Journal of Applied Mathematics

The Average Lower Connectivity of Graphs

Ersin Aslan

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Abstract

For a vertex v of a graph G , the lower connectivity, denoted by s v ( G ) , is the smallest number of vertices that contains v and those vertices whose deletion from G produces a disconnected or a trivial graph. The average lower connectivity denoted by κ a v ( G ) is the value ( v V G s v G ) / V G . It is shown that this parameter can be used to measure the vulnerability of networks. This paper contains results on bounds for the average lower connectivity and obtains the average lower connectivity of some graphs.

Article information

Source
J. Appl. Math., Volume 2014 (2014), Article ID 807834, 4 pages.

Dates
First available in Project Euclid: 2 March 2015

Permanent link to this document
https://projecteuclid.org/euclid.jam/1425305527

Digital Object Identifier
doi:10.1155/2014/807834

Mathematical Reviews number (MathSciNet)
MR3170448

Zentralblatt MATH identifier
07010757

Citation

Aslan, Ersin. The Average Lower Connectivity of Graphs. J. Appl. Math. 2014 (2014), Article ID 807834, 4 pages. doi:10.1155/2014/807834. https://projecteuclid.org/euclid.jam/1425305527


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