Before revision:  Thus, we analyze graph properties and the relationships between the properties using Erdos-R\'enyi graphs, which model well the underlying graph space . Specifically, we focus on thirteen properties of interest in graph theory and graph mining.
After revision:  Thus, we analyze graph properties and the relationships between the properties using Erdos-R\'enyi graph generator with p = 1/2 models well the underlying graph space . Specifically, we focus on thirteen properties of interest in graph theory and graph mining.