Edge Proximity Conditions for Extendability in Planar Triangulations

Jun Fujisawa; Katsuhiro Ota

doi:10.1002/jgt.21827

Edge Proximity Conditions for Extendability in Planar Triangulations

Jun Fujisawa, Katsuhiro Ota

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

6 Citations (Scopus)

Abstract

Abstract A graph G with at least 2m + 2 vertices is said to be distance d m-extendable if for any matching M of G with m edges in which the edges lie at distance at least d pairwise, there exists a perfect matching of G containing M. In this article we prove that every 5-connected triangulation on the plane of even order is distance 3 9-extendable and distance 4 m-extendable for any m.

Original language	English
Pages (from-to)	1-11
Number of pages	11
Journal	Journal of Graph Theory
Volume	80
Issue number	1
DOIs	https://doi.org/10.1002/jgt.21827
Publication status	Published - 2015 Sep 1

Keywords

AMS classification 05C70: 05C10
distance restricted matching extension
plane graph
triangulation

ASJC Scopus subject areas

Geometry and Topology

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10.1002/jgt.21827

Cite this

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AB - Abstract A graph G with at least 2m + 2 vertices is said to be distance d m-extendable if for any matching M of G with m edges in which the edges lie at distance at least d pairwise, there exists a perfect matching of G containing M. In this article we prove that every 5-connected triangulation on the plane of even order is distance 3 9-extendable and distance 4 m-extendable for any m.

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KW - triangulation

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Edge Proximity Conditions for Extendability in Planar Triangulations

Abstract

Keywords

ASJC Scopus subject areas

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