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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
4730
Venue
SIGMOD
Year
2013
Pagerank
5.1572428e-05
Overall Rank
6,207 | 56.82%
DOI
-

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Incoming Citations (Sorted by Pagerank)

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2,603 Maximum Co-located Community Search in Large Scale Social Networks 2018 VLDB 8.4666465e-05
3,273 Global Reinforcement of Social Networks: The Anchored Coreness Problem 2020 SIGMOD 7.2956944e-05
3,321 Hierarchical Core Maintenance on Large Dynamic Graphs 2021 VLDB 7.223972e-05
3,603 Skyline Community Search in Multi-valued Networks 2018 SIGMOD 6.9306814e-05
3,854 Index-based Optimal Algorithms for Computing Steiner Components with Maximum Connectivity 2015 SIGMOD 6.6988744e-05
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4,139 On Querying Historical K-Cores 2021 VLDB 6.415046e-05
5,149 Scalable Mining of Maximal Quasi-Cliques: An Algorithm-System Codesign Approach 2021 VLDB 5.6627295e-05
5,643 An Optimal and Progressive Approach to Online Search of Top-K Influential Communities 2018 VLDB 5.3928286e-05
6,513 Efficient Parallel D-core Decomposition at Scale 2024 VLDB 5.0321577e-05
7,346 I/O Efficient ECC Graph Decomposition via Graph Reduction 2016 VLDB 4.7556749e-05
7,673 Computing A Near-Maximum Independent Set in Linear Time by Reducing-Peeling 2017 SIGMOD 4.6826056e-05
8,630 A Near-Optimal Approach to Edge Connectivity-Based Hierarchical Graph Decomposition 2022 VLDB 4.480887e-05
9,390 Efficient Maximum s-Bundle Search via Local Vertex Connectivity 2025 SIGMOD 4.3441378e-05
10,076 Efficient Size-Bounded Community Search, Revisited: Frameworks for Practical Improvements 2026 SIGMOD 4.1945683e-05
11,048 Efficient Algorithms for Density Decomposition on Large Static and Dynamic Graphs 2024 VLDB 4.1945683e-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
110 On Triangulation-based Dense Neighborhood Graph Discovery 2011 VLDB 0.00047892924
686 Finding Maximal Cliques in Massive Networks by H*-graph 2010 SIGMOD 0.00018178029
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