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A Fractional Analogue of Brooks' Theorem

✍ Scribed by King, Andrew D.; Lu, Linyuan; Peng, Xing


Book ID
120079754
Publisher
Society for Industrial and Applied Mathematics
Year
2012
Tongue
English
Weight
319 KB
Volume
26
Category
Article
ISSN
0895-4801

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One of the best-known results of extremal combinatorics is Sperner's theorem, which asserts that the maximum size of an antichain of subsets of an n-element set equals the binomial coefficient n n/2 , that is, the maximum of the binomial coefficients. In the last twenty years, Sperner's theorem has