6 citations · 15 across the 13 of their papers we have counts for
10 papers · 1 filter
Combinatorics of `unavoidable complexes'
Marija Jelić Milutinović, Duško Jojić, Marinko Timotijević +2
The partition number of a simplicial complex is the minimum integer such that for each partition of at least on…
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…
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 -Complexes, Journal of Algebra 2001) we study th…
Measurable patterns, necklaces, and sets indiscernible by measure
Sinisa Vrecica, Rade Zivaljevic
In some recent papers the classical `splitting necklace theorem' is linked in an interesting way with a geometric `pattern avoidance problem'. We explore the topological constraint…
Chessboard complexes indomitable
S. T. Vrecica, R. T. Zivaljevic
We give an alternative proof of the striking new Tverberg type theorem of Blagojevic and Ziegler, arXiv:0910.4987v1 [math.CO]. Our method also yields some new cases of "constrained…
Fulton-MacPherson compactification, cyclohedra, and the polygonal pegs problem
Sinisa Vrecica, Rade Zivaljevic
The cyclohedron (Bott-Taubes polytope) arises both as the polyhedral realization of the poset of all cyclic bracketings of a circular word and as an essential part of the Fulton-Ma…
Equipartitions of a Mass in Boxes
Sinisa Vrecica
The aim of this paper is to provide the sufficient condition for a mass distribution in R^d to admit an equipartition with a collection of hyperplanes some of which are parallel. T…
On Perles' question
Sinisa T. Vrecica
The principal aim of this paper is to determine the minimal dimension that a nerve of the cover of the sphere S^h by the open sets not containing a pair of antipodal points could h…
Topology and Combinatorics of Partitions of Masses by Hyperplanes
Peter Mani-Levitska, Sinisa Vrecica, Rade Zivaljevic
One of our result is that 5 measurable sets in always admit an equipartition by 2 hyperplanes. This is an instance of a general equipartition problem (formulated by B. Gr{\"…
On Tverberg's conjecture
Sinisa T. Vrecica
In 1989 H. Tverberg proposed a quite general conjecture in Discrete geometry, which could be considered as the common basis for many results in Combinatorial geometry and at the sa…