Tps: A new way to find good vertex-search order for exact subgraph matching

Exact subgraph matching is fundamental to numerous graph data applications. The inherent NP-completeness of subgraph isomorphism poses significant challenges in developing efficient matching algorithms. Current methods show limited success, particularly in their filtering and verification stages. Se...

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Bibliographic Details
Published in:Multimedia tools and applications Vol. 83; no. 27; pp. 69875 - 69896
Main Authors: Ma, Yixing, Xu, Baomin, Yin, Hongfeng
Format: Journal Article
Language:English
Published: New York Springer US 01.08.2024
Springer Nature B.V
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ISSN:1573-7721, 1380-7501, 1573-7721
Online Access:Get full text
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Summary:Exact subgraph matching is fundamental to numerous graph data applications. The inherent NP-completeness of subgraph isomorphism poses significant challenges in developing efficient matching algorithms. Current methods show limited success, particularly in their filtering and verification stages. Selecting an optimal vertex-searching order can greatly improve a subgraph searching algorithm's effectiveness, yet a comprehensive theory for this selection is lacking. In this paper, we introduce the Multistage Graph Search Model (MGSM), a novel approach addressing this gap. MGSM provides insights for identifying the most efficient vertex-searching order and offers a systematic framework for evaluating existing algorithms. Using MGSM, we identify two main challenges in optimizing the search order and present a new matching algorithm “Tps” noted for its strategic vertex-searching order. Extensive experiments demonstrate the superior performance of Tps and its effectiveness and soundness in optimizing search orders.
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ISSN:1573-7721
1380-7501
1573-7721
DOI:10.1007/s11042-024-18328-3