Research Article | OPEN ACCESS
End-Regularity of the Join of n Split Graphs
Hailong Hou, Aifen Feng and Rui Gu
Department of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, 471003, China
Research Journal of Applied Sciences, Engineering and Technology 2013 5:1583-1588
Received: July 13, 2012 | Accepted: August 28, 2012 | Published: February 11, 2013
Abstract
A graph X is said to be End-regular if its endomorphism monoid End (X) is a regular semigroup. In this study, End-regular graphs which are the join of n split graphs are characterized. We give the conditions under which the endomorphism monoid of the join of n splits graphs is regular.
Keywords:
Endomorphism, join of n graphs, regular semigroup, split graph,
Competing interests
The authors have no competing interests.
Open Access Policy
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Copyright
The authors have no competing interests.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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