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Structure of edges in a 4-connected graph not contained in triangles and the number of contractible edges

Let be a 4-connected graph, and let denote the set of those edges of which are not contained in a triangle, and let denote the set of 4-contractible edges of . We show that if or , then unless has one of the three specified configurations.

Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Prif Awduron: Yoshimi Egawa, Keiko Kotani, Shunsuke Nakamura
Fformat: Artigo
Iaith:Inglês
Cyhoeddwyd: Taylor & Francis Group 2018-08-01
Cyfres:AKCE International Journal of Graphs and Combinatorics
Pynciau:
Mynediad Ar-lein:http://dx.doi.org/10.1016/j.akcej.2017.09.002
Tagiau: Ychwanegu Tag
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