Title : ( The endomorphisms monoids of helm graph and its generalization )
Authors: Aazam Rajabi Mashhadi , Ahmad Erfanian , A. AZIMI ,
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Abstract
Let G be a graph. Then G is said to be End-regular if the set of all endomorphisms of G forms a regular monoid. In this paper, we discuss the End-regularity of Helm graphs and our generalization. We also prove that the generalized Helm graph is End-orthodox if and only if it is End-regular. Moreover, we investigate the End-regularity of the join of two generalized Helm graphs
Keywords
, Helm graph, endomorphism, End-regular, End-orthodox, gen- eralized Helm graph, endospectrum, endotype.
@article{paperid:1094232,
author = {Rajabi Mashhadi, Aazam and Erfanian, Ahmad and A. AZIMI},
title = {The endomorphisms monoids of helm graph and its generalization},
journal = {Contributions To Discrete Mathematics},
year = {2022},
volume = {17},
number = {1},
month = {May},
issn = {1715-0868},
pages = {38--55},
numpages = {17},
keywords = {Helm graph; endomorphism; End-regular; End-orthodox; gen-
eralized Helm graph; endospectrum; endotype.},
}
%0 Journal Article
%T The endomorphisms monoids of helm graph and its generalization
%A Rajabi Mashhadi, Aazam
%A Erfanian, Ahmad
%A A. AZIMI
%J Contributions To Discrete Mathematics
%@ 1715-0868
%D 2022
