English

Graphs whose Kronecker covers are bipartite Kneser graphs

Combinatorics 2020-12-08 v2

Abstract

We show that there are kk simple graphs whose Kronecker covers are isomorphic to the bipartite Kneser graph H(n,k)H(n,k), and that their chromatic numbers coincide with χ(K(n,k))=n2k+2\chi(K(n,k)) = n - 2k + 2. We also determine the automorphism groups of these graphs.

Keywords

Cite

@article{arxiv.2008.09051,
  title  = {Graphs whose Kronecker covers are bipartite Kneser graphs},
  author = {Takahiro Matsushita},
  journal= {arXiv preprint arXiv:2008.09051},
  year   = {2020}
}

Comments

9 pages. Introduction was rewritten, to appear in Discrete Mathematics

R2 v1 2026-06-23T17:59:43.643Z