Title
Metric Indexing for Graph Similarity Search
Abstract
Finding the graphs that are most similar to a query graph in a large database is a common task with various applications. A widely-used similarity measure is the graph edit distance, which provides an intuitive notion of similarity and naturally supports graphs with vertex and edge attributes. Since its computation is NP-hard, techniques for accelerating similarity search have been studied extensively. However, index-based approaches for this are almost exclusively designed for graphs with categorical vertex and edge labels and uniform edit costs. We propose a filter-verification framework for similarity search, which supports non-uniform edit costs for graphs with arbitrary attributes. We employ an expensive lower bound obtained by solving an optimal assignment problem. This filter distance satisfies the triangle inequality, making it suitable for acceleration by metric indexing. In subsequent stages, assignment-based upper bounds are used to avoid further exact distance computations. Our extensive experimental evaluation shows that a significant runtime advantage over both a linear scan and state-of-the-art methods is achieved.
Year
DOI
Venue
2021
10.1007/978-3-030-89657-7_24
SIMILARITY SEARCH AND APPLICATIONS, SISAP 2021
Keywords
DocType
Volume
Graphs, Similarity search, Graph edit distance
Conference
13058
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Franka Bause100.34
David Blumenthal2246.26
Erich Schubert301.35
Nils Kriege4184.16