{"product_id":"walk-through-combinatorics-a-an-introduction-to-enumeration-and-graph-theory-fourth-edition","title":"WALK THROUGH COMBINATORICS  A: AN INTRODUCTION TO ENUMERATION AND GRAPH THEORY (FOURTH EDITION)","description":"\u003cp\u003eThis 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 sales@wspc.com. 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.\u003c\/p\u003e","brand":"My Store","offers":[{"title":"Default Title","offer_id":44985969377333,"sku":"ByrdShop_9813148845","price":67.4,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0627\/8139\/0901\/files\/9789813148840.jpg?v=1770879776","url":"https:\/\/atxbooks.com\/products\/walk-through-combinatorics-a-an-introduction-to-enumeration-and-graph-theory-fourth-edition","provider":"ATX Books","version":"1.0","type":"link"}