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- W2950953989 abstract "The imbalance of an edge $e={u,v}$ in a graph is defined as $i(e)=|d(u)-d(v)|$, where $d(cdot)$ is the vertex degree. The irregularity $I(G)$ of $G$ is then defined as the sum of imbalances over all edges of $G$. This concept was introduced by Albertson who proved that $I(G) leq frac{n^{3}}{27}$ (where $n=|V(G)|$) and obtained stronger bounds for bipartite and triangle-free graphs. Since then a number of additional bounds were given by various authors. In this paper we prove a new upper bound, which improves a bound found by Zhou and Luo in 2011. Our bound involves the Laplacian spectral radius $lambda$." @default.
- W2950953989 created "2019-06-27" @default.
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- W2950953989 date "2013-08-18" @default.
- W2950953989 modified "2023-09-27" @default.
- W2950953989 title "A spectral bound for graph irregularity" @default.
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