A mathematical perspective on graph operations and modularity properties

Document Type : Research Articles

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University of Kashan

Abstract

Modularity is an important concept in social network analysis and plays a crucial role in understanding the structure of etworks. One effective approach to studying the context graph of a network is to analyze the mathematical properties of graph structure and graph operations. In this study, we investigate the mathematical properties of modularity measures in graphs and focus on the interplay between modularity and graph operations. On this basis, we present formulas for the modularity of these graph operations. This paper can contribute to the current discourse on modularity and graphs based on graph structure.

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