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Lectures on Advances in Combinatorics



Lectures on Advances in Combinatorics
Publisher: Springer | pages: 314 | 2008 | ISBN: 3540786015 | File type: PDF | 3 mb

The main focus of these lectures is basis extremal problems and inequalities �?two sides of the same coin. Additionally they prepare well for approaches and methods useful and applicable in a broader mathematical context. Highlights of the book include a solution to the famous 4m-conjecture of Erdös/Ko/Rado 1938, one of the oldest problems in combinatorial extremal theory, an answer to a question of Erdös (1962) in combinatorial number theory "What is the maximal cardinality of a set of numbers smaller than n with no k 1 of its members pair wise relatively prime?", and the discovery that the AD-inequality implies more general and sharper number theoretical inequalities than for instance Behrend's inequality.

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