3 citations · 6 across the 7 of their papers we have counts for
7 papers
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…
Symmetric products of surfaces; a unifying theme for topology and physics
Pavle Blagojevic, Vladimir Grujic, Rade Zivaljevic
This is a review paper about symmetric products of spaces . We focus our attention on the symmetric products of 2-manifolds and make a journey through selected t…
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…
Computational Topology of Equivariant Maps from Spheres to Complements of Arrangements
Pavle V. M. Blagojevic, Sinisa T. Vrecica, Rade T. Zivaljevic
We use a well known problem in discrete and computational geometry (partitions of measures by -fans) as a motivation and as a point of departure to illustrate many aspects, both…