*********************************** * Princeton Discrete Math Seminar * *********************************** Speaker: Nicolas Trotignon (ENS Lyon) Thursday 26th March, 3:00 online at https://princeton.zoom.us/j/810888723 Title : Rankwidth, graphs on four vertices, and even holes Abstract : Jointly with Hoang, we proved that there exist graphs of arbitrarily large rankwidth that can be partitioned into three cliques, such that in each clique, vertices are linearly ordered by the inclusion relation on their neighborhood. During the talk, we will recall what rankwidth is, and describe the construction. The end of the talk will be devoted to explaining how this construction helps to understand several problems, such as coloring when a graph on four vertices is excluded as an induced subgraph, and the structure of even-hole-free-graphs.  ---------------------------------- Next week: TBA Anyone wishing to be added to or removed from this mailing list should contact Paul Seymour (pds@math.princeton.edu)