Star number and star arboricity of a complete multigraph

Chiang Lin, Tay Woei Shyu

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Let G be a multigraph. The star number s(G) of G is the minimum number of stars needed to decompose the edges of G. The star arboricity sa(G) of G is the minimum number of star forests needed to decompose the edges of G. As usual λK n denote the λ-fold complete graph on n vertices (i.e., the multigraph on n vertices such that there are λ edges between every pair of vertices). In this paper, we prove that for n ≥ 2 Equation presented.

Original languageEnglish
Pages (from-to)961-967
Number of pages7
JournalCzechoslovak Mathematical Journal
Volume56
Issue number3
DOIs
Publication statusPublished - 2006 Sep 1
Externally publishedYes

Keywords

  • Complete multigraph
  • Decomposition
  • Star arboricity
  • Star forest

ASJC Scopus subject areas

  • Mathematics(all)

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