Generalized modularity matrices

February 04, 2015 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Dario Fasino, Francesco Tudisco arXiv ID 1502.01139 Category math.SP Cross-listed cs.SI, math.NA Citations 24 Venue arXiv.org Last Checked 3 months ago
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.
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