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20022023
most citedGroupoids in combinatorics -- applications of a theory of local symmetries

6 citations · 34 across the 28 of their papers we have counts for

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math.MG2020

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…

math.MG2020

Generalized Tonnetz and discrete Abel-Jacobi map

Filip D. Jevtić, Rade T. Živaljević

Motivated by classical Euler's , we introduce and study the combinatorics and topology of more general simplicial complexes of "Tonnetz type". Out main res…

math.MG2018

Polytopal Bier spheres and Kantorovich-Rubinstein polytopes of weighted cycles

Filip D. Jevtić, Marinko Timotijević, Rade T. Živaljević

The problem of deciding if a given triangulation of a sphere can be realized as the boundary sphere of a simplicial, convex polytope is known as the "Simplicial Steinitz problem".…

math.MG2015

Hyperplane mass equipartition problem and the shielding functions of Ramos

Siniša T. Vrećica, Rade T. Živaljević

We give a proof of the result of Edgar Ramos which claims that two finite, continuous Borel measures and defined on admit an equipartition by a collectio…

math.MG2014

Colorful versions of the Lebesgue, KKM, and Hex theorem

Djordje Baralić, Rade Živaljević

Following and developing ideas of R. Karasev (Covering dimension using toric varieties, arXiv:1307.3437), we extend the Lebesgue theorem (on covers of cubes) and the Knaster-Kurato…

math.MG2012

Rotation number of a unimodular cycle: an elementary approach

Rade T. Zivaljevic

We give an elementary proof of a formula expressing the rotation number of a cyclic unimodular sequence of lattice vectors in terms of arithmetically defined local quantities. The…