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.

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Bibliographische Detailangaben
Hauptverfasser: Yoshimi Egawa, Keiko Kotani, Shunsuke Nakamura
Format: Artigo
Sprache:Inglês
Veröffentlicht: Taylor & Francis Group 2018-08-01
Schriftenreihe:AKCE International Journal of Graphs and Combinatorics
Schlagworte:
4-connected graph
contractible edge
triangle
Online Zugang:http://dx.doi.org/10.1016/j.akcej.2017.09.002
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