6 citations · 9 across the 9 of their papers we have counts for
5 papers · 1 filter
Concurrent normals problem for convex polytopes and Euclidean distance degree
Ivan Nasonov, Gaiane Panina, Dirk Siersma
It is conjectured since long that for any convex body there exists a point in its interior which belongs to at least normals from different points on t…
Optimal colored Tverberg theorems for prime powers
Duško Jojić, Gaiane Panina, Rade T. Živaljević
The type A colored Tverberg theorem of Blagojević, Matschke, and Ziegler provides optimal bounds for the colored Tverberg problem, under the condition that the number of intersecti…
Generalized chessboard complexes and discrete Morse theory
Duško Jojić, Gaiane Panina, Siniša T. Vrećica +1
Chessboard complexes and their generalizations, as objects, and Discrete Morse theory, as a tool, are presented as a unifying theme linking different areas of geometry, topology, a…
Volume and lattice points counting for the cyclopermutohedron
Ilya Nekrasov, Gaiane Panina
The face lattice of the permutohedron realizes the combinatorics of linearly ordered partitions of the set . Similarly, the cyclopermutohedron is a virtual polytop…
Planar pseudo-triangulations, spherical pseudo-tilings and hyperbolic virtual polytopes
Gaiane Panina
We wish to draw attention to an interesting and promising interaction of two theories. On the one hand, it is the theory of \textbf{pseudo-triangulations} which was useful for impl…