Modularity measure of networks with overlapping communities
Department of Biological Physics, Eötvös University - Pázmány Péter stny. 1A, Budapest, H-1117 Hungary, EU
2 Statistical and Biological Physics Research Group of HAS - Pázmány Péter stny. 1A, Budapest, H-1117 Hungary, EU
Corresponding author: firstname.lastname@example.org
Accepted: 23 March 2010
In this paper we introduce a non-fuzzy measure which has been designed to rank the partitions of a network's nodes into overlapping communities. Such a measure can be useful for both quantifying clusters detected by various methods and during finding the overlapping community structure by optimization methods. The theoretical problem referring to the separation of overlapping modules is discussed, and an example for possible applications is given as well.
PACS: 89.75.Hc – Networks and genealogical trees / 89.75.Fb – Structures and organization in complex systems / 05.90.+m – Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems
© EPLA, 2010