Generalized modularity matrices
February 04, 2015 Β· Declared Dead Β· π 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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