Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Thursday, December 21, 2006, 12:15 pm

Duration: This information is not available in the database

Location: OAT S15/S16/S17

Speaker: Tibor Szabó

Polychromatic edge-colorings of the hypercube (Part II)

No attendance of Part I is needed to follow this talk, everything will be kept self-contained.

A p-coloring of the edges of the n-dimensional hypercube graph Q_n is called d-polychromatic if all p colors are used in all the d-dimensional subcubes of Q_n. For example all edges receiving the same color defines a polychromatic coloring in 1 color. Naturally, we are interested in using as many colors as possible in a polychromatic coloring.

This problem was raised in a joint paper with Noga Alon and Anja Krech (in relation to Turan-type problems within the hypercube) and was solved recently by David Offner who is a graduate student at Carnegie Mellon University. In the talk we hope to fully explain his solution.

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