Non-contractible edges in a 3-connected graph

Yoshimi Egawa; Katsuhiro Ota; Akira Saito; Xingxing Yu

doi:10.1007/BF01299741

Non-contractible edges in a 3-connected graph

Yoshimi Egawa, Katsuhiro Ota, Akira Saito, Xingxing Yu

Department of Mathematics

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

3 Citations (Scopus)

Abstract

An edge e in a 3-connected graph G is contractible if the contraction of e in G results in a 3-connected graph; otherwise e is non-contractible. In this paper, we prove that the number of non-contractible edges in a 3-connected graph of order p≥5 is at most {Mathematical expression} and show that this upper bound is the best possible for infinitely many values of p.

Original language	English
Pages (from-to)	357-364
Number of pages	8
Journal	Combinatorica
Volume	15
Issue number	3
DOIs	https://doi.org/10.1007/BF01299741
Publication status	Published - 1995 Sep 1

Keywords

Mathemacics Subject Classification (1991): 05C40

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics
Computational Mathematics

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10.1007/BF01299741

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