AKCE International Journal of Graphs and Combinatorics, Year (2024-12)

Title : ( On endomorphism-regularity of ( n , n  + 1)-graphs )

Authors: Azam Rajabi mashhadi , Ahmad Erfanian ,

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Abstract

The aim of this paper is to investigate End-regularity of (n, n + 1)-graphs which are connected graphs with n ≥ 1 vertices and n + 1 edges. This class of graphs includes all graphs consisting of two cycles connected by a path (bicycle graphs) and also graphs consisting of two cycles with a common path (eight graphs). We consider these kinds of graphs and provide answers regarding their End-regularity. Moreover, we consider the case where these classes have one or more pendant vertices and investigate their End-regularity.

Keywords

, n, n + 1)-graph; end-regular; bicycle graph; eight graph; regular endomorphism
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@article{paperid:1102601,
author = {Rajabi Mashhadi, Azam and Erfanian, Ahmad},
title = {On endomorphism-regularity of ( n , n  + 1)-graphs},
journal = {AKCE International Journal of Graphs and Combinatorics},
year = {2024},
month = {December},
issn = {0972-8600},
keywords = {n; n + 1)-graph; end-regular; bicycle graph; eight graph; regular endomorphism},
}

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%0 Journal Article
%T On endomorphism-regularity of ( n , n  + 1)-graphs
%A Rajabi Mashhadi, Azam
%A Erfanian, Ahmad
%J AKCE International Journal of Graphs and Combinatorics
%@ 0972-8600
%D 2024

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