3 citations · 7 across the 12 of their papers we have counts for
10 papers · 1 filter
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…
Oriented matroids and Ky Fan's theorem
Rade T. Zivaljevic
L. Lovasz has shown that Sperner's combinatorial lemma admits a generalization involving a matroid defined on the set of vertices of the associated triangulation. Inspired by this…
The Borsuk-Ulam-property, Tucker-property and constructive proofs in combinatorics
Mark de Longueville, Rade T. Zivaljevic
This article is concerned with a general scheme on how to obtain constructive proofs for combinatorial theorems that have topological proofs so far. To this end the combinatorial c…
Parallel transport of -complexes and the Lovasz conjecture
Rade T. Zivaljevic
The groupoid of projectivities, introduced by M. Joswig, serves as a basis for a construction of parallel transport of graph and more general -complexes. In this framework we…
Equipartitions of measures in
Rade T. Zivaljevic
We prove that each measure in admits an equipartition by 4 hyperplanes, provided that it is symmetric with respect to a 2-dimensional, affine subspace of . Moreo…
WI-posets, graph complexes and Z_2-equivalences
Rade T. Zivaljevic
We introduce WI-posets as intermediate objects in the study of Z_2-homotopy types of graph complexes. It turns out that (almost) all graph complexes associated to a graph can be vi…