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The Total Irregularity of Some Composite Graphs

by Hosam Abdo, Darko Dimitrov
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 122 - Number 21
Year of Publication: 2015
Authors: Hosam Abdo, Darko Dimitrov
10.5120/21846-5170

Hosam Abdo, Darko Dimitrov . The Total Irregularity of Some Composite Graphs. International Journal of Computer Applications. 122, 21 ( July 2015), 1-9. DOI=10.5120/21846-5170

@article{ 10.5120/21846-5170,
author = { Hosam Abdo, Darko Dimitrov },
title = { The Total Irregularity of Some Composite Graphs },
journal = { International Journal of Computer Applications },
issue_date = { July 2015 },
volume = { 122 },
number = { 21 },
month = { July },
year = { 2015 },
issn = { 0975-8887 },
pages = { 1-9 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume122/number21/21846-5170/ },
doi = { 10.5120/21846-5170 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:11:06.254636+05:30
%A Hosam Abdo
%A Darko Dimitrov
%T The Total Irregularity of Some Composite Graphs
%J International Journal of Computer Applications
%@ 0975-8887
%V 122
%N 21
%P 1-9
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The total irregularity of a simple undirected graph G = (V;E) is defined as irrt(G) = 1 2 P u;v2V (G) jdG(u) ?? dG(v)j, where dG(u) is the degree of the vertex u. In this paper we investigate the change of the total irregularity of graphs under various subdivision operations. Also, we present exact expressions and upper bounds on the total irregularity of different composite graphs such as the double graph, the extended double cover of a graph, the generalized thorn graph, several variants of subdivision corona graphs, and the hierarchical product graphs.

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Index Terms

Computer Science
Information Sciences

Keywords

irregularity of a graph total irregularity of a graph graph invariants composite graphs

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