# The irregularity of graphs under graph operations

• Volume: 34, Issue: 2, page 263-278
• ISSN: 2083-5892

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## Abstract

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The irregularity of a simple undirected graph G was defined by Albertson [5] as irr(G) = ∑uv∈E(G) |dG(u) − dG(v)|, where dG(u) denotes the degree of a vertex u ∈ V (G). In this paper we consider the irregularity of graphs under several graph operations including join, Cartesian product, direct product, strong product, corona product, lexicographic product, disjunction and sym- metric difference. We give exact expressions or (sharp) upper bounds on the irregularity of graphs under the above mentioned operations

## How to cite

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Hosam Abdo, and Darko Dimitrov. "The irregularity of graphs under graph operations." Discussiones Mathematicae Graph Theory 34.2 (2014): 263-278. <http://eudml.org/doc/268138>.

@article{HosamAbdo2014,
abstract = {The irregularity of a simple undirected graph G was defined by Albertson [5] as irr(G) = ∑uv∈E(G) |dG(u) − dG(v)|, where dG(u) denotes the degree of a vertex u ∈ V (G). In this paper we consider the irregularity of graphs under several graph operations including join, Cartesian product, direct product, strong product, corona product, lexicographic product, disjunction and sym- metric difference. We give exact expressions or (sharp) upper bounds on the irregularity of graphs under the above mentioned operations},
author = {Hosam Abdo, Darko Dimitrov},
journal = {Discussiones Mathematicae Graph Theory},
keywords = {irregularity of graphs; total irregularity of graphs; graph operations; Zagreb indices},
language = {eng},
number = {2},
pages = {263-278},
title = {The irregularity of graphs under graph operations},
url = {http://eudml.org/doc/268138},
volume = {34},
year = {2014},
}

TY - JOUR
AU - Hosam Abdo
AU - Darko Dimitrov
TI - The irregularity of graphs under graph operations
JO - Discussiones Mathematicae Graph Theory
PY - 2014
VL - 34
IS - 2
SP - 263
EP - 278
AB - The irregularity of a simple undirected graph G was defined by Albertson [5] as irr(G) = ∑uv∈E(G) |dG(u) − dG(v)|, where dG(u) denotes the degree of a vertex u ∈ V (G). In this paper we consider the irregularity of graphs under several graph operations including join, Cartesian product, direct product, strong product, corona product, lexicographic product, disjunction and sym- metric difference. We give exact expressions or (sharp) upper bounds on the irregularity of graphs under the above mentioned operations
LA - eng
KW - irregularity of graphs; total irregularity of graphs; graph operations; Zagreb indices
UR - http://eudml.org/doc/268138
ER -

## References

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