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math.COAug 20, 2013
authors
  • Andrzej Grzesik
  • Hrant Khachatrian
arXiv abstractPDF
paper

Interval edge-colorings of K_{1,m,n}

arXiv:1308.4431

Abstract

In this note we prove that K_{1,m,n} is interval edge-colorable if and only if gcd(m+1,n+1)=1. It settles in the affirmative a conjecture of Petrosyan.

6 pages, 2 figures. arXiv admin note: text overlap with arXiv:1303.1039 by other authors

References in corpus (3)

  • Interval colorings of edges of a multigraph
  • Interval colorings of complete bipartite graphs and trees
  • Interval colorings of complete balanced multipartite graphs
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