Forbidden subgraphs and the existence of spanning k-trees

Katsuhiro Ota; Takeshi Sugiyama

doi:10.1016/j.disc.2010.08.015

Forbidden subgraphs and the existence of spanning k-trees

Katsuhiro Ota, Takeshi Sugiyama

Department of Mathematics

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

1 Citation (Scopus)

Abstract

A k-tree of a graph is a subtree with maximum degree at most k. Though forbidden subgraphs are a major tool to find a hamiltonian cycle or a hamiltonian path, there are only a few results using the condition on forbidden subgraphs to find a spanning k-tree for k<3. In this paper, we give a sufficient condition using the condition on forbidden subgraphs for a graph G to have a spanning k-tree.

Original language	English
Pages (from-to)	3506-3511
Number of pages	6
Journal	Discrete Mathematics
Volume	310
Issue number	24
DOIs	https://doi.org/10.1016/j.disc.2010.08.015
Publication status	Published - 2010 Dec 28

Keywords

Forbidden subgraph
k-tree

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/j.disc.2010.08.015

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AB - A k-tree of a graph is a subtree with maximum degree at most k. Though forbidden subgraphs are a major tool to find a hamiltonian cycle or a hamiltonian path, there are only a few results using the condition on forbidden subgraphs to find a spanning k-tree for k<3. In this paper, we give a sufficient condition using the condition on forbidden subgraphs for a graph G to have a spanning k-tree.

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KW - k-tree

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Forbidden subgraphs and the existence of spanning k-trees

Abstract

Keywords

ASJC Scopus subject areas

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