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

Katsuhiro Ota, Kenta Ozeki

Research output: Contribution to journal › Article

4 Citations (Scopus)

Abstract

In this paper, we show that for any even integer t≥4, every 3-connected graph with no K 3,t-minor has a spanning tree whose maximum degree is at most t-1. This result is a common generalization of the result by Barnette (1966) [1] and the one by Chen, Egawa, Kawarabayashi, Mohar, and Ota (2011) [4].

Original languageEnglish
Pages (from-to)1179-1188
Number of pages10
JournalJournal of Combinatorial Theory. Series B
Volume102
Issue number5
DOIs
Publication statusPublished - 2012 Sep

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Spanning tree
Minor
Graph in graph theory
Maximum Degree
Connected graph
Integer
Generalization

Keywords

  • Graphs on a surface
  • K -minor-free graphs
  • Spanning trees

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Theoretical Computer Science
  • Computational Theory and Mathematics

Cite this

Spanning trees in 3-connected K 3,t-minor-free graphs. / Ota, Katsuhiro; Ozeki, Kenta.

In: Journal of Combinatorial Theory. Series B, Vol. 102, No. 5, 09.2012, p. 1179-1188.

Research output: Contribution to journal › Article

Ota, K & Ozeki, K 2012, 'Spanning trees in 3-connected K 3,t-minor-free graphs', Journal of Combinatorial Theory. Series B, vol. 102, no. 5, pp. 1179-1188. https://doi.org/10.1016/j.jctb.2012.07.002
Ota K, Ozeki K. Spanning trees in 3-connected K 3,t-minor-free graphs. Journal of Combinatorial Theory. Series B. 2012 Sep;102(5):1179-1188. https://doi.org/10.1016/j.jctb.2012.07.002
Ota, Katsuhiro ; Ozeki, Kenta. / Spanning trees in 3-connected K 3,t-minor-free graphs. In: Journal of Combinatorial Theory. Series B. 2012 ; Vol. 102, No. 5. pp. 1179-1188.
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