Geodesic
Extremely Irregular Unicyclic Graphs
Kragujevac Journal of Mathematics, Tome 43 (2019) no. 2, p. 281

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The irregularity of a graph is defined to be the sum of absolute values of the differences of the degrees of endpoints of each edge. In this paper, we present some new results on the irregularity of unicyclic graphs, and then characterize all unicyclic graphs on $n$ vertices with irregularity values greater than or equal to $n^2-9n+24$.
Classification : 05C05, 05C07, 05C35
Keywords: irregularity, vertex degree, unicyclic graphs, trees 
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     title = {Extremely {Irregular} {Unicyclic} {Graphs}},
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R. Nasiri; A. Gholami; G. H. Fath-Tabar; H. R. Ellahi. Extremely Irregular Unicyclic Graphs. Kragujevac Journal of Mathematics, Tome 43 (2019) no. 2, p. 281 . http://geodesic.mathdoc.fr/item/KJM_2019_43_2_a8/