Pósa-type results for Berge-hypergraphs

Description of video

Date: 4/7/22
Speaker :Salia Nika


     A Berge-cycle of length k in a hypergraph H is a sequence of distinct vertices and hyperedges v1,h1,v2,h2,,vk,hk  such that vi,vi+1hi for all i[k], indices taken modulo k. Füredi, Kostochka and Luo recently gave sharp Dirac-type minimum degree conditions that force non-uniform hypergraphs to have a Hamiltonian Berge-cycles.
    We give a sharp Pósa-type lower bound for r-uniform and non-uniform hypergraphs that force Hamiltonian Berge-cycles.