čomić L, Largeteau-Skapin G, Zrour R, Biswas R, Andres E. 2023. Discrete analytical objects in the body-centered cubic grid. Pattern Recognition. 142(10), 109693.
View | DOI | WoS
 
2023 | Journal Article | IST-REx-ID: 14557
Dikranjan D, Giordano Bruno A, Zava N. 2023. Epimorphisms and closure operators of categories of semilattices. Quaestiones Mathematicae. 46(S1), 191–221.
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2023 | Journal Article | IST-REx-ID: 14345 | OA
Edelsbrunner H, Garber A, Ghafari M, Heiss T, Saghafian M. 2023. On angles in higher order Brillouin tessellations and related tilings in the plane. Discrete and Computational Geometry.
[Published Version] View | DOI | Download Published Version (ext.) | WoS | arXiv
 
2023 | Journal Article | IST-REx-ID: 14464 | OA
Ambrus Á, Csikós M, Kiss G, Pach J, Somlai G. 2023. Optimal embedded and enclosing isosceles triangles. International Journal of Foundations of Computer Science. 34(7), 737–760.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2023 | Journal Article | IST-REx-ID: 12833 | OA
Biniaz A, Jain K, Lubiw A, Masárová Z, Miltzow T, Mondal D, Naredla AM, Tkadlec J, Turcotte A. 2023. Token swapping on trees. Discrete Mathematics and Theoretical Computer Science. 24(2), 9.
[Published Version] View | Files available | DOI | arXiv
 
2023 | Journal Article | IST-REx-ID: 14739 | OA
Ali D, Asaad A, Jimenez M-J, Nanda V, Paluzo-Hidalgo E, Soriano Trigueros M. 2023. A survey of vectorization methods in topological data analysis. IEEE Transactions on Pattern Analysis and Machine Intelligence. 45(12), 14069–14080.
[Published Version] View | Files available | DOI
 
2023 | Journal Article | IST-REx-ID: 13165 | OA
Fang L, Huang H, Pach J, Tardos G, Zuo J. 2023. Successive vertex orderings of fully regular graphs. Journal of Combinatorial Theory. Series A. 199(10), 105776.
[Published Version] View | Files available | DOI | arXiv
 
2023 | Journal Article | IST-REx-ID: 14362 | OA
Castellano I, Giordano Bruno A, Zava N. 2023. Weakly weighted generalised quasi-metric spaces and semilattices. Theoretical Computer Science. 977, 114129.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2023 | Journal Article | IST-REx-ID: 13182 | OA
Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. 2023. Geometric characterization of the persistence of 1D maps. Journal of Applied and Computational Topology.
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2023 | Thesis | IST-REx-ID: 14226 | OA
Stephenson ER. 2023. Generalizing medial axes with homology switches. Institute of Science and Technology Austria.
[Published Version] View | Files available | DOI
 
2022 | Conference Paper | IST-REx-ID: 11428 | OA
Chambers E, Fillmore CD, Stephenson ER, Wintraecken M. 2022. A cautionary tale: Burning the medial axis is unstable. 38th International Symposium on Computational Geometry. SoCG: Symposium on Computational GeometryLIPIcs vol. 224, 66:1-66:9.
[Published Version] View | Files available | DOI
 
2022 | Book (Editor) | IST-REx-ID: 11429
Karimipour F, Storandt S eds. 2022. Web and Wireless Geographical Information Systems 1st ed., Cham: Springer Nature, 153p.
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2022 | Book Chapter | IST-REx-ID: 11440 | OA
Bleile B, Garin A, Heiss T, Maggs K, Robins V. 2022.The persistent homology of dual digital image constructions. In: Research in Computational Topology 2. Association for Women in Mathematics Series, vol. 30, 1–26.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2022 | Journal Article | IST-REx-ID: 12307
Shipman BA, Stephenson ER. 2022. Tangible topology through the lens of limits. PRIMUS. 32(5), 593–609.
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2022 | Journal Article | IST-REx-ID: 11938 | OA
Aichholzer O, Arroyo Guevara AM, Masárová Z, Parada I, Perz D, Pilz A, Tkadlec J, Vogtenhuber B. 2022. On compatible matchings. Journal of Graph Algorithms and Applications. 26(2), 225–240.
[Published Version] View | Files available | DOI | arXiv
 
2022 | Journal Article | IST-REx-ID: 9649 | OA
Boissonnat J-D, Wintraecken M. 2022. The topological correctness of PL approximations of isomanifolds. Foundations of Computational Mathematics . 22, 967–1012.
[Published Version] View | Files available | DOI | WoS
 
2022 | Journal Article | IST-REx-ID: 10413
Dikranjan D, Giordano Bruno A, Künzi HP, Zava N, Toller D. 2022. Generalized quasi-metric semilattices. Topology and its Applications. 309, 107916.
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2022 | Journal Article | IST-REx-ID: 10773 | OA
Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. 2022. Continuous and discrete radius functions on Voronoi tessellations and Delaunay mosaics. Discrete and Computational Geometry. 67, 811–842.
[Published Version] View | Files available | DOI | WoS
 
2022 | Conference Paper | IST-REx-ID: 10828 | OA
Heiss T, Tymochko S, Story B, Garin A, Bui H, Bleile B, Robins V. 2022. The impact of changes in resolution on the persistent homology of images. 2021 IEEE International Conference on Big Data. Big Data: International Conference on Big Data, 3824–3834.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2022 | Journal Article | IST-REx-ID: 11545 | OA
Brown A, Romanov A. 2022. Contravariant pairings between standard Whittaker modules and Verma modules. Journal of Algebra. 609(11), 145–179.
[Published Version] View | Files available | DOI | WoS
 
