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

Date and Time: Tuesday, September 29, 2015, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Jan Volec

Rainbow triangles in 3-edge-colored graphs

We show that the maximum number of rainbow triangles in large 3-edge-colored graphs is attained by the following construction: take a blow-up of the properly 3-edge-colored complete graph on four vertices, where the sizes of every two blobs differ by at most 1, and inside every blob place an extremal construction on the corresponding number of vertices. In particular, this implies that the maximum density of rainbow triangles in 3-edge-colored graphs is asymptotically equal to 2/5. This question was originally raised by Erdos and Sos. Joint work with Jozef Balogh, Ping Hu, Bernard Lidicky, Florian Pfender, and Michael Young.

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