Shotgun Assembly of the Hypercube

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• Michal Przykucki (University of Oxford)
• Tuesday 20 March 2018, 15:00-16:00
• Physics West 106.

If you have a question about this talk, please contact Allan Lo.

In recent work, Mossel and Ross, and others have considered the shotgun assembly problem in various settings. We consider shotgun assembly of the hypercube – given the r-balls of a random q colouring of the vertices, can we reconstruct the colouring up to an automorphism with high probability? We show that for 2-balls, q=2 is sufficient, and that for 1-balls q ≥ n ^{{ 2 + Ω( log(n)}{1/2} )} is sufficient.

Joint work with Alexander Roberts and Alex Scott.

This talk is part of the Combinatorics and Probability seminar series.

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• Combinatorics and Probability seminar
• Physics West 106
• School of Mathematics events

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