2022 | Journal Article | IST-REx-ID: 10754 | OA
Chang Y, Funk M, Roy S, Stephenson ER, Choi S, Kojouharov HV, Chen B, Pan Z. 2022. Developing a mathematical model of intracellular Calcium dynamics for evaluating combined anticancer effects of afatinib and RP4010 in esophageal cancer. International Journal of Molecular Sciences. 23(3), 1763.
[Published Version] View | Files available | DOI | WoS
 
2022 | Journal Article | IST-REx-ID: 7791 | OA
Akopyan A, Karasev R. 2022. When different norms lead to same billiard trajectories? European Journal of Mathematics. 8(4), 1309–1312.
[Published Version] View | Files available | DOI | arXiv
 
2022 | Journal Article | IST-REx-ID: 11660 | OA
Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. A window to the persistence of 1D maps. I: Geometric characterization of critical point pairs. LIPIcs.
[Submitted Version] View | Files available
 
2022 | Journal Article | IST-REx-ID: 11658 | OA
Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. Depth in arrangements: Dehn–Sommerville–Euler relations with applications. Leibniz International Proceedings on Mathematics.
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2022 | Preprint | IST-REx-ID: 15090 | OA
Biswas R, Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. On the size of chromatic Delaunay mosaics. arXiv, 2212.03121.
[Preprint] View | Files available | Download Preprint (ext.) | arXiv
 
2022 | Journal Article | IST-REx-ID: 10208 | OA
Goudarzi S, Sharif M, Karimipour F. 2022. A context-aware dimension reduction framework for trajectory and health signal analyses. Journal of Ambient Intelligence and Humanized Computing. 13, 2621–2635.
[Submitted Version] View | Files available | DOI | WoS
 
2021 | Journal Article | IST-REx-ID: 10071 | OA
Adams H, Kourimska H, Heiss T, Percival S, Ziegelmeier L. 2021. How to tutorial-a-thon. Notices of the American Mathematical Society. 68(9), 1511–1514.
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2021 | Conference Paper | IST-REx-ID: 10367 | OA
Ilharco C, Shirazi A, Gopalan A, Nagrani A, Bratanič B, Bregler C, Liu C, Ferreira F, Barcik G, Ilharco G, Osang GF, Bulian J, Frank J, Smaira L, Cao Q, Marino R, Patel R, Leung T, Imbrasaite V. 2021. Recognizing multimodal entailment. 59th Annual Meeting of the Association for Computational Linguistics and the 11th International Joint Conference on Natural Language Processing, Tutorial Abstracts. ACL: Association for Computational Linguistics ; IJCNLP: International Joint Conference on Natural Language Processing, 29–30.
[Published Version] View | Files available | DOI | Download Published Version (ext.)
 
2021 | Journal Article | IST-REx-ID: 10608 | OA
Weighill T, Yamauchi T, Zava N. 2021. Coarse infinite-dimensionality of hyperspaces of finite subsets. European Journal of Mathematics.
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2021 | Conference Paper | IST-REx-ID: 9296 | OA
Aichholzer O, Arroyo Guevara AM, Masárová Z, Parada I, Perz D, Pilz A, Tkadlec J, Vogtenhuber B. 2021. On compatible matchings. 15th International Conference on Algorithms and Computation. WALCOM: Algorithms and Computation, LNCS, vol. 12635, 221–233.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2021 | Journal Article | IST-REx-ID: 9465 | OA
Edelsbrunner H, Nikitenko A, Osang GF. 2021. A step in the Delaunay mosaic of order k. Journal of Geometry. 112(1), 15.
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2021 | Conference Paper | IST-REx-ID: 9345 | OA
Edelsbrunner H, Heiss T, Kurlin V, Smith P, Wintraecken M. 2021. The density fingerprint of a periodic point set. 37th International Symposium on Computational Geometry (SoCG 2021). SoCG: Symposium on Computational Geometry, LIPIcs, vol. 189, 32:1-32:16.
[Published Version] View | Files available | DOI
 
2021 | Conference Paper | IST-REx-ID: 9604 | OA
Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. 2021. Counting cells of order-k voronoi tessellations in ℝ3 with morse theory. Leibniz International Proceedings in Informatics. SoCG: International Symposium on Computational Geometry, LIPIcs, vol. 189, 16.
[Published Version] View | Files available | DOI
 
2021 | Conference Paper | IST-REx-ID: 9824
Čomić L, Zrour R, Largeteau-Skapin G, Biswas R, Andres E. 2021. Body centered cubic grid - coordinate system and discrete analytical plane definition. Discrete Geometry and Mathematical Morphology. DGMM: International Conference on Discrete Geometry and Mathematical Morphology, LNCS, vol. 12708, 152–163.
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2021 | Journal Article | IST-REx-ID: 8317 | OA
Aichholzer O, Akitaya HA, Cheung KC, Demaine ED, Demaine ML, Fekete SP, Kleist L, Kostitsyna I, Löffler M, Masárová Z, Mundilova K, Schmidt C. 2021. Folding polyominoes with holes into a cube. Computational Geometry: Theory and Applications. 93, 101700.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 

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