Article ID Journal Published Year Pages File Type
4598637 Linear Algebra and its Applications 2016 19 Pages PDF
Abstract

Various modularity matrices appeared in the recent literature on network analysis and algebraic graph theory. Their purpose is to allow writing as quadratic forms certain combinatorial functions appearing in the framework of graph clustering problems. In this paper we put in evidence certain common traits of various modularity matrices and shed light on their spectral properties that are at the basis of various theoretical results and practical spectral-type algorithms for community detection.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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