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Efficient Maximum s-Bundle Search via Local Vertex Connectivity

Summary: SymBD, a branch-and-bound solver for the maximum s-bundle problem (cohesive subgraph resilient to vertex deletions) using local-vertex-connectivity based orderings. Achieves O*(λ_s^n) with λ_s<2; includes heuristic initial solution, divide-and-conquer, and parallelization, with up to five orders of magnitude speedup on 664 graphs. (summarized by gpt-5-nano on Feb 09 2026)

Paper ID
h5d97c6137e2ee071
Venue
SIGMOD
Year
2025
Pagerank
5.1435978e-05
Overall Rank
9,677 | 34.94%
DOI
10.1145/3709687

Incoming Non-self Citations Over Time

Authors

BibTeX Citation

@inproceedings{liu_sigmod25,
        title = {{Efficient Maximum s-Bundle Search via Local Vertex Connectivity}},
        author = {Liu, Yang and Huang, Hejiao and Yu, Kaiqiang and Liu, Shengxin and Long, Cheng},
        series = {{SIGMOD} '25},
        booktitle = {Proceedings of the {ACM} {SIGMOD} International Conference on Management of Data},
        publisher = {Association for Computing Machinery},
        doi = {10.1145/3709687},
        url = {https://dl.acm.org/doi/10.1145/3709687},
        year = {2025}
}

Incoming Citations (Sorted by Pagerank)

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Outgoing Citations (Sorted by Pagerank)

Showing 19 of 19 cited papers.

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

Rank Cited Paper Year Venue Pagerank
100 Truss Decomposition in Massive Networks 2012 VLDB 0.00033977856
184 Querying K-Truss Community in Large and Dynamic Graphs 2014 SIGMOD 0.00026100147
988 Dense Subgraph Maintenance under Streaming Edge Weight Updates for Real-time Story Identification 2012 VLDB 0.00012660447
1,788 Efficient Exact Algorithms for Maximum Balanced Biclique Search in Bipartite Graphs 2021 SIGMOD 9.6317563e-05
2,320 Efficient Algorithms for Maximal k-Biplex Enumeration 2022 SIGMOD 8.6448197e-05
3,189 Efficient Maximum k-Plex Computation over Large Sparse Graphs 2023 VLDB 7.5528776e-05
3,328 Index-based Optimal Algorithms for Computing Steiner Components with Maximum Connectivity 2015 SIGMOD 7.4193937e-05
3,610 Efficient k-Clique Listing: An Edge-Oriented Branching Strategy 2024 SIGMOD 7.1643588e-05
3,860 Efficient Maximum k-Defective Clique Computation with Improved Time Complexity 2023 SIGMOD 6.9663663e-05
3,875 Cohesive Subgraph Search over Big Heterogeneous Information Networks: Applications, Challenges, and Solutions 2021 SIGMOD 6.9536357e-05
4,526 Maximal Defective Clique Enumeration 2023 SIGMOD 6.5606177e-05
4,612 Maximum k-Biplex Search on Bipartite Graphs: A Symmetric-BK Branching Approach 2023 SIGMOD 6.5021632e-05
4,732 Fast Maximal Clique Enumeration on Uncertain Graphs: A Pivot-based Approach 2022 SIGMOD 6.4461271e-05
5,500 Hereditary Cohesive Subgraphs Enumeration on Bipartite Graphs: The Power of Pivot-based Approaches 2023 SIGMOD 6.1028678e-05
5,552 Theoretically and Practically Efficient Maximum Defective Clique Search 2024 SIGMOD 6.0860432e-05
5,585 Maximum k-Plex Computation: Theory and Practice 2024 SIGMOD 6.0761018e-05
5,662 Efficiently Computing k-Edge Connected Components via Graph Decomposition 2013 SIGMOD 6.0472942e-05
6,211 I/O Efficient ECC Graph Decomposition via Graph Reduction 2016 VLDB 5.8487355e-05
7,043 Fast Maximal Quasi-clique Enumeration: A Pruning and Branching Co-Design Approach 2023 SIGMOD 5.6141221e-05
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