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

Date and Time: Thursday, October 21, 2010, 12:15 pm

Duration: This information is not available in the database

Location: OAT S15/S16/S17

Speaker: Gabriel Nivasch

Avoiding forbidden sequences and matrices.

"Generalized Davenport-Schinzel sequences" are sequences of symbols that avoid some fixed subsequence (or "forbidden pattern"). The problem is to make the sequence as long as possible, given a bound n on its alphabet size.

A similar problem exists for 0/1-matrices: Given a forbidden 0/1-submatrix A and an integer n, we want to build an nxn 0/1-matrix M with as many 1's as possible, avoiding A as a submatrix. (For M to contain A as a submatrix, the 1's of A must match to 1's of M, but the 0's of A can match to either 0's or 1's of M).

We survey recent results on these two problems and the connection between them.

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