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Research Article Open access CC BY 4.0

Clustering Coefficient of the Tensor Product of Graphs

Remarl Joseph M. Damalerio, Rolito G. Eballe

Asian Research Journal of Mathematics · pp. 36–42 · Published 21 May 2022

10.9734/arjom/2022/v18i630382

Abstract

Clustering coefficient is one of the most useful indices in complex networks. However, graph theoretic properties of this metric have not been discussed much in the literature, especially in graphs resulting from some binary operations. In this paper we present some expressions for the clustering coefficient of the tensor product of arbitrary graphs, regular graphs, and strongly regular graphs. A Vizing-type upperbound and a sharp lower bound for the clustering coefficient of the tensor product of graphs are also given.

Clustering coefficient tensor product of graphs regular graphs

Cited by 1

The Clustering Coefficient for Graph Products

Jhon J. Aguilar-Alarcón, Juan C. Hernández-Gómez, Jesús Romero-Valencia · Axioms · 2023

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