Combinatorics graph theory (339 Ergebnisse)

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Sprache: Englisch
Verlag: McGraw Hill (edition 1), 1994
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Sprache: Englisch
Verlag: McGraw Hill (edition 1), 1994
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Sprache: Englisch
Verlag: Springer (edition Second Edition 2008), 2008
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Sprache: Englisch
Verlag: Springer (edition Second Edition 2008), 2008
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Sprache: Englisch
Verlag: Springer-Verlag New York Inc., 2010
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Paperback. Zustand: Good. 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.…

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Sprache: Englisch
Verlag: Springer, 2008
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Sprache: Englisch
Verlag: Hindustan Book Agency, 2021
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Hardcover. Zustand: New. 2nd Edition. Contents: 1. Basic notions of graph theory. 2. Recurrence relations. 3. The principle of inclusion and exclusion. 4. Matrices and graphs. 5. Trees. 6. Mobius inversion and graph colouring. 7. Enumeration under group action. 8. Matching theory. 9. Block designs. 10. Planar graphs. 11. Edges and cycles. 12. Regular graphs. 13. Hints. Bibliography. Index. "The concept of a graph is fundamental in mathematics since it conveniently encodes diverse relations and facilitates combinatorial analysis of many complicated counting problems. In this book, we have traced the origins of graph theory from its humble beginnings in recreational mathematics to its modern setting for modeling communication networks, as is evidenced by the World Wide Web graph used by many internet search engines. This book is an introduction to graph theory and combinatorial analysis. It is based on courses given by the second author at Queen's University at Kingston, Ontario, Canada between 2002 and 2008. The courses were aimed at students in the final year of their undergraduate program. This text is very suitable for a first course on this topic.". …

Sprache: Englisch
Verlag: World Scientific Publishing Company (edition 3rd ed.), 2011
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Sprache: Englisch
Verlag: McGraw Hill, 1994
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PROBLEMS FROMTHE DISCRETE TO THE CONTINUOUS PROBABILITY NUMBER THEORY GRAPH THEORY AND COMBINATORICS
Sprache: Englisch
Verlag: Springer, 2014
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Sprache: Englisch
Verlag: pearson, 2004
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Paperback. Zustand: Good. This is a textbook for an introductory combinatorics course lasting one or two semesters. An extensive list of problems, ranging from routine exercises to research questions, is included. In each section, there are also exercises that contain material not explicitly discussed in the preceding text, so as to provide instructors with extra choices if they want to shift the emphasis of their course.Just as with the first three editions, the new edition walks the reader through the classic parts of combinatorial enumeration and graph theory, while also discussing some recent progress in the area: on the one hand, providing material that will help students learn the basic techniques, and on the other hand, showing that some questions at the forefront of research are comprehensible and accessible to the talented and hardworking undergraduate. The basic topics discussed are: the twelvefold way, cycles in permutations, the formula of inclusion and exclusion, the notion of graphs and trees, matchings, Eulerian and Hamiltonian cycles, and planar graphs.New to this edition are the Quick Check exercises at the end of each section. In all, the new edition contains about 240 new exercises. Extra examples were added to some sections where readers asked for them.The selected advanced topics are: Ramsey theory, pattern avoidance, the probabilistic method, partially ordered sets, the theory of designs, enumeration under group action, generating functions of labeled and unlabeled structures and algorithms and complexity.The book encourages students to learn more combinatorics, provides them with a not only useful but also enjoyable and engaging reading.The Solution Manual is available upon request for all instructors who adopt this book as a course text. Please send your request to .The previous edition of this textbook has been adopted at various schools including UCLA, MIT, University of Michigan, and Swarthmore College. It was also translated into Korean.…

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PROBLEMS FROMTHE DISCRETE TO THE CONTINUOUS PROBABILITY NUMBER THEORY GRAPH THEORY AND COMBINATORICS
Sprache: Englisch
Verlag: Springer, 2014
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Weitere Bilder- Hardcover
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Hardcover. Zustand: As New. Leichte Kratzer / Abnutzungen / Druckstellen. This book concentrates on two distinct areas in discrete mathematics. The first section deals with combinatorics, loosely defined as the study of counting. We provide functions for generating combinatorial objects such as permutations, partitions, and Young tableaux, as well as for studying various aspects of these structures.The second section considers graph theory, which can be defined equally loosely as the study of binary relations. We consider a wide variety of graphs, provide functions to create them, and functions to show what special properties they have, Although graphs are combinatorial structures, understanding them requires pictures or embeddings. Thus we provide functions to create a variety of graph embeddings, so the same structure can be viewed in several different ways. Algorithmic graph theory is an important interface between mathematics and computer science, and so we study a variety of polynominal and exponential time problems.…

PROBLEMS FROMTHE DISCRETE TO THE CONTINUOUS PROBABILITY NUMBER THEORY GRAPH THEORY AND COMBINATORICS
Sprache: Englisch
Verlag: Springer India, 2018
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