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.
| Original language | English |
|---|---|
| Pages (from-to) | 327-345 |
| Number of pages | 19 |
| Journal | Linear Algebra and its Applications |
| Volume | 502 |
| Early online date | 29 Jun 2015 |
| DOIs | |
| Publication status | Published - 1 Aug 2016 |
Keywords
- community detection
- modularity matrix
- nodal domains
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Fasino, D., & Tudisco, F. (2016). Generalized modularity matrices. Linear Algebra and its Applications, 502, 327-345. https://doi.org/10.1016/j.laa.2015.06.013