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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
4731
Venue
SIGMOD
Year
2013
Pagerank
5.1522897e-05
Overall Rank
6,206 | 56.87%
DOI
-

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Incoming Citations (Sorted by Pagerank)

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1,256 Influential Community Search in Large Networks 2015 VLDB 0.00013009097
1,670 Speedup Graph Processing by Graph Ordering 2016 SIGMOD 0.00010944596
2,608 Maximum Co-located Community Search in Large Scale Social Networks 2018 VLDB 8.4587487e-05
3,274 Global Reinforcement of Social Networks: The Anchored Coreness Problem 2020 SIGMOD 7.2886717e-05
3,323 Hierarchical Core Maintenance on Large Dynamic Graphs 2021 VLDB 7.2170169e-05
3,608 Skyline Community Search in Multi-valued Networks 2018 SIGMOD 6.9241653e-05
3,857 Index-based Optimal Algorithms for Computing Steiner Components with Maximum Connectivity 2015 SIGMOD 6.6924202e-05
3,972 Efficient Size-Bounded Community Search over Large Networks 2021 VLDB 6.5724209e-05
4,133 On Querying Historical K-Cores 2021 VLDB 6.4185206e-05
5,148 Scalable Mining of Maximal Quasi-Cliques: An Algorithm-System Codesign Approach 2021 VLDB 5.6572863e-05
5,656 An Optimal and Progressive Approach to Online Search of Top-K Influential Communities 2018 VLDB 5.3876479e-05
6,509 Efficient Parallel D-core Decomposition at Scale 2024 VLDB 5.0273291e-05
7,343 I/O Efficient ECC Graph Decomposition via Graph Reduction 2016 VLDB 4.7511136e-05
7,664 Computing A Near-Maximum Independent Set in Linear Time by Reducing-Peeling 2017 SIGMOD 4.6805647e-05
8,630 A Near-Optimal Approach to Edge Connectivity-Based Hierarchical Graph Decomposition 2022 VLDB 4.4765914e-05
9,396 Efficient Maximum s-Bundle Search via Local Vertex Connectivity 2025 SIGMOD 4.3399748e-05
10,076 Efficient Size-Bounded Community Search, Revisited: Frameworks for Practical Improvements 2026 SIGMOD 4.1905499e-05
11,051 Efficient Algorithms for Density Decomposition on Large Static and Dynamic Graphs 2024 VLDB 4.1905499e-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 0.00047955011
682 Finding Maximal Cliques in Massive Networks by H*-graph 2010 SIGMOD 0.0001816451
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