Degree Conditions for Graphs to Have Spanning Trees with Few Branch Vertices and Leaves

Shun ichi Maezawa, Ryota Matsubara, Haruhide Matsuda

研究成果: Article

抄録

A leaf of a tree is a vertex of degree one and a branch vertex of a tree is a vertex of degree strictly greater than two. This paper shows two degree conditions for graphs to have spanning trees with total bounded number of branch vertices and leaves. Moreover, the sharpness of our results is shown.

元の言語English
ページ(範囲)231-238
ページ数8
ジャーナルGraphs and Combinatorics
35
発行部数1
DOI
出版物ステータスPublished - 2019 1 2

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

これを引用

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abstract = "A leaf of a tree is a vertex of degree one and a branch vertex of a tree is a vertex of degree strictly greater than two. This paper shows two degree conditions for graphs to have spanning trees with total bounded number of branch vertices and leaves. Moreover, the sharpness of our results is shown.",
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author = "Maezawa, {Shun ichi} and Ryota Matsubara and Haruhide Matsuda",
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AU - Matsubara, Ryota

AU - Matsuda, Haruhide

PY - 2019/1/2

Y1 - 2019/1/2

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KW - Fan-type degree condition

KW - Leaf

KW - Spanning tree

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