Theoretically and Practically Efficient Resistance Distance Computation on Large Graphs
Summary: Introduces Lanczos-based algorithms for resistance-distance computation: global Lanczos Iteration runs in Õ(√κm), while local Lanczos Push is graph-size independent. Both improve κ-dependence over SOTA and achieve strong empirical speedups and accuracy. (summarized by gpt-5.6-luna on Jul 24 2026)
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Authors
- 1. Yichun Yang (Beijing Institute of Technology)
- 2. Longlong Lin (Southwest University)
- 3. Rong-Hua Li (Beijing Institute of Technology)
- 4. Meihao Liao (Beijing Institute of Technology)
- 5. Guoren Wang (Beijing Institute of Technology)
BibTeX Citation
@article{yang_vldb26,
title = {{Theoretically and Practically Efficient Resistance Distance Computation on Large Graphs}},
author = {Yang, Yichun and Lin, Longlong and Li, Rong-Hua and Liao, Meihao and Wang, Guoren},
journal = {PVLDB},
series = {{VLDB} '26},
volume = {19},
number = {8},
pages = {1688--1700},
doi = {10.14778/3811243.3811244},
url = {https://doi.org/10.14778/3811243.3811244},
year = {2026}
}
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Outgoing Citations (Sorted by Pagerank)
Showing 9 of 9 cited papers.
Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank | Cited Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 2,173 | Unifying the Global and Local Approaches: An Efficient Power Iteration with Forward Push | 2021 | SIGMOD | 9.0375634e-05 |
| 4,651 | Density-based Place Clustering in Geo-Social Networks | 2014 | SIGMOD | 6.585234e-05 |
| 5,139 | Edge-based Local Push for Personalized PageRank | 2022 | VLDB | 6.3495351e-05 |
| 5,157 | Efficient Estimation of Pairwise Effective Resistance | 2023 | SIGMOD | 6.3409526e-05 |
| 5,913 | Efficient Estimation of Heat Kernel PageRank for Local Clustering | 2019 | SIGMOD | 6.0439971e-05 |
| 7,861 | Efficient Resistance Distance Computation: the Power of Landmark-based Approaches | 2023 | SIGMOD | 5.5302333e-05 |
| 8,911 | Efficient and Provable Effective Resistance Computation on Large Graphs: an Index-based Approach | 2024 | SIGMOD | 5.3483178e-05 |
| 9,769 | Efficient Index Maintenance for Effective Resistance Computation on Evolving Graphs | 2025 | SIGMOD | 5.2209769e-05 |
| 10,366 | Efficient Exact Resistance Distance Computation on Small-Treewidth Graphs: a Labelling Approach | 2026 | SIGMOD | 5.093636e-05 |
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