11 citations · 27 across the 8 of their papers we have counts for
8 papers
Paths of homomorphisms from stable Kneser graphs
Carsten Schultz
We denote by SG_{n,k} the stable Kneser graph (Schrijver graph) of stable n-subsets of a set of cardinality 2n+k. For k congruent 3 (mod 4) and n\ge2 we show that there is a compon…
The equivariant topology of stable Kneser graphs
Carsten Schultz
The stable Kneser graph , , , introduced by Schrijver \cite{schrijver}, is a vertex critical graph with chromatic number , its vertices are certain sub…
Topology of Hom complexes and test graphs for bounding chromatic number
Anton Dochtermann, Carsten Schultz
We introduce new methods for understanding the topology of $\Hom$ complexes (spaces of homomorphisms between two graphs), mostly in the context of group actions on graphs and poset…
Combinatorial Stokes formulas via minimal resolutions
Bernhard Hanke, Raman Sanyal, Carsten Schultz +1
We describe an explicit chain map from the standard resolution to the minimal resolution for the finite cyclic group Z_k of order k. We then demonstrate how such a chain map induce…
Graph colourings, spaces of edges and spaces of circuits
Carsten Schultz
By Lovasz' proof of the Kneser conjecture, the chromatic number of a graph G is bounded from below by the index of the Z_2-space Hom(K_2,G) plus two. We show that the cohomological…
Small models of graph colouring manifolds and the Stiefel manifolds Hom(C_5, K_n)
Carsten Schultz
We show Péter Csorba's conjecture that the graph homomorphism complex Hom(C_5,K_{n+2}) is homeomorphic to a Stiefel manifold, the space of unit tangent vectors to the n-dimensional…