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283 Publications
2018 | Published | Conference Paper | IST-REx-ID: 187 | 
The multi-cover persistence of Euclidean balls
H. Edelsbrunner, G.F. Osang, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018.
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H. Edelsbrunner, G.F. Osang, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018.
2017 | Published | Journal Article | IST-REx-ID: 481 |
Planar matchings for weighted straight skeletons
T. Biedl, S. Huber, P. Palfrader, International Journal of Computational Geometry and Applications 26 (2017) 211–229.
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T. Biedl, S. Huber, P. Palfrader, International Journal of Computational Geometry and Applications 26 (2017) 211–229.
2017 | Published | Book Chapter | IST-REx-ID: 5803
Construction of persistent Voronoi diagram on 3D digital plane
R. Biswas, P. Bhowmick, in:, Combinatorial Image Analysis, Springer Nature, Cham, 2017, pp. 93–104.
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R. Biswas, P. Bhowmick, in:, Combinatorial Image Analysis, Springer Nature, Cham, 2017, pp. 93–104.
2017 | Published | Journal Article | IST-REx-ID: 737
A new topology on the universal path space
Z. Virk, A. Zastrow, Topology and Its Applications 231 (2017) 186–196.
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Z. Virk, A. Zastrow, Topology and Its Applications 231 (2017) 186–196.
2017 | Published | Book Chapter | IST-REx-ID: 84
Computational topology for structural molecular biology
H. Edelsbrunner, P. Koehl, in:, C. Toth, J. O’Rourke, J. Goodman (Eds.), Handbook of Discrete and Computational Geometry, Third Edition, Taylor & Francis, 2017, pp. 1709–1735.
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H. Edelsbrunner, P. Koehl, in:, C. Toth, J. O’Rourke, J. Goodman (Eds.), Handbook of Discrete and Computational Geometry, Third Edition, Taylor & Francis, 2017, pp. 1709–1735.
2017 | Published | Journal Article | IST-REx-ID: 909 |
On the lengths of curves passing through boundary points of a planar convex shape
Akopyan, Arseniy, On the lengths of curves passing through boundary points of a planar convex shape. The American Mathematical Monthly 124 (7). 2017
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Akopyan, Arseniy, On the lengths of curves passing through boundary points of a planar convex shape. The American Mathematical Monthly 124 (7). 2017
2017 | Published | Journal Article | IST-REx-ID: 1065 |
Pushdown reachability with constant treewidth
Chatterjee, Krishnendu, Pushdown reachability with constant treewidth. Information Processing Letters 122. 2017
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Chatterjee, Krishnendu, Pushdown reachability with constant treewidth. Information Processing Letters 122. 2017
2017 | Published | Journal Article | IST-REx-ID: 1433 |
Phat - Persistent homology algorithms toolbox
U. Bauer, M. Kerber, J. Reininghaus, H. Wagner, Journal of Symbolic Computation 78 (2017) 76–90.
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U. Bauer, M. Kerber, J. Reininghaus, H. Wagner, Journal of Symbolic Computation 78 (2017) 76–90.
2017 | Published | Journal Article | IST-REx-ID: 1072 |
The Morse theory of Čech and delaunay complexes
U. Bauer, H. Edelsbrunner, Transactions of the American Mathematical Society 369 (2017) 3741–3762.
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U. Bauer, H. Edelsbrunner, Transactions of the American Mathematical Society 369 (2017) 3741–3762.
2017 | Published | Conference Paper | IST-REx-ID: 836
Finding eigenvalues of self-maps with the Kronecker canonical form
M. Ethier, G. Jablonski, M. Mrozek, in:, Special Sessions in Applications of Computer Algebra, Springer, 2017, pp. 119–136.
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M. Ethier, G. Jablonski, M. Mrozek, in:, Special Sessions in Applications of Computer Algebra, Springer, 2017, pp. 119–136.
2017 | Published | Thesis | IST-REx-ID: 6287 |
Discrete Morse theory for random complexes
A. Nikitenko, Discrete Morse Theory for Random Complexes , Institute of Science and Technology Austria, 2017.
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A. Nikitenko, Discrete Morse Theory for Random Complexes , Institute of Science and Technology Austria, 2017.
2017 | Published | Journal Article | IST-REx-ID: 718 |
Expected sizes of poisson Delaunay mosaics and their discrete Morse functions
Edelsbrunner, Herbert, Expected sizes of poisson Delaunay mosaics and their discrete Morse functions. Advances in Applied Probability 49 (3). 2017
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Edelsbrunner, Herbert, Expected sizes of poisson Delaunay mosaics and their discrete Morse functions. Advances in Applied Probability 49 (3). 2017
2017 | Published | Conference Paper | IST-REx-ID: 688 |
Topological data analysis with Bregman divergences
Edelsbrunner, Herbert, Topological data analysis with Bregman divergences. 77. 2017
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Edelsbrunner, Herbert, Topological data analysis with Bregman divergences. 77. 2017
2017 | Published | Journal Article | IST-REx-ID: 1022 |
The topology of the cosmic web in terms of persistent Betti numbers
P. Pranav, H. Edelsbrunner, R. Van De Weygaert, G. Vegter, M. Kerber, B. Jones, M. Wintraecken, Monthly Notices of the Royal Astronomical Society 465 (2017) 4281–4310.
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P. Pranav, H. Edelsbrunner, R. Van De Weygaert, G. Vegter, M. Kerber, B. Jones, M. Wintraecken, Monthly Notices of the Royal Astronomical Society 465 (2017) 4281–4310.
2017 | Published | Journal Article | IST-REx-ID: 1173 |
The Voronoi functional is maximized by the Delaunay triangulation in the plane
H. Edelsbrunner, A. Glazyrin, O. Musin, A. Nikitenko, Combinatorica 37 (2017) 887–910.
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H. Edelsbrunner, A. Glazyrin, O. Musin, A. Nikitenko, Combinatorica 37 (2017) 887–910.
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: 521 |
Higson compactification and dimension raising
K. Austin, Z. Virk, Topology and Its Applications 215 (2017) 45–57.
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K. Austin, Z. Virk, Topology and Its Applications 215 (2017) 45–57.
2017 | Published | Conference Paper | IST-REx-ID: 833 |
Streaming algorithm for Euler characteristic curves of multidimensional images
T. Heiss, H. Wagner, in:, M. Felsberg, A. Heyden, N. Krüger (Eds.), Springer, 2017, pp. 397–409.
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T. Heiss, H. Wagner, in:, M. Felsberg, A. Heyden, N. Krüger (Eds.), Springer, 2017, pp. 397–409.
2017 | Published | Journal Article | IST-REx-ID: 1180 |
Algebraic vertices of non-convex polyhedra
A. Akopyan, I. Bárány, S. Robins, Advances in Mathematics 308 (2017) 627–644.
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A. Akopyan, I. Bárány, S. Robins, Advances in Mathematics 308 (2017) 627–644.
2017 | Published | Journal Article | IST-REx-ID: 707 |
A tight estimate for the waist of the ball
A. Akopyan, R. Karasev, Bulletin of the London Mathematical Society 49 (2017) 690–693.
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A. Akopyan, R. Karasev, Bulletin of the London Mathematical Society 49 (2017) 690–693.