An Application of Multicriteria Weighted Graph Similarity Method to Social Networks Analyzing

In the paper a concept of multicriteria weighted graphs similarity (MWGSP) method and its application to examine some properties of social networks is considered. The approach extends known approaches based on the graph similarity with two features: (1) the similarity is calculated as structural and non-structural (quantitative) in weighted graph, (2) choice of the most similar graph (subgraph) to graph (subgraph) representing examined objects is based on multicriteria decision. We test our similarity measures on email network for which the expected results are known, and on the terrorist net that prepared and executed September 11, 2001 attacks.