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Titlebook: Extremal Combinatorics; With Applications in Stasys Jukna Textbook 20011st edition Springer-Verlag Berlin Heidelberg 2001 Diskrete Mathemat

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Stasys JuknaProvides an introductory, self-contained and up-to-date source in extremal combinatorics suitable for a broad community: mathematicians, computer scientists, and engineers.Covers a substantial part of
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Springer-Verlag Berlin Heidelberg 2001
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Alexander Chursin,Yuri Vlasov,Yury Makarovimum) possible cardinality of a system of its subsets satisfying certain assumptions. To get a feeling about what kind of problems this book deals with, we list several typical examples. (Although long, the list is far from being exhaustive.) The number(s) in brackets indicate the section(s), where
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https://doi.org/10.1007/978-981-99-2828-6he lectures are hold in parallel, in two different places and at the same time. Every club would like each of the lectures be visited by at least one of its members. Is it possible to arrange the attendance of inhabitants so that every club will know the contents of both lectures? This is a typical
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https://doi.org/10.1007/978-3-7908-2076-8form family, some highly regular configurations, called “sunflowers,” must occur, regardless of the size of the universe. In this chapter we will consider this result as well as some of its modifications and applications.
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SpringerBriefs in Digital Spacesamily reflects some kind of “dependence” between them. In this chapter we will study the weakest kind of this dependence — the members are required to be non-disjoint. A family is . if any two of its sets have a non-empty intersection.
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https://doi.org/10.1007/978-3-658-35507-4In this section we give the notation that shall be standard throughout the book.
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