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

1FAWN

Witness Sets and Isolationder a related problem of how to . an object within a given universum according to its weight. Finally, we will describe the so-called “dictator paradox” saying that, if the society fulfills some simple “democracy axioms,” then there will always be an individual (a dictator?) whose options prevail against all options.

Impugn

Yourself

Textbook 20011st edition 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

ELUDE

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 the corresponding problem is discussed.

CEDE

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.

Terrace

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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Repetitions

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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Anemia

https://doi.org/10.1007/978-3-662-04650-0Diskrete Mathematik; Kombinatorik; algorithms; combinatorics; computational complexity; discrete mathemat