Vertex-disjoint claws in graphs

Yoshimi Egawa; Katsuhiro Ota

doi:10.1016/s0012-365x(99)90069-9

Vertex-disjoint claws in graphs

Yoshimi Egawa, Katsuhiro Ota

Department of Mathematics

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

7 Citations (Scopus)

Abstract

Let δ(G) denote the minimum degree of a graph G. We prove that a graph G of order at least 4k + 6 with δ(G) ≥ k + 2 contains k pairwise vertex-disjoint K_1,3's. The conditions on the minimum degree and on the order of the graph are best possible in a sense.

Original language	English
Pages (from-to)	225-246
Number of pages	22
Journal	Discrete Mathematics
Volume	197-198
DOIs	https://doi.org/10.1016/s0012-365x(99)90069-9
Publication status	Published - 1999 Feb 28

Keywords

Claw
Minimum degree
Vertex-disjoint subgraphs

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/s0012-365x(99)90069-9

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abstract = "Let δ(G) denote the minimum degree of a graph G. We prove that a graph G of order at least 4k + 6 with δ(G) ≥ k + 2 contains k pairwise vertex-disjoint K1,3's. The conditions on the minimum degree and on the order of the graph are best possible in a sense.",

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AU - Ota, Katsuhiro

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N2 - Let δ(G) denote the minimum degree of a graph G. We prove that a graph G of order at least 4k + 6 with δ(G) ≥ k + 2 contains k pairwise vertex-disjoint K1,3's. The conditions on the minimum degree and on the order of the graph are best possible in a sense.

AB - Let δ(G) denote the minimum degree of a graph G. We prove that a graph G of order at least 4k + 6 with δ(G) ≥ k + 2 contains k pairwise vertex-disjoint K1,3's. The conditions on the minimum degree and on the order of the graph are best possible in a sense.

KW - Claw

KW - Minimum degree

KW - Vertex-disjoint subgraphs

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JO - Discrete Mathematics

JF - Discrete Mathematics

SN - 0012-365X

ER -

Vertex-disjoint claws in graphs

Abstract

Keywords

ASJC Scopus subject areas

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