Edge proximity and matching extension in punctured planar triangulations

R. E.L. Aldred, Jun Fujisawa, Akira Saito

研究成果: Article査読

1 被引用数 (Scopus)

抄録

A matching M in a graph G is said to be extendable if there exists a perfect matching of G containing M. In 1989, it was shown that every connected planar graph with at least 8 vertices has a matching of size three which is not extendable. In contrast, the study of extending certain matchings of size three or more has made progress in the past decade when the given graph is 5-connected planar triangulation or 5-connected plane graphs with few non-triangular faces. In this paper, we prove that if G is a 5-connected plane graph of even order in which at most two faces are not triangular and M is a matching of size four in which the edges lie pairwise distance at least three apart, then M is extendable. A related result concerning perfect matching with proscribed edges is shown as well.

本文言語English
ページ(範囲)2978-2985
ページ数8
ジャーナルDiscrete Mathematics
340
12
DOI
出版ステータスPublished - 2017 12

ASJC Scopus subject areas

  • 理論的コンピュータサイエンス
  • 離散数学と組合せ数学

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