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Maximum k-Plex Search: An Alternated Reduction-and-Bound Method

Summary: AltRB alternately partitions branches and interleaves reduction and bounding with new rules to more aggressively prune BRB search for maximum k-plex. In kPEX with preprocessing, AltRB yields up to 100× speedups and solves more instances than prior BRB methods. (summarized by gpt-5-mini on Feb 09 2026)

Paper ID
13989
Venue
VLDB
Year
2025
Pagerank
4.3399748e-05
Overall Rank
9,404 | 34.65%
DOI
10.14778/3705829.3705851

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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 4.1905499e-05
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Outgoing Citations (Sorted by Pagerank)

Showing 15 of 15 cited papers.

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

Rank Cited Paper Year Venue Pagerank
106 Truss Decomposition in Massive Networks 2012 VLDB 0.00048373761
284 Querying K-Truss Community in Large and Dynamic Graphs 2014 SIGMOD 0.00029014359
1,650 Efficient Enumeration of Maximal k-Plexes 2015 SIGMOD 0.00011002771
2,230 Efficient Exact Algorithms for Maximum Balanced Biclique Search in Bipartite Graphs 2021 SIGMOD 9.2389629e-05
2,527 Efficient Algorithms for Maximal k-Biplex Enumeration 2022 SIGMOD 8.5982912e-05
4,085 Efficient Maximum k-Plex Computation over Large Sparse Graphs 2023 VLDB 6.4580586e-05
4,737 Cohesive Subgraph Search over Big Heterogeneous Information Networks: Applications, Challenges, and Solutions 2021 SIGMOD 5.9529218e-05
4,984 Efficient Maximum k-Defective Clique Computation with Improved Time Complexity 2023 SIGMOD 5.7811667e-05
5,021 Maximal Defective Clique Enumeration 2023 SIGMOD 5.7481039e-05
5,125 Maximum k-Biplex Search on Bipartite Graphs: A Symmetric-BK Branching Approach 2023 SIGMOD 5.6741053e-05
5,148 Scalable Mining of Maximal Quasi-Cliques: An Algorithm-System Codesign Approach 2021 VLDB 5.6572863e-05
5,709 Maximum k-Plex Computation: Theory and Practice 2024 SIGMOD 5.3622436e-05
5,909 Fast Maximal Clique Enumeration on Uncertain Graphs: A Pivot-based Approach 2022 SIGMOD 5.2722596e-05
6,530 Hereditary Cohesive Subgraphs Enumeration on Bipartite Graphs: The Power of Pivot-based Approaches 2023 SIGMOD 5.0197442e-05
7,109 Fast Maximal Quasi-clique Enumeration: A Pruning and Branching Co-Design Approach 2023 SIGMOD 4.8238188e-05
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