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arXiv · 1711.07567

Edge Estimation with Independent Set Oracles

Paul Beame·Sariel Har-Peled·Sivaramakrishnan Natarajan Ramamoorthy·Cyrus Rashtchian·Makrand Sinha
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Abstract

We study the task of estimating the number of edges in a graph with access to only an independent set oracle. Independent set queries draw motivation from group testing and have applications to the complexity of decision versus counting problems. We give two algorithms to estimate the number of edges in an $n$-vertex graph, using (i) $\mathrm{polylog}(n)$ bipartite independent set queries, or (ii) ${n}^{2/3} \cdot\mathrm{polylog}(n)$ independent set queries.

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Paul Beame, Sariel Har-Peled, Sivaramakrishnan Natarajan Ramamoorthy, Cyrus Rashtchian, Makrand Sinha. 2017-11-20. Edge Estimation with Independent Set Oracles. https://arxiv.org/abs/1711.07567

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