عنوان

Ramsey theory :

شابک

3110576635

شابک

3110576708

شابک

9783110576634

شابک

9783110576702

شابک اشتباه

3110576511

شابک اشتباه

9783110576511

عنوان اصلي

Ramsey theory :

نام عام مواد

[Book]

ساير اطلاعات عنواني

unsolved problems and results /

نام نخستين پديدآور

Xiaodong Xu, Meilian Liang, Haipeng Luo.

محل نشرو پخش و غیره

Boston :

نام ناشر، پخش کننده و غيره

De Gruyter,

تاریخ نشرو بخش و غیره

[2018]

نام خاص و کميت اثر

1 online resource

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

Some definitions and notations -- Ramsey theory -- Bi-color diagonal classical Ramsey numbers -- Paley graphs and lower bounds for r(k; k) -- Bi-color o-diagonal classical Ramsey numbers -- Multicolor classical Ramsey numbers -- Generalized Ramsey numbers -- Folkman numbers -- The Erdos-Hajnal conjecture -- Other Ramsey type problems in graph theory -- On Van der Waerden numbers and Szemeredi's theorem -- More problems of Ramsey type in additive number theory -- Sidon-ramsey numbers -- Games in Ramsey theory -- Local Ramsey theory -- Set-coloring Ramsey theory -- Other problems and conjectures -- Epilogue.

بدون عنوان

0

متن يادداشت

Key problems and conjectures have played an important role in promoting the development of Ramsey theory, a field where great progress has been made during the past two decades, with some old problems solved and many new problems proposed. The present book will be helpful to readers who wish to learn about interesting problems in Ramsey theory, to see how they are interconnected, and then to study them in depth. This book is the first problem book of such scope in Ramsey theory. Many unsolved problems, conjectures and related partial results in Ramsey theory are presented, in areas such as extremal graph theory, additive number theory, discrete geometry, functional analysis, algorithm design, and in other areas. Most presented problems are easy to understand, but they may be difficult to solve. They can be appreciated on many levels and by a wide readership, ranging from undergraduate students majoring in mathematics to research mathematicians. This collection is an essential reference for mathematicians working in combinatorics and number theory, as well as for computer scientists studying algorithms. ContentsSome definitions and notationsRamsey theoryBi-color diagonal classical Ramsey numbersPaley graphs and lower bounds for R(k, k)Bi-color off-diagonal classical Ramsey numbersMulticolor classical Ramsey numbersGeneralized Ramsey numbersFolkman numbersThe Erdős-Hajnal conjecture Other Ramsey-type problems in graph theory On van der Waerden numbers and Szemeredi's theorem More problems of Ramsey type in additive number theory Sidon-Ramsey numbers Games in Ramsey theory Local Ramsey theory Set-coloring Ramsey theory Other problems and conjectures.

عنوان

Ramsey theory.

شماره استاندارد بين المللي کتاب و موسيقي

3110576511

موضوع مستند نشده

Combinatorial analysis.

موضوع مستند نشده

Graph theory.

موضوع مستند نشده

Ramsey theory.

موضوع مستند نشده

Combinatorial analysis.

موضوع مستند نشده

Graph theory.

موضوع مستند نشده

MATHEMATICS-- General.

موضوع مستند نشده

Ramsey theory.

موضوع مستند نشده

MAT-- 000000

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Xu, Xiaodong, (Physicist)

مستند نام اشخاص تاييد نشده

Liang, Meilian

مستند نام اشخاص تاييد نشده

Luo, Haipeng

تاريخ عمليات

20200823095837.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y