SimRank: a measure of structural-context similarity
Proceedings of the eighth ACM SIGKDD international conference on Knowledge discovery and data mining
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
PageSim: A Novel Link-Based Similarity Measure for the World Wide Web
WI '06 Proceedings of the 2006 IEEE/WIC/ACM International Conference on Web Intelligence
Extending Link-based Algorithms for Similar Web Pages with Neighborhood Structure
WI '07 Proceedings of the IEEE/WIC/ACM International Conference on Web Intelligence
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
Simrank++: query rewriting through link analysis of the click graph
Proceedings of the VLDB Endowment
Accuracy estimate and optimization techniques for SimRank computation
Proceedings of the VLDB Endowment
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
Calculating Similarity Efficiently in a Small World
ADMA '09 Proceedings of the 5th International Conference on Advanced Data Mining and Applications
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
Applying centrality measures to impact analysis: A coauthorship network analysis
Journal of the American Society for Information Science and Technology
Efficient Algorithm for Computing Link-Based Similarity in Real World Networks
ICDM '09 Proceedings of the 2009 Ninth IEEE International Conference on Data Mining
Axiomatic ranking of network role similarity
Proceedings of the 17th ACM SIGKDD international conference on Knowledge discovery and data mining
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A key task in analyzing social networks and other complex networks is role analysis: describing and categorizing nodes according to 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 algorithms known for graph automorphism are 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 structural or link-based similarity problem that SimRank addresses. However, SimRank and other existing similarity measures are not sufficient because they do not guarantee to recognize automorphically or structurally equivalent nodes. This article makes two contributions. First, we present and justify several axiomatic properties necessary for a role similarity measure or metric. Second, we present RoleSim, a new similarity metric that satisfies these axioms and can be computed with a simple iterative algorithm. We rigorously prove that RoleSim satisfies all of these axiomatic properties. We also introduce Iceberg RoleSim, a scalable algorithm that discovers all pairs with RoleSim scores above a user-defined threshold θ. We demonstrate the interpretative power of RoleSim on both both synthetic and real datasets.