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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
7034
Venue
SIGMOD
Year
2025
Pagerank
4.3441378e-05
Overall Rank
9,390 | 34.68%
DOI
10.1145/3709687

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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
108 Truss Decomposition in Massive Networks 2012 VLDB 0.00048300163
283 Querying K-Truss Community in Large and Dynamic Graphs 2014 SIGMOD 0.00029041257
1,029 Dense Subgraph Maintenance under Streaming Edge Weight Updates for Real-time Story Identification 2012 VLDB 0.00014582849
2,225 Efficient Exact Algorithms for Maximum Balanced Biclique Search in Bipartite Graphs 2021 SIGMOD 9.2479064e-05
2,521 Efficient Algorithms for Maximal k-Biplex Enumeration 2022 SIGMOD 8.6065919e-05
3,854 Index-based Optimal Algorithms for Computing Steiner Components with Maximum Connectivity 2015 SIGMOD 6.6988744e-05
4,081 Efficient Maximum k-Plex Computation over Large Sparse Graphs 2023 VLDB 6.4642761e-05
4,270 Efficient k-Clique Listing: An Edge-Oriented Branching Strategy 2024 SIGMOD 6.3067205e-05
4,743 Cohesive Subgraph Search over Big Heterogeneous Information Networks: Applications, Challenges, and Solutions 2021 SIGMOD 5.9586508e-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
5,124 Maximum k-Biplex Search on Bipartite Graphs: A Symmetric-BK Branching Approach 2023 SIGMOD 5.6795646e-05
5,696 Maximum k-Plex Computation: Theory and Practice 2024 SIGMOD 5.3673968e-05
5,908 Fast Maximal Clique Enumeration on Uncertain Graphs: A Pivot-based Approach 2022 SIGMOD 5.2773278e-05
6,207 Efficiently Computing k-Edge Connected Components via Graph Decomposition 2013 SIGMOD 5.1572428e-05
6,532 Hereditary Cohesive Subgraphs Enumeration on Bipartite Graphs: The Power of Pivot-based Approaches 2023 SIGMOD 5.0245678e-05
6,813 Theoretically and Practically Efficient Maximum Defective Clique Search 2024 SIGMOD 4.9187137e-05
7,111 Fast Maximal Quasi-clique Enumeration: A Pruning and Branching Co-Design Approach 2023 SIGMOD 4.8284522e-05
7,346 I/O Efficient ECC Graph Decomposition via Graph Reduction 2016 VLDB 4.7556749e-05
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