The tau constant of a metrized graph and its behavior under graph operations.
Cinkir, Zubeyir (2011)
The Electronic Journal of Combinatorics [electronic only]
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The tau constant of a metrized graph and its behavior under graph operations.
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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...