A class of edge critical 4-chromatic graphs

Guantao Chen, Paul Erdos, András Gyárfás, R. H. Schelp

Research output: Contribution to journalArticle

2 Citations (Scopus)


We consider several constructions of edge critical 4-chromatic graphs which can be written as the union of a bipartite graph and a matching. In particular we construct such a graph G with each of the following properties: G can be contracted to a given critical 4-chromatic graph; for each n ≥ 7, G has n vertices and three matching edges (it is also shown that such graphs must have at least 8n/5 edges); G has arbitrary large girth.

Original languageEnglish
Pages (from-to)139-146
Number of pages8
JournalGraphs and Combinatorics
Issue number2
Publication statusPublished - Jan 1 1997

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

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