Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Date and Time: Tuesday, April 26, 2022, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Kalina Petrova

Size-Ramsey numbers of subcubic graphs

The size-Ramsey number of a graph H is the smallest number of edges a graph G can have such that for every two-coloring of its edges, there is a monochromatic copy of H in G. Recently, Conlon, Nenadov and Trujic showed that if H is a graph of maximum degree three on n vertices, then the size-Ramsey number of H is O(n^{8/5}). This bound is best possible if the host graph G is a vanilla binomial random graph. We break this barrier using a novel host graph construction. This is joint work with Nemanja Draganic.

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