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Efficiently Computing k-Edge Connected Components via Graph Decomposition

Summary: Novel graph-decomposition paradigm for computing k-edge connected components via iterative drilling-down; iterations are bounded by the nesting depth of components (h). Threshold-based per-iteration decomposition runs in O(l|E|) (l small), yielding O(h l|E|) total and major speedups over O(|V|^2|E|+|V|^3 log|V|); evaluated on large real and synthetic graphs. (summarized by gpt-5-nano on Feb 09 2026)

Paper ID
h89c4b3bb1b29338b
Venue
SIGMOD
Year
2013
Pagerank
6.0472942e-05
Overall Rank
5,662 | 61.94%
DOI
10.1145/2463676.2465323

Incoming Non-self Citations Over Time

Authors

BibTeX Citation

@inproceedings{chang_sigmod13,
        title = {{Efficiently Computing k-Edge Connected Components via Graph Decomposition}},
        author = {Chang, Lijun and Yu, Jeffrey Xu and Qin, Lu and Lin, Xuemin and Liu, Chengfei and Liang, Weifa},
        series = {{SIGMOD} '13},
        booktitle = {Proceedings of the {ACM} {SIGMOD} International Conference on Management of Data},
        publisher = {Association for Computing Machinery},
        doi = {10.1145/2463676.2465323},
        url = {https://dl.acm.org/doi/10.1145/2463676.2465323},
        year = {2013}
}

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1,007 Influential Community Search in Large Networks 2015 VLDB 0.00012556573
1,440 Speedup Graph Processing by Graph Ordering 2016 SIGMOD 0.00010641888
2,146 Maximum Co-located Community Search in Large Scale Social Networks 2018 VLDB 8.9595369e-05
2,869 Hierarchical Core Maintenance on Large Dynamic Graphs 2021 VLDB 7.9235321e-05
3,249 On Querying Historical K-Cores 2021 VLDB 7.4939212e-05
3,318 Skyline Community Search in Multi-valued Networks 2018 SIGMOD 7.4324312e-05
3,328 Index-based Optimal Algorithms for Computing Steiner Components with Maximum Connectivity 2015 SIGMOD 7.4193937e-05
3,444 Efficient Size-Bounded Community Search over Large Networks 2021 VLDB 7.2966268e-05
4,422 Global Reinforcement of Social Networks: The Anchored Coreness Problem 2020 SIGMOD 6.6060521e-05
5,264 An Optimal and Progressive Approach to Online Search of Top-K Influential Communities 2018 VLDB 6.2038361e-05
5,291 Scalable Mining of Maximal Quasi-Cliques: An Algorithm-System Codesign Approach 2021 VLDB 6.192515e-05
6,211 I/O Efficient ECC Graph Decomposition via Graph Reduction 2016 VLDB 5.8487355e-05
6,651 Efficient Parallel D-core Decomposition at Scale 2024 VLDB 5.7203229e-05
7,634 Computing A Near-Maximum Independent Set in Linear Time by Reducing-Peeling 2017 SIGMOD 5.4792319e-05
8,772 A Near-Optimal Approach to Edge Connectivity-Based Hierarchical Graph Decomposition 2022 VLDB 5.2806308e-05
9,677 Efficient Maximum s-Bundle Search via Local Vertex Connectivity 2025 SIGMOD 5.1435978e-05
9,915 Efficient Algorithms for Density Decomposition on Large Static and Dynamic Graphs 2024 VLDB 5.1103839e-05
10,519 Zero-Redundancy Search for Bi-Components in Bipartite Graphs 2026 SIGMOD 4.9793485e-05
10,565 Efficient Size-Bounded Community Search, Revisited: Frameworks for Practical Improvements 2026 SIGMOD 4.9793485e-05
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Outgoing Citations (Sorted by Pagerank)

Showing 2 of 2 cited papers.

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

Rank Cited Paper Year Venue Pagerank
265 On Triangulation-based Dense Neighborhood Graph Discovery 2011 VLDB 0.00022748633
645 Finding Maximal Cliques in Massive Networks by H*-graph 2010 SIGMOD 0.00015213733
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