Zagreb Eccentricity Indices of the Generalized Hierarchical Product Graphs and Their Applications

Zhaoyang Luo and Jianliang Wu

Journal of Applied Mathematics, 2014, vol. 2014, 1-8

Abstract:

Let be a connected graph. The first and second Zagreb eccentricity indices of are defined as and , where is the eccentricity of the vertex in and . Suppose that is the generalized hierarchical product of two connected graphs and . In this paper, the Zagreb eccentricity indices and of are computed. Moreover, we present explicit formulas for the and of S -sum graph, Cartesian, cluster, and corona product graphs by means of some invariants of the factors.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:241712

DOI: 10.1155/2014/241712

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