English

A Generalization of Gale's lemma

Combinatorics 2016-08-01 v1

Abstract

In this work, we present a generalization of Gale's lemma. Using this generalization, we introduce two combinatorial sharp lower bounds for conid(B0(G))+1{\rm conid}({\rm B}_0(G))+1 and conid(B(G))+2{\rm conid}({\rm B}(G))+2, two famous topological lower bounds for the chromatic number of a graph GG.

Keywords

Cite

@article{arxiv.1607.08780,
  title  = {A Generalization of Gale's lemma},
  author = {Meysam Alishahi and Hossein Hajiabolhassan},
  journal= {arXiv preprint arXiv:1607.08780},
  year   = {2016}
}
R2 v1 2026-06-22T15:07:40.809Z