Title
Modularity of regular and treelike graphs.
Abstract
Clustering algorithms for large networks typically use modularity values to test which partitions of the vertex set better represent structure in the data. The modularity of a graph is the maximum modularity of a partition. We consider the modularity of two kinds of graphs. For r-regular graphs with a given number of vertices, we investigate the minimum possible modularity, the typical modularity,...
Year
DOI
Venue
2018
10.1093/comnet/cnx046
Journal of Complex Networks
Keywords
Field
DocType
community detection,Newman–Girvan modularity,treewidth,edge expansion
Discrete mathematics,Combinatorics,Vertex (geometry),Upper and lower bounds,Cubic graph,Degree (graph theory),Treewidth,Partition (number theory),Cluster analysis,Modularity,Mathematics
Journal
Volume
Issue
ISSN
6
4
2051-1310
Citations 
PageRank 
References 
1
0.37
9
Authors
2
Name
Order
Citations
PageRank
Colin McDiarmid11071167.05
Fiona Skerman284.26