# A Simple Sublinear-Time Algorithm for Counting Arbitrary Subgraphs via Edge Sampling

@inproceedings{Assadi2019ASS,
title={A Simple Sublinear-Time Algorithm for Counting Arbitrary Subgraphs via Edge Sampling},
author={Sepehr Assadi and Mikhail Kapralov and Sanjeev Khanna},
booktitle={ITCS},
year={2019}
}
• Published in ITCS 1 November 2018
• Mathematics, Computer Science
In the subgraph counting problem, we are given a input graph $G(V, E)$ and a target graph $H$; the goal is to estimate the number of occurrences of $H$ in $G$. Our focus here is on designing sublinear-time algorithms for approximately counting occurrences of $H$ in $G$ in the setting where the algorithm is given query access to $G$. This problem has been studied in several recent papers which primarily focused on specific families of graphs $H$ such as triangles, cliques, and stars. However…
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