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arXiv · 1304.0185

The Total Irregularity of Graphs under Graph Operations

Hosam Abdo·Darko Dimitrov
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Abstract

The total irregularity of a graph $G$ is defined as $\irr_t(G)=1/2 \sum_{u,v \in V(G)}$ $|d_G(u)-d_G(v)|$, where $d_G(u)$ denotes the degree of a vertex $u \in V(G)$. In this paper we give (sharp) upper bounds on the total irregularity of graphs under several graph operations including join, lexicographic product, Cartesian product, strong product, direct product, corona product, disjunction and symmetric difference.

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Hosam Abdo, Darko Dimitrov. 2013-03-31. The Total Irregularity of Graphs under Graph Operations. https://arxiv.org/abs/1304.0185

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