Title
Detectability of the spectral method for sparse graph partitioning
Abstract
We show that modularity maximization with the resolution parameter offers a unifying framework of graph partitioning. In this framework, we demonstrate that the spectral method exhibits universal detectability, irrespective of the value of the resolution parameter, as long as the graph is partitioned. Furthermore, we show that when the resolution parameter is sufficiently small, a first-order phase transition occurs, resulting in the graph being unpartitioned. Copyright (C) EPLA, 2015
Year
DOI
Venue
2015
10.1209/0295-5075/112/40007
EPL
Field
DocType
Volume
Graph,Phase transition,Quantum mechanics,Algorithm,Graph bandwidth,Spectral method,Graph partition,Maximization,Modularity,Physics,Dense graph
Journal
112
Issue
ISSN
Citations 
4
0295-5075
1
PageRank 
References 
Authors
0.36
8
2
Name
Order
Citations
PageRank
Tatsuro Kawamoto1165.11
Yoshiyuki Kabashima213627.83