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THE JOIN OF SPLIT GRAPHS WHOSE QUASI-STRONG ENDOMORPHISMS FORM A MONOID

Part of: Graph theory Semigroups

Published online by Cambridge University Press:  27 June 2014

HAILONG HOU ,
RUI GU  and
YOULIN SHANG
HAILONG HOU*
Affiliation:
School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, Henan, 471003, PR China email hailonghou@163.com
RUI GU
Affiliation:
School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, Henan, 471003, PR China
YOULIN SHANG
Affiliation:
School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, Henan, 471003, PR China
*
✉hailonghou@163.com
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Abstract

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In this paper, we characterise the quasi-strong endomorphisms of the join of split graphs. We give conditions under which the quasi-strong endomorphisms of the join of split graphs form a monoid.

Keywords

quasi-strong endomorphismmonoidsplit graphjoin of graphs

MSC classification

Primary: 05C25: Graphs and abstract algebra (groups, rings, fields, etc.)
Secondary: 20M20: Semigroups of transformations, etc.
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 91 , Issue 1 , February 2015 , pp. 1 - 10
Copyright
Copyright © 2014 Australian Mathematical Publishing Association Inc. 

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