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Densest Subgraph in Streaming and MapReduce

Summary: Streaming algorithms for densest subgraph use O(log_{1+ε} n) passes and achieve a 2(1+ε)-approximation, while mapping naturally to parallel MapReduce. Extensive experiments on massive real graphs demonstrate practical scalability. (summarized by gpt-5.6-luna on Jul 24 2026)

Paper ID
10680
Venue
VLDB
Year
2012
Pagerank
0.00016485347
Overall Rank
564 | 96.14%
DOI
10.14778/2140436.2140442

Incoming Non-self Citations Over Time

Authors

BibTeX Citation

@article{bahmani_vldb12,
        title = {{Densest Subgraph in Streaming and MapReduce}},
        author = {Bahmani, Bahman and Kumar, Ravi and Vassilvitskii, Sergei},
        journal = {PVLDB},
        series = {{VLDB} '12},
        volume = {5},
        number = {5},
        pages = {454},
        doi = {10.14778/2140436.2140442},
        url = {https://doi.org/10.14778/2140436.2140442},
        year = {2012}
}

Incoming Citations (Sorted by Pagerank)

Showing 27 of 27 citing papers.

Rank Citing Paper Year Venue Pagerank
273 Online Search of Overlapping Communities 2013 SIGMOD 0.00022671795
804 Robust Local Community Detection: On Free Rider Effect and Its Elimination 2015 VLDB 0.0001389717
1,239 Attribute-Driven Community Search 2017 VLDB 0.000115381
1,307 KClist++: A Simple Algorithm for Finding k-Clique Densest Subgraphs in Large Graphs 2020 VLDB 0.00011232263
2,024 Efficient Algorithms for Densest Subgraph Discovery 2019 VLDB 9.2907829e-05
2,085 Scalable K-Means++ 2012 VLDB 9.1943614e-05
2,539 Minimal MapReduce Algorithms 2013 SIGMOD 8.4526595e-05
3,008 Scalable Big Graph Processing in MapReduce 2014 SIGMOD 7.8578871e-05
3,148 Finding Locally Densest Subgraphs: A Convex Programming Approach 2022 VLDB 7.707548e-05
3,613 Scaling Up k-Clique Densest Subgraph Detection 2023 SIGMOD 7.2572837e-05
3,737 Efficient Algorithms for Densest Subgraph Discovery on Large Directed Graphs 2020 SIGMOD 7.1609645e-05
4,554 Anchored Densest Subgraph 2022 SIGMOD 6.6345929e-05
4,903 A Convex-Programming Approach for Efficient Directed Densest Subgraph Discovery 2022 SIGMOD 6.4520708e-05
8,390 Spade: A Real-Time Fraud Detection Framework on Evolving Graphs 2023 VLDB 5.4360143e-05
8,822 Efficient and Effective Algorithms for Generalized Densest Subgraph Discovery 2023 SIGMOD 5.3624668e-05
9,189 RUSH: Real-time Burst Subgraph Detection in Dynamic Graphs 2024 VLDB 5.3058708e-05
9,519 A Counting-based Approach for Efficient k-Clique Densest Subgraph Discovery 2024 SIGMOD 5.2562724e-05
9,553 Approximate Anchored Densest Subgraph Search on Large Static and Dynamic Graphs 2025 VLDB 5.2528121e-05
9,696 An Efficient and Exact Algorithm for Locally h-Clique Densest Subgraph Discovery 2024 SIGMOD 5.2351259e-05
10,192 An Efficient Streaming Algorithm for Approximating Graphlet Distributions 2026 SIGMOD 5.093636e-05
10,226 Efficient Anchored Densest Subgraph Discovery: Improved Time Complexity and Practical Performance 2026 SIGMOD 5.093636e-05
10,363 Efficient and Scalable Directed Densest Subgraph Discovery 2026 SIGMOD 5.093636e-05
10,758 Dupin: A Parallel Framework for Densest Subgraph Discovery in Fraud Detection on Massive Graphs 2025 SIGMOD 5.093636e-05
10,767 Integral Densest Subgraph Search on Directed Graphs 2025 SIGMOD 5.093636e-05
10,807 In-depth Analysis of Densest Subgraph Discovery in a Unified Framework 2025 VLDB 5.093636e-05
10,930 Efficient k-Clique Densest Subgraph Discovery: Towards Bridging Practice and Theory 2025 VLDB 5.093636e-05
11,608 Densest Subgraph Discovery on Large Graphs: Applications, Challenges, and Techniques 2022 VLDB 5.093636e-05
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Outgoing Citations (Sorted by Pagerank)

Showing 3 of 3 cited papers.

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

Rank Cited Paper Year Venue Pagerank
138 Discovering Large Dense Subgraphs in Massive Graphs 2005 VLDB 0.00029823423
269 3-HOP: A High-Compression Indexing Scheme for Reachability Query 2009 SIGMOD 0.00022786599
2,858 Social Content Matching in MapReduce 2011 VLDB 8.029569e-05
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