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Michal Lipinski

Yossi Bokor Bleile

Irene Pisapia

Nicolò Zava

Herbert Edelsbrunner

Chris Fillmore

Bei Wang

Manuel Soriano Trigueros

Farid Karimipour

Adam Brown

Mathijs Wintraecken

Florian Pausinger

Pach, János

Teresa Heiss

Grzegorz Jablonski

Jan Reininghaus

Paul Bendich

Hana Dal Poz Kourimska

Sebastiano Cultrera di Montesano

Hubert Wagner

Marek Krcál

Elizabeth Stephenson

Salman Parsa

Florestan Brunck

Arseniy Akopyan

Pawel Pilarczyk

Ondrej Draganov

Ulrich Bauer

Mabel Iglesias Ham

Katharina Ölsböck

Amit Patel

Morteza Saghafian

Chao Chen

Adrian Ion

Georg Osang

Ranita Biswas

Stefan Huber

Ziga Virk

Mirko Klukas

Anton Nikitenko

Michael Kerber



307 Publications

2018 | Published | Journal Article | IST-REx-ID: 106 | OA
Long geodesics on convex surfaces
A. Akopyan, A. Petrunin, Mathematical Intelligencer 40 (2018) 26–31.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2018 | Published | Journal Article | IST-REx-ID: 1064 | OA
On the circle covering theorem by A.W. Goodman and R.E. Goodman
A. Akopyan, A. Balitskiy, M. Grigorev, Discrete & Computational Geometry 59 (2018) 1001–1009.
[Published Version] View | Files available | DOI | WoS
 
2018 | Published | Journal Article | IST-REx-ID: 87 | OA
Random inscribed polytopes have similar radius functions as Poisson-Delaunay mosaics
H. Edelsbrunner, A. Nikitenko, Annals of Applied Probability 28 (2018) 3215–3238.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
2018 | Published | Journal Article | IST-REx-ID: 530 | OA
Multiple covers with balls I: Inclusion–exclusion
H. Edelsbrunner, M. Iglesias Ham, Computational Geometry: Theory and Applications 68 (2018) 119–133.
[Preprint] View | Files available | DOI | WoS
 
2018 | Published | Journal Article | IST-REx-ID: 58 | OA
Counting blanks in polygonal arrangements
A. Akopyan, E. Segal Halevi, SIAM Journal on Discrete Mathematics 32 (2018) 2242–2257.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2018 | Published | Journal Article | IST-REx-ID: 6355 | OA
Any cyclic quadrilateral can be inscribed in any closed convex smooth curve
A. Akopyan, S. Avvakumov, Forum of Mathematics, Sigma 6 (2018).
[Published Version] View | Files available | DOI | WoS | arXiv
 
2018 | Published | Journal Article | IST-REx-ID: 692 | OA
3-Webs generated by confocal conics and circles
A. Akopyan, Geometriae Dedicata 194 (2018) 55–64.
[Published Version] View | Files available | DOI | WoS
 
2018 | Published | Preprint | IST-REx-ID: 75 | OA
Convex fair partitions into arbitrary number of pieces
A. Akopyan, S. Avvakumov, R. Karasev, (2018).
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2018 | Published | Journal Article | IST-REx-ID: 409 | OA
On the number of non-hexagons in a planar tiling
A. Akopyan, Comptes Rendus Mathematique 356 (2018) 412–414.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2018 | Published | Journal Article | IST-REx-ID: 458 | OA
Incircular nets and confocal conics
A. Akopyan, A. Bobenko, Transactions of the American Mathematical Society 370 (2018) 2825–2854.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2017 | Published | Journal Article | IST-REx-ID: 1173 | OA
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.
[Submitted Version] View | DOI | Download Submitted Version (ext.) | WoS | arXiv
 
2017 | Published | Journal Article | IST-REx-ID: 1180 | OA
Algebraic vertices of non-convex polyhedra
A. Akopyan, I. Bárány, S. Robins, Advances in Mathematics 308 (2017) 627–644.
[Submitted Version] View | DOI | Download Submitted Version (ext.) | WoS | arXiv
 
2017 | Published | Journal Article | IST-REx-ID: 1433 | OA
Phat - Persistent homology algorithms toolbox
U. Bauer, M. Kerber, J. Reininghaus, H. Wagner, Journal of Symbolic Computation 78 (2017) 76–90.
[Published Version] View | Files available | DOI | Download Published Version (ext.) | WoS
 
2017 | Published | Journal Article | IST-REx-ID: 1065 | OA
Pushdown reachability with constant treewidth
K. Chatterjee, G.F. Osang, Information Processing Letters 122 (2017) 25–29.
[Submitted Version] View | Files available | DOI | WoS
 
2017 | Published | Journal Article | IST-REx-ID: 1072 | OA
The Morse theory of Čech and delaunay complexes
U. Bauer, H. Edelsbrunner, Transactions of the American Mathematical Society 369 (2017) 3741–3762.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2017 | Published | Journal Article | IST-REx-ID: 1022 | OA
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.
[Submitted Version] View | DOI | Download Submitted Version (ext.) | WoS | arXiv
 
2017 | Published | Conference Paper | IST-REx-ID: 833 | OA
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.
[Submitted Version] View | DOI | Download Submitted Version (ext.) | WoS | arXiv
 
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.
View | DOI | WoS
 
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.
View | DOI
 
2017 | Published | Journal Article | IST-REx-ID: 909 | OA
On the lengths of curves passing through boundary points of a planar convex shape
A. Akopyan, V. Vysotsky, The American Mathematical Monthly 124 (2017) 588–596.
[Submitted Version] View | DOI | Download Submitted Version (ext.) | WoS | arXiv
 

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