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Extremal combinatorics - a field of combinatorial mathematics which has undergone a period of spectacular growth in recent decades. The word "extremal" comes from the nature of problems this field deals with: if a collection of finite objects (numbers, graphs, vectors, sets, etc.) satisfies certain restrictions, how large or how small can it be?
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Source: [http://lovelace.thi.informatik.uni-frankfurt.de/~jukna/EC_Book/preface.html]
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