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Graph Theory (Graduate Texts in Mathematics, nr. 173)

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en Limba Engleză Carte Hardback – 30 Jun 2017
This standard textbook of modern graph theory, now in its fifth edition, combines the authority of a classic with the engaging freshness of style that is the hallmark of active mathematics. It covers the core material of the subject with concise yet reliably complete proofs, while offering glimpses of more advanced methods in each field by one or two deeper results, again with proofs given in full detail.


The book can be used as a reliable text for an introductory course, as a graduate text, and for self-study.

From the reviews:
“This outstanding book cannot be substituted with any other book on the present textbook market. It has every chance of becoming the standard textbook for graph theory.” Acta Scientiarum Mathematiciarum 
“Deep, clear, wonderful. This is a serious book about the heart of graph theory. It has

depth and integrity.” Persi Diaconis & Ron Graham, SIAM Review
“The book has received a very enthusiastic reception, which it amply deserves. A masterly elucidation of modern graph theory.” 

Bulletin of the Institute of Combinatorics and its Applications
“Succeeds dramatically ... a hell of a good book.” MAA Reviews “A highlight of the book is what is by far the best account in print of the Seymour-Robertson theory of graph minors.” Mathematika

“ ... like listening to someone explain mathematics.” Bulletin of the AMS






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Specificații

ISBN-13: 9783662536216
ISBN-10: 3662536218
Pagini: 443
Dimensiuni: 155 x 235 x 31 mm
Greutate: 0.84 kg
Ediția: 5th ed. 2017
Editura: Springer
Colecția Springer
Seria Graduate Texts in Mathematics

Locul publicării: Berlin, Heidelberg, Germany

Cuprins

The Basics.- Matching Covering and Packing.- Connectivity.- Planar Graphs.- Colouring.- Flows.- Extremal Graph Theory.- Infinite Graphs.- Ramsey Theory for Graphs.- Hamilton Cycles.- Random Graphs.- Graph Minors.

Recenzii

“RD’s attempt provides readers a very valuable and rich learning experience. I will definitely recommend this book to my students and colleagues for knowledge enrichment and advancement.” (V. Yegnanarayanan, zbMATH 1375.05002, 2018)

Notă biografică

Reinhard Diestel is Professor at the Department of Mathematics at the University of Hamburg.

Textul de pe ultima copertă

This standard textbook of modern graph theory, now in its fifth edition, combines the authority of a classic with the engaging freshness of style that is the hallmark of active mathematics. It covers the core material of the subject with concise yet reliably complete proofs, while offering glimpses of more advanced methods in each field by one or two deeper results, again with proofs given in full detail.
The book can be used as a reliable text for an introductory course, as a graduate text, and for self-study.
From the reviews:
“This outstanding book cannot be substituted with any other book on the present textbook market. It has every chance of becoming the standard textbook for graph theory.”Acta Scientiarum Mathematiciarum
“Deep, clear, wonderful. This is a serious book about the heart of graph theory. It has depth and integrity. ”Persi Diaconis & Ron Graham, SIAM Review
“The book has received a very enthusiastic reception, which it amply deserves. A masterly elucidation of modern graph theory.” Bulletin of the Institute of Combinatorics and its Applications
“Succeeds dramatically ... a hell of a good ook.” MAA Reviews
“A highlight of the book is what is by far the best account in print of the Seymour-Robertson theory of graph minors.” Mathematika
“ ... like listening to someone explain mathematics.” Bulletin of the AMS

Caracteristici

Standard textbook of modern graph theory
Covers all the basic material in full detail
Introduces and illustrates the more advanced methods of that field