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EqRank: A Self-Consistent Equivalence Relation on Graph Vertexes

Grigorii Pivovarov·Sergei Trunov
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Abstract

A new method of hierarchical clustering of graph vertexes is suggested. In the method, the graph partition is determined with an equivalence relation satisfying a recursive definition stating that vertexes are equivalent if the vertexes they point to (or vertexes pointing to them) are equivalent. Iterative application of the partitioning yields a hierarchical clustering of graph vertexes. The method is applied to the citation graph of hep-th. The outcome is a two-level classification scheme for the subject field presented in hep-th, and indexing of the papers from hep-th in this scheme. A number of tests show that the classification obtained is adequate.

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Grigorii Pivovarov, Sergei Trunov. 2003-08-29. EqRank: A Self-Consistent Equivalence Relation on Graph Vertexes. https://arxiv.org/abs/cs/0308044

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