TAILIEUCHUNG - [ Toán Rời Rạc ] Graph Theory 2005 - Reinhard Diestel

Tài liệu "[ Toán Rời Rạc ] Graph Theory 2005 - Reinhard Diestel " mang tính chất tham khảo, giúp ích cho các bạn tự học, ôn thi, với phương pháp học hay, thú vị, rèn luyện kỹ năng giải đề, nâng cao vốn kiến thức cho các bạn trong các kỳ thi sắp tới. Tác giả hy vọng tài liệu này sẽ giúp ích cho các bạn. | Reinhard Diestel Graph Theory Electronic Edition 2005 Springer-Verlag Heidelberg New York 1997 2000 2005 This is an electronic version of the third 2005 edition of the above Springer book from their series Graduate Texts in Mathematics vol. 173. The cross-references in the text and in the margins are active links click on them to be taken to the appropriate page. The printed edition of this book can be ordered via http home diestel books where also errata reviews etc. are posted. Substantial discounts and free copies for lecturers are available for course adoptions see here. Preface Almost two decades have passed since the appearance of those graph theory texts that still set the agenda for most introductory courses taught today. The canon created by those books has helped to identify some main fields of study and research and will doubtless continue to influence the development of the discipline for some time to come. Yet much has happened in those 20 years in graph theory no less than elsewhere deep new theorems have been found seemingly disparate methods and results have become interrelated entire new branches have arisen. To name just a few such developments one may think of how the new notion of list colouring has bridged the gulf between invariants such as average degree and chromatic number how probabilistic methods and the regularity lemma have pervaded extremal graph theory and Ramsey theory or how the entirely new field of graph minors and tree-decompositions has brought standard methods of surface topology to bear on long-standing algorithmic graph problems. Clearly then the time has come for a reappraisal what are today the essential areas methods and results that should form the centre of an introductory graph theory course aiming to equip its audience for the most likely developments ahead I have tried in this book to offer material for such a course. In view of the increasing complexity and maturity of the subject

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