Triangle counting in large networks: a review

M Al Hasan, VS Dave - Wiley Interdisciplinary Reviews: Data …, 2018 - Wiley Online Library
… We also present experimental results of performance comparison among a set of approximate
triangle counting methods built under a unified implementation framework. Finally, we …

Approximate triangle counting

CE Tsourakakis, MN Kolountzakis, GL Miller - arXiv preprint arXiv …, 2009 - arxiv.org
Triangle counting is an important problem in graph … triangle counting is an expensive
computation. In this paper we present the analysis of a practical sampling algorithm for counting

Approximate triangle counting via sampling and fast matrix multiplication

J Tětek - arXiv preprint arXiv:2104.08501, 2021 - arxiv.org
… We also consider the problem of approximate triangle counting in sparse graphs, parameterizing
by the number of edges m. The best known algorithm runs in time O(m3/2 …

Approximate triangle counting algorithms on multi-cores

M Rahman, M Al Hasan - 2013 IEEE International Conference …, 2013 - ieeexplore.ieee.org
triangle counting on such networks, researchers in recent years have adopted approximate
counting … In this work, we propose an approximate triangle counting algorithm, that runs on …

Sliding window-based approximate triangle counting over streaming graphs with duplicate edges

X Gou, L Zou - Proceedings of the 2021 International Conference on …, 2021 - dl.acm.org
… However, approximately counting triangles in real-world streaming graphs with edge …
SWTC algorithm to address approximate sliding-window triangle counting problem in streaming …

Efficient algorithms for large-scale local triangle counting

L Becchetti, P Boldi, C Castillo, A Gionis - ACM Transactions on …, 2010 - dl.acm.org
… the problem of approximate local triangle counting in large … the problem of approximate local
triangle counting with a focus … ), we propose two approximation algorithms, which are based …

Colorful triangle counting and a mapreduce implementation

R Pagh, CE Tsourakakis - Information Processing Letters, 2012 - Elsevier
count is not crucial but rather a fast, high quality estimate. Most of the work on approximate
triangle counting is … state-of-the-art approximate counting method relies on a hybrid algorithm …

Approximately counting triangles in sublinear time

T Eden, A Levi, D Ron, C Seshadhri - SIAM Journal on Computing, 2017 - SIAM
… for approximate triangle counting [4, 5, 14, 15, 33, 43, 44, 32, 46, 47, 48, 50, 51]. Triangle
counting … In this work, we focus on sublinear algorithms for triangle counting. We assume the …

Sliding window-based approximate triangle counting with bounded memory usage

X Gou, L Zou - The VLDB Journal, 2023 - Springer
… However, approximately counting triangles in real-world … address approximate sliding-window
triangle counting problem … optimization techniques, vision counting to avoid computation …

[PDF][PDF] Counting triangles in large graphs using randomized matrix trace estimation

H Avron - Workshop on Large-scale Data Mining: Theory and …, 2010 - math.tau.ac.il
… randomized algorithm for approximating the number of … -approximation, where ρ(G) is a
measure of the triangle sparsity … -of-the-art approximate triangle counting methods both in terms …