Combinatorics and graph theory

This book covers a wide variety of topics in combinatorics and graph theory. It includes results and problems that cross subdisciplines, emphasizing relationships between different areas of mathematics. In addition, recent results appear in the text, illustrating the fact that mathematics is a livin...

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محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Harris, John M., 1969-, Hirst, Jeffry L., 1957-...., mathématicien (مؤلف), Mossinghoff, Michael J., 1964-...., mathématicien (مؤلف), Hirst, Jeffry L. (مؤلف), Mossinghoff, Michael (مؤلف)
التنسيق: Livre numérique
اللغة:Anglais
منشور في: New York, NY : Springer New York [20..].
Cham : Springer Nature
سلاسل:Undergraduate Texts in Mathematics
الموضوعات:
الوصول للمادة أونلاين:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
ملاحظة: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Combinatorics and graph theory, John M. Harris, Jeffry L. Hirst, Michael J. Mossinghoff, 2nd edition, New York, Springer, 2008, 1 vol. (XV-381 p.), Undergraduate texts in mathematics, 978-0-387-79710-6
الوصف
الملخص:This book covers a wide variety of topics in combinatorics and graph theory. It includes results and problems that cross subdisciplines, emphasizing relationships between different areas of mathematics. In addition, recent results appear in the text, illustrating the fact that mathematics is a living discipline. The second edition includes many new topics and features: New sections in graph theory on distance, Eulerian trails, and Hamiltonian paths. New material on partitions, multinomial coefficients, and the pigeonhole principle. Expanded coverage of Pólya Theory to include de Bruijn s method for counting arrangements when a second symmetry group acts on the set of allowed colors. Topics in combinatorial geometry, including Erdos and Szekeres development of Ramsey Theory in a problem about convex polygons determined by sets of points. Expanded coverage of stable marriage problems, and new sections on marriage problems for infinite sets, both countable and uncountable. Numerous new exercises throughout the book. About the First Edition: ". . . this is what a textbook should be! The book is comprehensive without being overwhelming, the proofs are elegant, clear and short, and the examples are well picked." Ioana Mihaila, MAA Reviews
وصف المادة:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
بيبلوغرافيا:Bibliogr. p. [355]-368 de l'édition imprimée. Index
ردمك:9780387797113
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Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017