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

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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). 
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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/