• Jie Han, Spanning trees in expanders

    Zoom ID: 224 221 2686 (ibsecopro)

    We consider the spanning tree embedding problem in dense graphs without bipartite holes and sparse graphs. In 2005, Alon, Krivelevich and Sudakov asked for determining the best possible spectral gap forcing an $(n,d,\lambda)$-graph to be $T(n, \Delta)$-universal. In this talk, we introduce our recent work on this conjecture.

  • Jie Han (韩杰), Perfect matchings in dense uniform hypergraphs

    Room B332 IBS (기초과학연구원)

    There has been a raising interest on the study of perfect matchings in uniform hypergraphs in the past two decades, including extremal problems and their algorithmic versions. I will introduce the problems and some recent developments.