Efficient subhypergraph matching based on hyperedge features

Abstract

Hypergraphs consist of vertices and hyperedges that can connect multiple vertices. Since hypergraphs can effectively simulate complex intergroup relationships between entities, they have a wide range of applications such as computer vision and bioinformatics. In this paper, we study the subhypergraph matching problem, which is one of the most challenging problems in the processing of the hypergraphs. We aim to extract all subhypergraph isomorphism embeddings of a query hypergraph q in a large data hypergraph D. The existing methods on subgraph matching are designed for the ordinary graphs, which typically achieve the goal by three phases, i.e., filtering candidate vertex sets, refining candidates, and then enumeration final results in some matching order. However, such a design cannot be trivially extended to efficiently handle hypergraphs due to the inherent difference between ordinary graphs and hypergraphs. This motivates us to enhance the performance by exploiting hyperedge features, such as the typical intersections and inclusion relations between hyperedges.