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Maximum Defective Clique Computation: Improved Time Complexities and Practical Performance

Summary: Tightens exact k-defective clique algorithms by improving the exponential bound from O*(gamma_k^n) to O*(gamma_k^{n-1}) (using gamma_{k-1}<gamma_k) and deriving degeneracy / degeneracy-gap parameterized bounds scaling as (alpha·Delta)^{k+2}·gamma_k^{alpha-1}. Introduces a degree-sequence reduction rule and shows orders-of-magnitude speedups on 290 benchmark graphs. (summarized by gpt-5-mini on Feb 09 2026)

Paper ID
13855
Venue
VLDB
Year
2025
Pagerank
5.3341661e-05
Overall Rank
9,397 | 34.70%
DOI
10.14778/3705829.3705839

Incoming Non-self Citations Over Time

Authors

Incoming Citations (Sorted by Pagerank)

Showing 1 of 1 citing papers.

Rank Citing Paper Year Venue Pagerank
10,074 Efficient Defective Clique Enumeration and Search with Worst-Case Optimal Search Space 2026 SIGMOD 5.1725247e-05
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Outgoing Citations (Sorted by Pagerank)

Showing 4 of 4 cited papers.

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

Rank Cited Paper Year Venue Pagerank
701 Finding Maximal Cliques in Massive Networks by H*-graph 2010 SIGMOD 0.00014954424
4,817 Efficient Maximum k-Defective Clique Computation with Improved Time Complexity 2023 SIGMOD 6.5611315e-05
5,294 Maximal Defective Clique Enumeration 2023 SIGMOD 6.34833e-05
9,407 Efficient k-Clique Count Estimation with Accuracy Guarantee 2024 VLDB 5.3341661e-05
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