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Journal of Applied Mathematics
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The Maximal Total Irregularity of Bicyclic Graphs

The maximal total irregularity of bicyclic graphs
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2014 English Publisher:WileyJournal:Journal of Applied Mathematics, volume 2,014, pages 1-9 (issn: 1110-757X, eissn: 1687-0042, Copyright policy )
Authors: Lihua You; Jieshan Yang; Yingxue Zhu; Zhifu You;

doi: 10.1155/2014/785084

The Maximal Total Irregularity of Bicyclic Graphs

Abstract

In 2012, Abdo and Dimitrov defined the total irregularity of a graphG=(V,E)asirrtG=1/2∑u,v∈VdGu-dGv, wheredGudenotes the vertex degree of a vertexu∈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 onnvertices.

Related Organizations
Keywords

Extremal problems in graph theory, QA1-939, Vertex degrees, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
12
Top 10%
Top 10%
Average
gold