1.

Record Nr.

UNINA9910254274503321

Autore

Diestel Reinhard

Titolo

Graph Theory / / by Reinhard Diestel

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2017

ISBN

9783662536216

Edizione

[5th ed. 2017.]

Descrizione fisica

1 online resource (XVIII, 428 p. 119 illus.)

Collana

Graduate Texts in Mathematics, , 2197-5612 ; ; 173

Disciplina

511.5

Soggetti

Discrete mathematics

Computer science - Mathematics

Discrete Mathematics

Mathematical Applications in Computer Science

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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.

Sommario/riassunto

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.