Vertex colorings of simplicial complexes

Details Vertex colorings of simplicial complexes Vertex colorings of simplicial complexes

2010-07-05

arxiv.org/abs/1007.0710v1

Mathematics

Algebraic Topology

Scientific paper

We define an (r,s)-coloring of an abstract simplicial complex to be a coloring using r colors of the vertices so that in any simplex at most s vertices have the same color. We translate the problem of finding an (r,s)-coloring of a given simplex to a topological problem and to a ring theoretic problem. The topological version involves vector bundles over Davis--Januszkiewicz spaces and the algebraic one involves factorizations in Stanley-Reisner rings.

Affiliated with

Also associated with

No associations

Rating

Vertex colorings of simplicial complexes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Vertex colorings of simplicial complexes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vertex colorings of simplicial complexes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-595518