Geodesic
Extremely Irregular Graphs
Kragujevac Journal of Mathematics, Tome 37 (2013) no. 1, p. 135

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The irregularity of a graph $G$ is defined as $irr(G) =\sum |d(x)-d(y)|$ where $d(x)$ is the degree of vertex $x$ and the summation embraces all pairs of adjacent vertices of $G$. We characterize the graphs minimum and maximum values of $irr$.
Classification : 05C07 05C05
Keywords: Irregularity (of graph), Albertson index, third Zagreb index, degree (of vertex). 
M. Tavakoli; F. Rahbarnia; M. Mirzavaziri; A. R. Ashrafi; I. Gutman. Extremely Irregular Graphs. Kragujevac Journal of Mathematics, Tome 37 (2013) no. 1, p. 135 . http://geodesic.mathdoc.fr/item/KJM_2013_37_1_a9/
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