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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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书目名称Extremal Combinatorics
副标题With Applications in
编辑Stasys Jukna
视频video
概述Provides 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
丛书名称Texts in Theoretical Computer Science. An EATCS Series
图书封面Titlebook: Extremal Combinatorics; With Applications in Stasys Jukna Textbook 20011st edition Springer-Verlag Berlin Heidelberg 2001 Diskrete Mathemat
描述Combinatorial mathematics has been pursued since time immemorial, and at a reasonable scientific level at least since Leonhard Euler (1707-1783). It ren­ dered many services to both pure and applied mathematics. Then along came the prince of computer science with its many mathematical problems and needs - and it was combinatorics that best fitted the glass slipper held out. Moreover, it has been gradually more and more realized that combinatorics has all sorts of deep connections with "mainstream areas" of mathematics, such as algebra, geometry and probability. This is why combinatorics is now apart of the standard mathematics and computer science curriculum. This book is as an introduction to extremal combinatorics - a field of com­ binatorial mathematics which has undergone aperiod 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? For example, how many people can we invite to a party where among each three people there are two who know each other and two who don‘t know each o
出版日期Textbook 20011st edition
关键词Diskrete Mathematik; Kombinatorik; algorithms; combinatorics; computational complexity; discrete mathemat
版次1
doihttps://doi.org/10.1007/978-3-662-04650-0
isbn_ebook978-3-662-04650-0Series ISSN 1862-4499 Series E-ISSN 1862-4502
issn_series 1862-4499
copyrightSpringer-Verlag Berlin Heidelberg 2001
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Coloringshe 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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Sunflowersform 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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1862-4499 puter scientists, and engineers.Covers a substantial part ofCombinatorial mathematics has been pursued since time immemorial, and at a reasonable scientific level at least since Leonhard Euler (1707-1783). It ren­ dered many services to both pure and applied mathematics. Then along came the prince o
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