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

Katsuhiro Ota; Kenta Ozeki

doi:10.1016/j.jctb.2012.07.002

Spanning trees in 3-connected K _3,t-minor-free graphs

Katsuhiro Ota, Kenta Ozeki

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	1179-1188
Number of pages	10
Journal	Journal of Combinatorial Theory. Series B
Volume	102
Issue number	5
DOIs	https://doi.org/10.1016/j.jctb.2012.07.002
Publication status	Published - 2012 Sep

Keywords

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

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

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Cite this

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

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].",

keywords = "Graphs on a surface, K -minor-free graphs, Spanning trees",

author = "Katsuhiro Ota and Kenta Ozeki",

note = "Funding Information: E-mail addresses: ohta@math.keio.ac.jp (K. Ota), ozeki@nii.ac.jp (K. Ozeki). 1 Research partly supported by JSPS, Grant-in-Aid for Scientific Research (B). 2 Research Fellow of the Japan Society for the Promotion of Science.",

year = "2012",

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doi = "10.1016/j.jctb.2012.07.002",

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T1 - Spanning trees in 3-connected K 3,t-minor-free graphs

AU - Ota, Katsuhiro

AU - Ozeki, Kenta

N1 - Funding Information: E-mail addresses: ohta@math.keio.ac.jp (K. Ota), ozeki@nii.ac.jp (K. Ozeki). 1 Research partly supported by JSPS, Grant-in-Aid for Scientific Research (B). 2 Research Fellow of the Japan Society for the Promotion of Science.

PY - 2012/9

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N2 - 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].

AB - 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].

KW - Graphs on a surface

KW - K -minor-free graphs

KW - Spanning trees

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