The Average Covering Number of a Graph

Derya Dogan; Pinar Dundar

doi:10.1155/2013/849817

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Home > Journals > J. Appl. Math. > Volume 2013 > Article

2013 The Average Covering Number of a Graph

Derya Dogan, Pinar Dundar

J. Appl. Math. 2013: 1-4 (2013). DOI: 10.1155/2013/849817

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Abstract

There are occasions when an average value of a graph parameter gives more useful information than the basic global value. In this paper, we introduce the concept of the average covering number of a graph (the covering number of a graph is the minimum number of vertices in a set with the property that every edge has a vertex in the set). We establish relationships between the average covering number and some other graph parameters, find the extreme values of the average covering number among all graphs of a given order, and find the average covering number for some families of graphs.