New distance-based graph invariants and relations among them
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摘要
The eccentricity of a vertex is the maximum distance from it to another vertex, and the average eccentricity of a graph is the mean eccentricity of a vertex. In this paper we introduce average edge and average vertex-edge mean eccentricities of a graph. Moreover, relations among these eccentricities for trees are provided as well as formulas for line graphs and cartesian product of graphs.
论文关键词:Average (edge, vertex-edge) eccentricity,Line graph,Cartesian product
论文评审过程:Available online 21 June 2013.
论文官网地址:https://doi.org/10.1016/j.amc.2013.05.024