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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
hef2c007660b150af
Venue
VLDB
Year
2012
Pagerank
0.00016408664
Overall Rank
560 | 96.25%
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 28 of 28 citing papers.

Rank Citing Paper Year Venue Pagerank
274 Online Search of Overlapping Communities 2013 SIGMOD 0.00022499515
809 Robust Local Community Detection: On Free Rider Effect and Its Elimination 2015 VLDB 0.00013727469
1,198 KClist++: A Simple Algorithm for Finding k-Clique Densest Subgraphs in Large Graphs 2020 VLDB 0.00011541919
1,234 Attribute-Driven Community Search 2017 VLDB 0.0001138939
1,995 Efficient Algorithms for Densest Subgraph Discovery 2019 VLDB 9.2189157e-05
2,138 Scalable K-Means++ 2012 VLDB 8.9755133e-05
2,561 Minimal MapReduce Algorithms 2013 SIGMOD 8.2743492e-05
2,926 Finding Locally Densest Subgraphs: A Convex Programming Approach 2022 VLDB 7.837861e-05
3,071 Scalable Big Graph Processing in MapReduce 2014 SIGMOD 7.6670408e-05
3,396 Scaling Up k-Clique Densest Subgraph Detection 2023 SIGMOD 7.3277458e-05
3,778 Efficient Algorithms for Densest Subgraph Discovery on Large Directed Graphs 2020 SIGMOD 7.0037629e-05
4,377 Anchored Densest Subgraph 2022 SIGMOD 6.6166943e-05
4,944 A Convex-Programming Approach for Efficient Directed Densest Subgraph Discovery 2022 SIGMOD 6.3297928e-05
7,370 Spade: A Real-Time Fraud Detection Framework on Evolving Graphs 2023 VLDB 5.5258876e-05
7,832 A Counting-based Approach for Efficient k-Clique Densest Subgraph Discovery 2024 SIGMOD 5.4289543e-05
8,396 Dupin: A Parallel Framework for Densest Subgraph Discovery in Fraud Detection on Massive Graphs 2025 SIGMOD 5.3238057e-05
8,993 An Efficient and Exact Algorithm for Locally h-Clique Densest Subgraph Discovery 2024 SIGMOD 5.2288673e-05
9,004 Efficient and Effective Algorithms for Generalized Densest Subgraph Discovery 2023 SIGMOD 5.2256037e-05
9,403 RUSH: Real-time Burst Subgraph Detection in Dynamic Graphs 2024 VLDB 5.1672232e-05
9,768 Approximate Anchored Densest Subgraph Search on Large Static and Dynamic Graphs 2025 VLDB 5.115551e-05
10,291 Integral Densest Subgraph Search on Directed Graphs 2025 SIGMOD 5.031399e-05
10,486 An Efficient Streaming Algorithm for Approximating Graphlet Distributions 2026 SIGMOD 4.9605343e-05
10,520 Efficient Anchored Densest Subgraph Discovery: Improved Time Complexity and Practical Performance 2026 SIGMOD 4.9605343e-05
10,636 Efficient and Scalable Directed Densest Subgraph Discovery 2026 SIGMOD 4.9605343e-05
10,879 Efficient Locally h-Clique Densest Subgraph Discovery via Divide-and-Conquer 2026 VLDB 4.9605343e-05
11,284 In-depth Analysis of Densest Subgraph Discovery in a Unified Framework 2025 VLDB 4.9605343e-05
11,383 Efficient k-Clique Densest Subgraph Discovery: Towards Bridging Practice and Theory 2025 VLDB 4.9605343e-05
11,966 Densest Subgraph Discovery on Large Graphs: Applications, Challenges, and Techniques 2022 VLDB 4.9605343e-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
130 Discovering Large Dense Subgraphs in Massive Graphs 2005 VLDB 0.0003029792
269 3-HOP: A High-Compression Indexing Scheme for Reachability Query 2009 SIGMOD 0.00022625826
2,908 Social Content Matching in MapReduce 2011 VLDB 7.8645705e-05
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