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Edge coloring of graphs embedded in a surface of nonnegative characteristic

Edge coloring of graphs embedded in a surface of nonnegative characteristic Let G be a graph embeddable in a surface of nonnegative characteristic with maximum degree six. In this paper, we prove that if G contains no a vertex v which is contained in all cycles of lengths from 3 to 6, then G is of Class 1. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Edge coloring of graphs embedded in a surface of nonnegative characteristic

Acta Mathematicae Applicatae Sinica , Volume 33 (3) – Aug 7, 2017

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References (14)

Publisher
Springer Journals
Copyright
Copyright © 2017 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag GmbH Germany
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-017-0693-y
Publisher site
See Article on Publisher Site

Abstract

Let G be a graph embeddable in a surface of nonnegative characteristic with maximum degree six. In this paper, we prove that if G contains no a vertex v which is contained in all cycles of lengths from 3 to 6, then G is of Class 1.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Aug 7, 2017

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