AA
Andrii Arman
math.COmath.MGcs.DSmath.PRcs.DM
On Valency
published · living versionsW_q2taaj8g·v1 · currentpublished
Borsuk number in four dimensions is at most seven
with Andriy Bondarenko, Andriy Prymak, Danylo Radchenko
1 version
Preprints & journals
23 papers in the corpus · 2016–2026On Grünbaum's problem for symmetric configurations2607.22032v1 · Andrii Arman, Andriy Bondarenko, Andriy Prymak et al.2026 · 0 citationsarXiv
A construction of spherical -designs with points2606.01376v1 · Andrii Arman, Andriy Bondarenko, Andriy Prymak et al.2026 · 0 citationsarXiv
On asymptotic Lebesgue's universal covering problem2512.04023v2 · Andrii Arman, Andriy Bondarenko, Andriy Prymak et al.2025 · 0 citationsBull. London Math. Soc. 58 (2026), no. 10, e70514
Hadwiger's conjecture for cap bodies2510.25968v3 · Andrii Arman, Jaskaran Singh Kaire, Andriy Prymak2025 · 0 citationsarXiv
Illumination number of 3-dimensional cap bodies2507.08712v2 · Andrii Arman, Jaskaran Singh Kaire, Andriy Prymak2025 · 0 citationsarXiv
On a Gallai-type problem and illumination of spiky balls and cap bodies2408.01341v1 · Andrii Arman, Andriy Bondarenko, Andriy Prymak et al.2024 · 1 citationarXiv
Small Volume Bodies of Constant Width with Tetrahedral Symmetries2406.18428v2 · Andrii Arman, Andriy Bondarenko, Andriy Prymak et al.2024 · 0 citationsSIGMA 21 (2025), 109, 8 pages
Minimal dispersion on the cube and the torus2406.02757v1 · Andrii Arman, Alexander E. Litvak2024 · 2 citationsarXiv
On Hadwiger's covering problem in small dimensions2404.00547v1 · Andrii Arman, Andriy Bondarenko, Andriy Prymak2024 · 2 citationsarXiv
Convex bodies of constant width with exponential illumination number2304.10418v3 · Andrii Arman, Andriy Bondarenko, Andriy Prymak2023 · 1 citationarXiv
Upper bounds on chromatic number of in low dimensions2112.13438v2 · Andrii Arman, Andriy V. Bondarenko, Andriy Prymak et al.2021 · 1 citationElectron. J. Combin., 31(2) (2024), #P2.35
Every Steiner triple system contains an almost spanning d-ary hypertree2105.10969v2 · Andrii Arman, Vojtech Rodl, Marcelo Tadeu Sales2021 · 0 citationsarXiv
Independent sets in subgraphs of a shift graph2105.10971v2 · Andrii Arman, Vojtech Rodl, Marcelo Tadeu Sales2021 · 1 citationarXiv
Linear-time uniform generation of random sparse contingency tables with specified marginals2104.09413v2 · Andrii Arman, Pu Gao, Nicholas Wormald2021 · 0 citationsarXiv
Colourful matchings2102.09633v1 · Andrii Arman, Vojtech Rodl, Marcelo Tadeu Sales2021 · 2 citationsarXiv
Fast uniform generation of random graphs with given degree sequences1905.03446v4 · Andrii Arman, Pu Gao, Nicholas Wormald2019 · 30 citationsarXiv
Increasing paths in countable graphs1905.03612v1 · Andrii Arman, Bradley Elliott, Vojtech Rodl2019 · 1 citationarXiv
Properties of the Fibonacci-sum graph1710.10303v1 · Andrii Arman, David S. Gunderson, Pak Ching Li2017 · 5 citationsarXiv
Equally spaced collinear points in Euclidean Ramsey theory1705.04640v2 · Andrii Arman, Sergei Tsaturian2017 · 2 citationsarXiv
A result in asymmetric Euclidean Ramsey theory1702.04799v1 · Andrii Arman, Sergei Tsaturian2017 · 6 citationsarXiv
The maximum number of cycles in a graph with fixed number of edges1702.02662v2 · Andrii Arman, Sergei Tsaturian2017 · 6 citationsarXiv
Note on Ramsey theorem for posets with linear extensions1608.05290v1 · Andrii Arman, Vojtech Rodl2016 · 3 citationsarXiv
An upper bound for the size of a -uniform intersecting family with covering number 1604.04686v1 · Andrii Arman, Troy Retter2016 · 13 citationsarXiv
Career total: 30 works. 23 are in this corpus.
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