The Average Covering Number of a Graph

作者:Dogan Derya*; Dundar Pinar
来源:Journal of Applied Mathematics, 2013, 2013: 849817.
DOI:10.1155/2013/849817

摘要

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.

  • 出版日期2013

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