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arXiv · 2007.13466

Improved 3-pass Algorithm for Counting 4-cycles in Arbitrary Order Streaming

Sofya Vorotnikova
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Abstract

The problem of counting small subgraphs, and specifically cycles, in the streaming model received a lot of attention over the past few years. In this paper, we consider arbitrary order insertion-only streams, improving over the state-of-the-art result on counting 4-cycles. Our algorithm computes a $(1+\epsilon)$-approximation by taking three passes over the stream and using space $O(\frac{m \log n}{\epsilon^2 T^{1/3}})$, where $m$ is the number of edges in the graph and $T$ is the number of 4-cycles.

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Sofya Vorotnikova. 2020-07-27. Improved 3-pass Algorithm for Counting 4-cycles in Arbitrary Order Streaming. https://arxiv.org/abs/2007.13466

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