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Research Article Open access CC BY 4.0

Global Clustering Coefficient of the Products of Complete Graphs

Remarl Joseph M. Damalerio, Rolito G. Eballe

Asian Research Journal of Mathematics · pp. 62–69 · Published 23 May 2022

10.9734/arjom/2022/v18i630384

Abstract

The global clustering Coefficient Cc(G) of a connected graph G of order at least 3 is a metric that somehow measures how close G to being a complete graph. Its value ranges from 0 to 1. In this paper, we will show that for the tensor product Km ⊗ Km and cartesian product Km ʘ Km  Cc(Km⊗Km) and Cc(Km ʘ Km ) approach to 1 and 1=2, respectively, as m → ∞.

Clustering coefficient tensor product cartesian product regular graphs

Cited by 1

The Clustering Coefficient for Graph Products

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

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