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Graduate Student Combinatorics Seminar Sponsored by DIMACS

Coloring hypercubes

Jinyoung Park - Rutgers University

Location:  GSL
Date & time: Wednesday, 25 April 2018 at 12:15PM - 1:15PM

Abstract : We discuss the number of proper colorings of the hypercube given q colors. When q=2, it is easy to see that there are only 2 possible colorings. However, it is already highly nontrivial to figure out the number of colorings when q=3. In this talk, I will sketch how we count the number of 3-colorings, mainly focusing on how entropy can be used in counting.

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