Paul Seymour, The Erdős-Hajnal conjecture is true for excluding a five-cycle
Zoom ID: 869 4632 6610 (ibsdimag)In an n-vertex graph, there must be a clique or stable set of size at least
10 events found.
O-joung Kwon (권오정), Directed tangles and applications
Room B232 IBS (기초과학연구원)The canonical tree-decomposition theorem, proved by Robertson and Seymour in their seminal graph minors series, turns out to be an extremely valuable tool in structural and algorithmic graph theory. In …
Andreas Holmsen, Discrete geometry in convexity spaces
Room B232 IBS (기초과학연구원)The notion of convexity spaces provides a purely combinatorial framework for certain problems in discrete geometry. In the last ten years, we have seen some progress on several open problems …
Rose McCarty, Vertex-minors and flooding immersions
Zoom ID: 869 4632 6610 (ibsdimag)An immersion of a graph H into a graph G sends edges of H into edge-disjoint trails of G. We say the immersion is flooding if every edge of G …
Ben Lund, Perfect matchings and derangements on graphs
Room B232 IBS (기초과학연구원)We show that each perfect matching in a bipartite graph G intersects at least half of the perfect matchings in G. This result has equivalent formulations in terms of the permanent …
Yusuke Kobayashi (小林 佑輔), An FPT Algorithm for Minimum Additive Spanner Problem
Zoom ID: 869 4632 6610 (ibsdimag)For a positive integer t and a graph G, an additive t-spanner of G is a spanning subgraph in which the distance between every pair of vertices is at most …
Tuan Tran, Minimum saturated families of sets
Room B232 IBS (기초과학연구원)A family
Dong Yeap Kang (강동엽), A proof of the Erdős-Faber-Lovász conjecture
Zoom ID: 869 4632 6610 (ibsdimag)A hypergraph is linear if every pair of two distinct edges shares at most one vertex. A longstanding conjecture by Erdős, Faber, and Lovász in 1972, states that the chromatic …
Ron Aharoni, Colorful KKM and multiple cakes division
Zoom ID: 869 4632 6610 (ibsdimag)In the "cake partition" problem n players have each a list of preferred parts for any partition of the interval ("cake") into n sub-intervals. Woodall, Stromquist and Gale proved independently that under mild …
Doowon Koh (고두원), On the cone restriction conjecture in four dimensions and applications in incidence geometry
Room B232 IBS (기초과학연구원)Main purpose of this talk is to introduce a connection between restriction estimates for cones and point-sphere incidence theorems in the finite field setting. First, we review the finite field …