Spanning regular subgraphs of random graphs: sharp thresholds

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• Maksim Zhukovskii (Sheffield)
• Thursday 02 March 2023, 14:30-15:30
• MR12.

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Given a constant d and a sequence of d-regular graphs F_n, what is the threshold probability for containing a spanning subgraph isomorphic to F_n? In the talk, a fairly optimal answer to this question will be presented. In particular, it proves the conjecture of Kahn, Narayanan and Park on a sharp threshold for the containment of a square of a Hamilton cycle. It also implies sharp thresholds for (asymptotically) almost all d-regular graphs F_n.

This talk is part of the Combinatorics Seminar series.

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