Document Type : Research Paper


1 Department of Mathematics, Stockholm University

2 Department of Mathematics, Stockholm university


In this paper, we relatively extend the definition of the global clustering coefficient to another clustering, which we call it \emph{relative clustering coefficient}. The idea of this definition is to ignore the edges in the network that the probability of having an edge is $0$. Here, we also consider a model as an example that using the relative clustering coefficient is better than the global clustering coefficient for comparing networks and also checking the properties of the networks.