The Maximal Total Irregularity of Bicyclic Graphs

Lihua You, Jieshan Yang, Yingxue Zhu and Zhifu You

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

Abstract: In 2012, Abdo and Dimitrov defined the total irregularity of a graph G = (V, E) as irrt(G) = (1/2)∑u,v∈V|dG(u) − dG(v)|, where dG(u) denotes the vertex degree of a vertex u ∈ V. In this paper, we investigate the total irregularity of bicyclic graphs and characterize the graph with the maximal total irregularity among all bicyclic graphs on n vertices.

Date: 2014
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https://doi.org/10.1155/2014/785084

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:785084

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