Title : ( End-regularity of generalized bicycle graph )
Authors: Aazam Rajabi Mashhadi , Ahmad Erfanian , Ali Azimi ,
Full TextAbstract
A graph G is called End-regular, if every endomorphism of G is regular as a monoid. In this article, we investigate End-regularity of bicycle graphs. Moreover, a generalization of bicycle graph is defined and gives a characterization of End-regular generalized bicycle graphs. Furthermore, properties End-idempotent-closed and End-orthodox have been considered for these graphs. Finally, it has been proved that when join of two generalized bicycle graphs is End-regular.
Keywords
, Bicycle graph; endomorphism; End, regular; End, orthodox; generalized bicycle graph; join two graph
@article{paperid:1083953,
author = {Rajabi Mashhadi, Aazam and Erfanian, Ahmad and Ali Azimi},
title = {End-regularity of generalized bicycle graph},
journal = {AKCE International Journal of Graphs and Combinatorics},
year = {2020},
volume = {17},
number = {3},
month = {September},
issn = {0972-8600},
pages = {841--849},
numpages = {8},
keywords = {Bicycle graph;
endomorphism; End-regular;
End-orthodox; generalized
bicycle graph; join
two graph},
}
%0 Journal Article
%T End-regularity of generalized bicycle graph
%A Rajabi Mashhadi, Aazam
%A Erfanian, Ahmad
%A Ali Azimi
%J AKCE International Journal of Graphs and Combinatorics
%@ 0972-8600
%D 2020
