Fall 2018

Polynomial method and graph bootstrap percolation

Friday, Nov. 9, 2018 10:30 am12:00 pm PST

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Hamed Hatami (McGill University)


Room 116

We introduce a simple method for proving lower bounds for the size of the smallest percolating set in a certain graph bootstrap process. We apply this method to determine the sizes of the smallest percolating sets in multidimensional tori and multidimensional grids (in particular hypercubes). The former answers a question of Morrison and Noel, and the latter provides an alternative and simpler proof for one of their main results.

This is based on a joint work with Lianna Hambardzumyan and  Yingjie Qian.