6 citations · 9 across the 8 of their papers we have counts for
14 papers
Envy-free division via configuration spaces
Gaiane Panina, Rade Živaljević
The classical approach to envy-free division and equilibrium problems relies on Knaster-Kuratowski-Mazurkiewicz theorem, Sperner's lemma or some extension involving mapping degree.…
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…
Splitting necklaces, with constraints
Duško Jojić, Gaiane Panina, Rade Živaljević
We prove several versions of N. Alon's "necklace-splitting theorem", subject to additional constraints, as illustrated by the following results. (1) The "almost equicardinal neckla…
A universality theorem for stressable graphs in the plane
Gaiane Panina
Universality theorems (in the sense of N. Mnëv) claim that the realization space of a combinatorial object (a point configuration, a hyperplane arrangement, a convex polytope, etc.…
A Tverberg type theorem for collectively unavoidable complexes
Duško Jojić, Gaiane Panina, Rade Živaljević
We prove (Theorem 2.4) that the symmetrized deleted join of a "balanced family" of collectively -unavoidabl…