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:  We experimentally show that graphs generated by the 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.