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The Cartographer
Edge Estimation with Independent Set Oracles
November 20, 2017 Β· Declared Dead Β· π Information Technology Convergence and Services
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Authors
Paul Beame, Sariel Har-Peled, Sivaramakrishnan Natarajan Ramamoorthy, Cyrus Rashtchian, Makrand Sinha
arXiv ID
1711.07567
Category
cs.DS: Data Structures & Algorithms
Citations
62
Venue
Information Technology Convergence and Services
Last Checked
3 months ago
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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