Articles liés à Combinatorics and Graph Theory
Synopsis
There are certain rules that one must abide by in order to create a successful sequel. — Randy Meeks, from the trailer to Scream 2 While we may not follow the precise rules that Mr. Meeks had in mind for s- cessful sequels, we have made a number of changes to the text in this second edition. In the new edition, we continue to introduce new topics with concrete - amples, we provide complete proofs of almost every result, and we preserve the book’sfriendlystyle andlivelypresentation,interspersingthetextwith occasional jokes and quotations. The rst two chapters, on graph theory and combinatorics, remain largely independent, and may be covered in either order. Chapter 3, on in nite combinatorics and graphs, may also be studied independently, although many readers will want to investigate trees, matchings, and Ramsey theory for nite sets before exploring these topics for in nite sets in the third chapter. Like the rst edition, this text is aimed at upper-division undergraduate students in mathematics, though others will nd much of interest as well. It assumes only familiarity with basic proof techniques, and some experience with matrices and in nite series. The second edition offersmany additionaltopics for use in the classroom or for independentstudy. Chapter 1 includesa new sectioncoveringdistance andrelated notions in graphs, following an expanded introductory section. This new section also introduces the adjacency matrix of a graph, and describes its connection to important features of the graph.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Présentation de l'éditeur
The second edition of this text on combinatorics and graph theory includes new material on an array topics ranging from Eulerian trails to combinatorial geometry to the pigeonhole principle. There are also numerous new exercises throughout the book.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Combinatorics and Graph Theory (Undergraduate Texts in Mathematics)
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Springer (edition Softcover reprint of hardcover 2nd ed. 2008), 2010
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ISBN 13 : 9781441927231
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Combinatorics and Graph Theory (Undergraduate Texts in Mathematics)
Edité par
Springer (edition Softcover reprint of hardcover 2nd ed. 2008), 2010
ISBN 10 : 1441927239
ISBN 13 : 9781441927231
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Combinatorics and Graph Theory (Undergraduate Texts in Mathematics)
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ISBN 10 : 1441927239
ISBN 13 : 9781441927231
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Combinatorics and Graph Theory (Undergraduate Texts in Mathematics)
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Springer, 2010
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ISBN 13 : 9781441927231
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Combinatorics and Graph Theory (Undergraduate Texts in Mathematics)
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Combinatorics and Graph Theory (Undergraduate Texts in Mathematics)
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ISBN 13 : 9781441927231
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