On Ks,t minors in (s+t)-chromatic graphs

Research output: Contribution to journalArticlepeer-review

Abstract

Let K*s, t denote the graph obtained from the complete graph K s+t by deleting the edges of some Kt-subgraph. We prove that for each fixed s and sufficiently large t, every graph with chromatic number s+t has a K*s, t minor.

Original languageEnglish (US)
Pages (from-to)343-350
Number of pages8
JournalJournal of Graph Theory
Volume65
Issue number4
DOIs
StatePublished - Dec 2010

Keywords

  • complete bipartite graphs
  • graph coloring
  • graph minors

ASJC Scopus subject areas

  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

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