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Theoretically and Practically Efficient Maximum Defective Clique Search

Summary: Theoretically and practically efficient max k-defective clique search using new branch-reduction rules and pivot-based branching. O(m gamma_k^n) with gamma_k<2 (k=1–3: 1.466–1.889); color- and non-neighbor-based pruning plus an ordering-based preprocessor; 300-graph experiments show 3 orders of magnitude speedups over prior work. (summarized by gpt-5-nano on Feb 09 2026)

Paper ID
6972
Venue
SIGMOD
Year
2024
Pagerank
4.9187137e-05
Overall Rank
6,813 | 52.61%
DOI
10.1145/3677142

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Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.

Rank Cited Paper Year Venue Pagerank
3,693 The Web as a graph 2000 PODS 6.8356209e-05
4,081 Efficient Maximum k-Plex Computation over Large Sparse Graphs 2023 VLDB 6.4642761e-05
4,984 Efficient Maximum k-Defective Clique Computation with Improved Time Complexity 2023 SIGMOD 5.7867286e-05
5,022 Maximal Defective Clique Enumeration 2023 SIGMOD 5.7536318e-05
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