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

Date and Time: Tuesday, May 06, 2014, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Andreas Noever

Online Ramsey Games in Random Graphs

Consider the following one player game: We start with an empty graph on n vertices. Each round an edge is selected u.a.r. and added to the graph. The player has to color it immediately ('online') with one of the r available colors. For how long can she avoid a monochromatic copy of a fixed graph F? For the two color case thresholds are known for a large number of graphs. For more than two colors no tight bounds were known. We prove a tight upper bound for an arbitrary number of colors for a class of graphs which includes cycles and cliques.

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