27 citations · 70 across the 17 of their papers we have counts for
4 papers · 1 filter
Trends in Topological Combinatorics
Dmitry N. Kozlov
This thesis opens with an introductory discussion, where the reader is gently led to the world of topological combinatorics, and, where the results of this Habilitationsschrift are…
Cohomology of colorings of cycles
Dmitry N. Kozlov
We compute the cohomology groups of the spaces of colorings of cycles, i.e., of the prodsimplicial complexes Hom(C_m,K_n). We perform the computation first with Z_2, and then with…
Chromatic numbers, morphism complexes, and Stiefel-Whitney characteristic classes
Dmitry N. Kozlov
Combinatorics, in particular graph theory, has a rich history of being a domain of successful applications of tools from other areas of mathematics, including topological methods.…
Simple homotopy types of Hom-complexes, neighborhood complexes, Lovász complexes, and atom crosscut complexes
Dmitry N. Kozlov
In this paper we provide concrete combinatorial formal deformation algorithms, namely sequences of elementary collapses and expansions, which relate various previously extensively…