Ramsey theory : unsolved problems and results

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 lear...

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Bibliographic Details
Main Authors: Xu, Xiaodong (Physicist), (Author), Liang, Meilian, (Author), Luo, Haipeng, (Author)
Format: eBook
Language: English
Published: Berlin ; Boston : De Gruyter, [2018]
Subjects:
teorie grafů
kombinatorika
graph theory
combinatorics
Ramseyho teorie
elektronické knihy
monografie
electronic books
monographs
ISBN: 9783110576634
9783110576702
9783110576511
Physical Description: 1 online zdroj

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Table of contents

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020 |a 9783110576634  |q (electronic book) 
020 |a 9783110576702  |q (electronic book) 
020 |z 9783110576511 
035 |a (OCoLC)1048948547 
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072 7 |a 519.1/.8  |x Kombinatorika. Teorie grafů. Matematická statistika. Operační výzkum. Matematické modelování  |2 Konspekt  |9 13 
080 |a 519.17  |2 MRF 
080 |a 519.1  |2 MRF 
080 |a (0.034.2:08)  |2 MRF 
080 |a (048.8)  |2 MRF 
100 1 |a Xu, Xiaodong  |c (Physicist),  |e author. 
245 1 0 |a Ramsey theory :  |b unsolved problems and results /  |c Xiaodong Xu, Meilian Liang, Haipeng Luo. 
264 1 |a Berlin ;  |a Boston :  |b De Gruyter,  |c [2018] 
300 |a 1 online zdroj 
336 |a text  |b txt  |2 rdacontent 
337 |a počítač  |b c  |2 rdamedia 
338 |a online zdroj  |b cr  |2 rdacarrier 
504 |a Obsahuje bibliografické odkazy a index. 
506 |a Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty 
520 |a 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.- Resumé vydavatel 
590 |a De Gruyter Online  |b De Gruyter Books Complete 
650 0 7 |a teorie grafů  |2 czenas  |7 ph126555 
650 0 7 |a kombinatorika  |2 czenas  |7 ph121739 
650 0 9 |a graph theory  |2 eczenas 
650 0 9 |a combinatorics  |2 eczenas 
653 |a Ramseyho teorie  
655 7 |a elektronické knihy  |7 fd186907  |2 czenas 
655 7 |a monografie  |7 fd132842  |2 czenas 
655 9 |a electronic books  |2 eczenas 
655 9 |a monographs  |2 eczenas 
700 1 |a Liang, Meilian,  |e author. 
700 1 |a Luo, Haipeng,  |e author. 
776 0 8 |i Print version:  |a Xu, Xiaodong (Physicist).  |t Ramsey theory.  |d Berlin ; Boston : De Gruyter, [2018]  |z 9783110576511  |z 3110576511  |w (DLC) 2018016483 
856 4 0 |u https://proxy.k.utb.cz/login?url=https://www.degruyter.com/openurl?genre=book&isbn=9783110576702  |y Plný text 
942 |2 udc 
992 |c EBOOK-TN  |c DeGruyter 

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