English

Closed-form expansions for the bivariate chromatic polynomial of paths and cycles

Combinatorics 2012-01-19 v1

Abstract

We establish closed-form expansions for the number of colorings of a path or cycle on n vertices with colors from 1,...,x such that adjacent vertices are colored differently or with colors from y+1,...x.

Keywords

Cite

@article{arxiv.1201.3886,
  title  = {Closed-form expansions for the bivariate chromatic polynomial of paths and cycles},
  author = {Klaus Dohmen},
  journal= {arXiv preprint arXiv:1201.3886},
  year   = {2012}
}

Comments

4 pages