• Jeong Ok Choi (최정옥), Various game-theoretic models on graphs

    Room B232 IBS (기초과학연구원)

    We introduce some of well-known game-theoretic graph models and related problems. A contagion game model explains how an innovation diffuses over a given network structure and focuses on finding conditions on which structure an innovation becomes epidemic. Regular infinite graphs are interesting examples to explore. We show that regular infinite trees make an innovation least

  • Jeong Ok Choi (최정옥), Invertibility of circulant matrices of arbitrary size

    Room B232 IBS (기초과학연구원)

    In this talk, we present sufficient conditions to guarantee the invertibility of rational circulant matrices with any given size. These sufficient conditions consist of linear combinations in terms of the entries in the first row with integer coefficients. Using these conditions we show the invertibility of some family of circulant matrices with particular forms of