Walk Through Combinatorics, A: An Introduction To Enumeration And Graph Theory (Third Edition)

Walk Through Combinatorics, A: An Introduction To Enumeration And Graph Theory (Third Edition)
Author :
Publisher : World Scientific Publishing Company
Total Pages : 567
Release :
ISBN-10 : 9789813100725
ISBN-13 : 9813100729
Rating : 4/5 (729 Downloads)

Book Synopsis Walk Through Combinatorics, A: An Introduction To Enumeration And Graph Theory (Third Edition) by : Miklos Bona

Download or read book Walk Through Combinatorics, A: An Introduction To Enumeration And Graph Theory (Third Edition) written by Miklos Bona and published by World Scientific Publishing Company. This book was released on 2011-05-09 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 two 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.The selected advanced topics are: Ramsey theory, pattern avoidance, the probabilistic method, partially ordered sets, the theory of designs (new to this edition), enumeration under group action (new to this edition), generating functions of labeled and unlabeled structures and algorithms and complexity.As the goal of the book is to encourage students to learn more combinatorics, every effort has been made to provide 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 [email protected].


Walk Through Combinatorics, A: An Introduction To Enumeration And Graph Theory (Third Edition) Related Books

Walk Through Combinatorics, A: An Introduction To Enumeration And Graph Theory (Third Edition)
Language: en
Pages: 567
Authors: Miklos Bona
Categories: Mathematics
Type: BOOK - Published: 2011-05-09 - Publisher: World Scientific Publishing Company

DOWNLOAD EBOOK

This is a textbook for an introductory combinatorics course lasting one or two semesters. An extensive list of problems, ranging from routine exercises to resea
Combinatorics and Graph Theory
Language: en
Pages: 392
Authors: John Harris
Categories: Mathematics
Type: BOOK - Published: 2009-04-03 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

These notes were first used in an introductory course team taught by the authors at Appalachian State University to advanced undergraduates and beginning gradua
Applications of Combinatorics and Graph Theory to the Biological and Social Sciences
Language: en
Pages: 345
Authors: Fred Roberts
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This IMA Volume in Mathematics and its Applications Applications of Combinatorics and Graph Theory to the Biological and Social Sciences is based on the proceed
Fractional Graph Theory
Language: en
Pages: 242
Authors: Edward R. Scheinerman
Categories: Mathematics
Type: BOOK - Published: 2013-04-29 - Publisher: Courier Corporation

DOWNLOAD EBOOK

This volume explains the general theory of hypergraphs and presents in-depth coverage of fundamental and advanced topics: fractional matching, fractional colori
Notes on Introductory Combinatorics
Language: en
Pages: 202
Authors: George Polya
Categories: Science
Type: BOOK - Published: 2013-11-27 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

In the winter of 1978, Professor George P61ya and I jointly taught Stanford University's introductory combinatorics course. This was a great opportunity for me,