Extremal Combinatorics

This book is as an introduction to 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 ...

Extremal Combinatorics

This is a concise, up-to-date introduction to extremal combinatorics for non-specialists. Strong emphasis is made on theorems with particularly elegant and informative proofs which may be called the gems of the theory. A wide spectrum of the most powerful combinatorial tools is presented, including methods of extremal set theory, the linear algebra method, the probabilistic method and fragments of Ramsey theory. A thorough discussion of recent applications to computer science illustrates the inherent usefulness of these methods.

More Books:

Extremal Combinatorics
Language: en
Pages: 378
Authors: Stasys Jukna
Categories: Computers
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

This is a concise, up-to-date introduction to extremal combinatorics for non-specialists. Strong emphasis is made on theorems with particularly elegant and informative proofs which may be called the gems of the theory. A wide spectrum of the most powerful combinatorial tools is presented, including methods of extremal set theory, the
Extremal Finite Set Theory
Language: en
Pages: 336
Authors: Daniel Gerbner, Balazs Patkos
Categories: Mathematics
Type: BOOK - Published: 2018-10-12 - Publisher: CRC Press

Extremal Finite Set Theory surveys old and new results in the area of extremal set system theory. It presents an overview of the main techniques and tools (shifting, the cycle method, profile polytopes, incidence matrices, flag algebras, etc.) used in the different subtopics. The book focuses on the cardinality of
Surveys in Combinatorics 2022
Language: en
Pages: 259
Authors: Anthony Nixon, Sean Prendiville
Categories: Mathematics
Type: BOOK - Published: 2022-05-31 - Publisher: Cambridge University Press

This volume contains surveys of current research directions in combinatorics written by leading researchers in their fields.
Recent Trends in Combinatorics
Language: en
Pages: 778
Authors: Andrew Beveridge, Jerrold R. Griggs, Leslie Hogben, Gregg Musiker, Prasad Tetali
Categories: Mathematics
Type: BOOK - Published: 2016-04-12 - Publisher: Springer

This volume presents some of the research topics discussed at the 2014-2015 Annual Thematic Program Discrete Structures: Analysis and Applications at the Institute for Mathematics and its Applications during Fall 2014, when combinatorics was the focus. Leading experts have written surveys of research problems, making state of the art results
Probability and Statistics
Language: en
Pages: 332
Authors: Cain Mckay
Categories: Mathematics
Type: BOOK - Published: 2019-01-30 - Publisher: Scientific e-Resources

Books about Probability and Statistics