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

Date and Time: Thursday, April 09, 2015, 12:15 pm

Duration: 45 minutes

Location: OAT S15/S16/S17

Speaker: Alexandra Maximova

Combinatorial algorithms for Boolean Matrix Multiplication

Boolean Matrix Multiplication is one of the most fundamental problems in computer science. Two lines of theoretical research have been explored to solve this problem: algebraic algorithms, exploiting a ring structure and clever cancellations, and combinatorial algorithms, exploiting combinatorial redundances arising from representing matrices as graphs, often invoking lookup tables. In this talk I will summarize the findings of the "combinatorial" line of research, with particular focus on the recent algorithm by Timothy Chan [1].

[1] Timothy M. Chan. 2015. Speeding up the four Russians algorithm by about one more logarithmic factor. In Proceedings of the Twenty-Sixth Annual ACM-SIAM Symposium on Discrete Algorithms (SODA '15). SIAM 212-217.

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