SimRank: a measure of structural-context similarity
Proceedings of the eighth ACM SIGKDD international conference on Knowledge discovery and data mining
Node similarity in networked information spaces
CASCON '01 Proceedings of the 2001 conference of the Centre for Advanced Studies on Collaborative research
Topic-Sensitive PageRank: A Context-Sensitive Ranking Algorithm for Web Search
IEEE Transactions on Knowledge and Data Engineering
Scaling link-based similarity search
WWW '05 Proceedings of the 14th international conference on World Wide Web
SimFusion: measuring similarity using unified relationship matrix
Proceedings of the 28th annual international ACM SIGIR conference on Research and development in information retrieval
LinkClus: efficient clustering via heterogeneous semantic links
VLDB '06 Proceedings of the 32nd international conference on Very large data bases
Simrank++: query rewriting through link analysis of the clickgraph (poster)
Proceedings of the 17th international conference on World Wide Web
Extraction and mining of an academic social network
Proceedings of the 17th international conference on World Wide Web
Edge Metrics for Visual Graph Analytics: A Comparative Study
IV '08 Proceedings of the 2008 12th International Conference Information Visualisation
Note: Symmetry in complex networks
Discrete Applied Mathematics
Exploiting the Block Structure of Link Graph for Efficient Similarity Computation
PAKDD '09 Proceedings of the 13th Pacific-Asia Conference on Advances in Knowledge Discovery and Data Mining
P-Rank: a comprehensive structural similarity measure over information networks
Proceedings of the 18th ACM conference on Information and knowledge management
MatchSim: a novel neighbor-based similarity measure with maximum neighborhood matching
Proceedings of the 18th ACM conference on Information and knowledge management
Relevance search in heterogeneous networks
Proceedings of the 15th International Conference on Extending Database Technology
Measuring tie strength in implicit social networks
Proceedings of the 3rd Annual ACM Web Science Conference
Scalable and axiomatic ranking of network role similarity
ACM Transactions on Knowledge Discovery from Data (TKDD) - Casin special issue
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A key task in analyzing social networks and other complex networks is role analysis: describing and categorizing nodes by how they interact with other nodes. Two nodes have the same role if they interact with equivalent sets of neighbors. The most fundamental role equivalence is automorphic equivalence. Unfortunately, the fastest algorithm known for graph automorphism is nonpolynomial. Moreover, since exact equivalence is rare, a more meaningful task is measuring the role similarity between any two nodes. This task is closely related to the link-based similarity problem that SimRank addresses. However, SimRank and other existing simliarity measures are not sufficient because they do not guarantee to recognize automorphically or structurally equivalent nodes. This paper makes two contributions. First, we present and justify several axiomatic properties necessary for a role similarity measure or metric. Second, we present RoleSim, a role similarity metric which satisfies these axioms and which can be computed with a simple iterative algorithm. We rigorously prove that RoleSim satisfies all the axiomatic properties and demonstrate its superior interpretative power on both synthetic and real datasets.