Spanning trees in 3-connected K3,t-minor-free graphs

Katsuhiro Ota, Kenta Ozeki

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Barnette proved that every 3-connected planar graph has a 3-tree, where a 3-tree is a spanning tree whose maximum degree is at most three. In this paper, we consider an improvement of Barnette's result for the direction of K3, t-minor-free graphs. Note that any planar graph is K3, 3-minor-free. Actually, we show that for an even integer t ≥ 3, any 3-connected K3, t -minor-free graph has a (t - 1)-tree.

Original languageEnglish
Pages (from-to)145-149
Number of pages5
JournalElectronic Notes in Discrete Mathematics
Volume34
DOIs
Publication statusPublished - 2009 Aug 1

Keywords

  • K-minor-free graphs
  • Planar graphs
  • Spanning tree

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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