Approximately Counting Triangles in Large Graph Streams Including Edge Duplicates with a Fixed Memory Usage
Summary: One-pass streaming algorithm uniformly samples distinct edges from large graph streams with duplicates, achieving O(1) per-edge sampling and no extra memory. It infers triangle counts from samples, outperforming prior methods in accuracy and speed within the same memory footprint. (summarized by gpt-5-nano on Feb 09 2026)
Incoming Non-self Citations Over Time
Authors
- 1. Pinghui Wang (Shenzhen University; Xi'an Jiaotong University)
- 2. Yiyan Qi (Xi'an Jiaotong University)
- 3. Yu Sun (Xi'an Jiaotong University)
- 4. Xiangliang Zhang (King Abdullah University of Science and Technology)
- 5. Jing Tao (Xi'an Jiaotong University)
- 6. Xiaohong Guan (Tsinghua University; Xi'an Jiaotong University)
BibTeX Citation
@article{wang_vldb18,
title = {{Approximately Counting Triangles in Large Graph Streams Including Edge Duplicates with a Fixed Memory Usage}},
author = {Wang, Pinghui and Qi, Yiyan and Sun, Yu and Zhang, Xiangliang and Tao, Jing and Guan, Xiaohong},
journal = {PVLDB},
series = {{VLDB} '18},
doi = {10.14778/3149193.3149197},
url = {https://doi.org/10.14778/3149193.3149197},
year = {2018}
}Incoming Citations (Sorted by Pagerank)
Showing 6 of 6 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 2,635 | Sliding Window-based Approximate Triangle Counting over Streaming Graphs with Duplicate Edges | 2021 | SIGMOD | 8.3200595e-05 |
| 5,598 | Hypergraph Motifs: Concepts, Algorithms, and Discoveries | 2020 | VLDB | 6.1546212e-05 |
| 7,771 | Triangular Stability Maximization by Influence Spread over Social Networks | 2023 | VLDB | 5.5470467e-05 |
| 8,046 | LM-SRPQ: Efficiently Answering Regular Path Query in Streaming Graphs | 2024 | VLDB | 5.5007031e-05 |
| 9,866 | Finding Logic Bugs in Graph-processing Systems via Graph-cutting | 2025 | SIGMOD | 5.2043672e-05 |
| 10,847 | GREAT: Generalized Reservoir Sampling based Triangle Counting Estimation over Streaming Graphs | 2025 | VLDB | 5.093636e-05 |
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Outgoing Citations (Sorted by Pagerank)
Showing 6 of 6 cited papers.
Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank | Cited Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 458 | Counting Triangles in Data Streams | 2006 | PODS | 0.0001810876 |
| 594 | Massive Graph Triangulation | 2013 | SIGMOD | 0.00015979077 |
| 1,103 | Counting and Sampling Triangles from a Graph Stream | 2013 | VLDB | 0.000121583 |
| 2,183 | The Input/Output Complexity of Triangle Enumeration | 2014 | PODS | 9.0066814e-05 |
| 2,792 | All-Distances Sketches, Revisited: HIP Estimators for Massive Graphs Analysis | 2014 | PODS | 8.1191853e-05 |
| 3,393 | OPT: A New Framework for Overlapped and Parallel Triangulation in Large-scale Graphs | 2014 | SIGMOD | 7.45141e-05 |
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