ERWD: A Measure for Nearest-Neighbor Search in Undirected Graph

Junyin Wei,Bing Qi,Mingxi Zhang

Published 2013 in Unknown venue

ABSTRACT

Finding nearest neighbors in graph plays an increasingly important role in various applications, such as graph clustering, query expansion, recommendation system, etc. To tackle this problem, we need compute the most "similar" k vertices for the given vertex. One popular class of similarity measures is based on random walk approach on graphs. However, these measures consider each co-occurrence frequency of two vertices is equivalent, means that each occurrence of two vertices is not differentiated, and the influence of the vertices have not been considered enough. In this paper, we proposed an effective distance measure based on random walk distance, called ERWD, for nearest-neighbor search in undirected graph. The Relationship Strength (RS) of two vertices, which affects ERWD, is proposed firstly, and a model for measuring RS is established according to their structural characteristics and influences of the vertices. Extensive experimental results demonstrate the effectiveness of ERWD through comparison with the common random walk distance.

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