Hamiltonian surfaces

Hamiltonian surfaces

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Bhargav Narayanan, Rutgers University
Fine Hall 224

I will talk about a recently proved Dirac-type theorem for surfaces: for any connected, closed 2-manifold S, any 3-uniform hypergraph on n vertices in which each pair of vertices belongs to n/3 + o(n) or more edges contains a Hamiltonian copy of S, and this is tight. Joint work with Georgakopoulos, Haslegrave and Montgomery.