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We consider the community search problem defined upon a large graph G: given a query vertex q in G, to find as output all the densely connected subgraphs of G, each of which contains the query v. As an online, query-dependent variant of the well-known community detection problem, community search enables personalized community discovery that has found widely varying applications in real-world, large-scale graphs. In this paper, we study the community search problem in the truss-based model aimed at discovering all dense and cohesive k-truss communities to which the query vertex q belongs. We introduce a novel equivalence relation, k-truss equivalence, to model the intrinsic density and cohesiveness of edges in k-truss communities. Consequently, all the edges of G can be partitioned to a series of k-truss equivalence classes that constitute a space-efficient, truss-preserving index structure, EquiTruss. Community search can be henceforth addressed directly upon EquiTruss without repeated, time-demanding accesses to the original graph, G, which proves to be theoretically optimal. In addition, EquiTruss can be efficiently updated in a dynamic fashion when G evolves with edge insertion and deletion. Experimental studies in real-world, large-scale graphs validate the efficiency and effectiveness of EquiTruss, which has achieved at least an order of magnitude speedup in community search over the state-of-the-art method, TCP-Index.
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This content will become publicly available on September 15, 2026
HiPerMotif: Novel Parallel Subgraph Isomorphism in Large-Scale Property Graphs
Subgraph isomorphism algorithms face significant scalability bottlenecks on large-scale property graphs due to inefficient vertex-by-vertex search that requires extensive exploration of early search tree levels where pruning is minimal. We present HiPerMotif, a hybrid parallel algorithm that overcomes these limitations through edge-centric initialization. HiPerMotif first reorders pattern graphs to prioritize high-connectivity vertices, then systematically identifies and validates all possible first-edge mappings before injecting these pre-validated partial states directly at search depth 2. This approach eliminates costly early exploration while enabling natural parallelization over independent edge candidates. Comprehensive evaluation against state-of-the-art baselines (VF2-PS, VF3P, Glasgow) demonstrates up to 66x speedup on real-world networks and successful processing of massive datasets like the 150M-edge H01 human connectome that cause existing methods to fail due to memory constraints. Implemented in the open-source Arkouda/Arachne framework, HiPerMotif enables previously intractable large-scale network analysis in computational neuroscience and related domains.
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- PAR ID:
- 10655200
- Publisher / Repository:
- IEEE
- Date Published:
- Page Range / eLocation ID:
- 1 to 7
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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