Abstract. -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. Introduction. -Networks -in the sense they are used throughout the present paper -are basically graphs describing real-life complex systems taken from the most different scientific areas, but primarily from biology, economy and sociology. According to recent discoveries, reallife networks tend to have some interesting and rather unexpected common properties, such as scale-free degree distribution, strong disposition to form clusters (also called as communities or modules) or having the so called "smallworld" property [1] [2] [3] .
Lázár et al. REF also introduce a nonfuzzy measure which has been designed to rank the partitions for a network's nodes into overlapping communities.
epl draft Modularity measure of networks with overlapping communities