S. Vrecica

activity

20022020

most citedTopology of unavoidable complexes

6 citations · 15 across the 13 of their papers we have counts for

collaborators

16 papers

cs.AI2020★ 1 cited

Topologically sensitive metaheuristics

Aleksandar Kartelj, Vladimir Filipović, Siniša Vrećica +1

This paper proposes topologically sensitive metaheuristics, and describes conceptual design of topologically sensitive Variable Neighborhood Search method (TVNS) and topologically…

math.CO2016

Combinatorics of `unavoidable complexes'

Marija Jelić Milutinović, Duško Jojić, Marinko Timotijević +2

The partition number $π (K)$ of a simplicial complex $K \subset 2^{[n]}$ is the minimum integer $ν$ such that for each partition $A_{1} ⊎ \dots ⊎ A_{ν} = [n]$ of $[n]$ at least on…

math.AT2016★ 6 cited

Topology of unavoidable complexes

Duško Jojić, Wacław Marzantowicz, Siniša T. Vrećica +1

The partition number $π (K)$ of a simplicial complex $K \subset 2^{[m]}$ is the minimum integer $ν$ such that for each partition $A_{1} ⊎ \dots ⊎ A_{ν} = [m]$ of $[m]$ at least on…

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 $μ_{1}$ and $μ_{2}$ defined on $R^{5}$ admit an equipartition by a collectio…

math.CO2015

Symmetric multiple chessboard complexes and a new theorem of Tverberg type

Duško Jojić, Siniša Vrećica, Rade Živaljević

We prove a new theorem of Tverberg type which confirms the conjecture of Blagojevic, Frick, and Ziegler about the existence of "balanced Tverberg partitions" (Conjecture 6.6 in, Tv…

math.CO2014

Multiple chessboard complexes and the colored Tverberg problem

Duško Jojić, Siniša T. Vrećica, Rade T. Živaljević

Following D.B. Karaguezian, V. Reiner, and M.L. Wachs (Matching Complexes, Bounded Degree Graph Complexes, and Weight Spaces of $G L$ -Complexes, Journal of Algebra 2001) we study th…