Split Graphs Whose Completely Regular Endomorphisms Form a Monoid

Hailong Hou1, Rui Gu1
1School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, 471023, P.R. China

Abstract

In this paper, the completely regular endomorphisms of a split graph are investigated. We give necessary and sufficient conditions the completely regular endomorphisms of a split graph form a monoid.