Parallel Graph Algorithms in Constant Adaptive Rounds: Theory meets Practice
Summary: First constant-round AMPC algorithms for graph connectivity, MSF, and approximate max matching with O(n^ε) per-machine space (0<ε<1). Empirical study on large real-world graphs shows AMPC outperforms MPC baselines in time and rounds. (summarized by gpt-5-nano on Feb 09 2026)
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Authors
- 1. Soheil Behnezhad
- 2. Laxman Dhulipala
- 3. Hossein Esfandiari
- 4. Jakub Lacki
- 5. Vahab Mirrokni
- 6. Warren Schudy
Incoming Citations (Sorted by Pagerank)
Showing 1 of 1 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 7,871 | ConnectIt: A Framework for Static and Incremental Parallel Graph Connectivity Algorithms | 2021 | VLDB | 4.6308128e-05 |
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Outgoing Citations (Sorted by Pagerank)
Showing 7 of 7 cited papers.
Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank | Cited Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 4 | Pregel: A System for Large-Scale Graph Processing | 2010 | SIGMOD | 0.0019005923 |
| 331 | The Ubiquity of Large Graphs and Surprising Challenges of Graph Processing | 2018 | VLDB | 0.00027214222 |
| 486 | Fast Incremental and Personalized PageRank | 2011 | VLDB | 0.00022068545 |
| 966 | Streaming Algorithms for k-core Decomposition | 2013 | VLDB | 0.00014960672 |
| 2,039 | Local Algorithms for Hierarchical Dense Subgraph Discovery | 2019 | VLDB | 9.7061003e-05 |
| 2,846 | Unboundedness and Efficiency of Truss Maintenance in Evolving Graphs | 2019 | SIGMOD | 8.0234377e-05 |
| 4,689 | Algorithmic Aspects of Parallel Query Processing | 2018 | SIGMOD | 5.9980099e-05 |
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