7 citations · 42 across the 33 of their papers we have counts for
4 papers · 1 filter
Equilibrium stressability of multidimensional frameworks
Oleg Karpenkov, Christian Müller, Gaiane Panina +3
We prove an equilibrium stressability criterium for trivalent multidimensional tensegrities. The criterium appears in different languages: (1) in terms of stress monodromies, (2) i…
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…
Area-perimeter duality in polygon spaces
Giorgi Khimshiashvili, Gaiane Panina, Dirk Siersma
Two natural foliations, guided by area and perimeter, of the configurations spaces of planar polygons are considered and the topology of their leaves is investigated in some detail…