{"product_id":"walk-through-combinatorics-a-an-introduction-to-enumeration-and-graph-theory-3rd-edition-9789814460002","title":"Walk Through Combinatorics  A: An Introduction To Enumeration And Graph Theory (3Rd 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 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.\u003c\/p\u003e","brand":"My Store","offers":[{"title":"Default Title","offer_id":45665877262389,"sku":"ByrdShop_9814460001","price":50.16,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0627\/8139\/0901\/files\/9789814460002.jpg?v=1782411952","url":"https:\/\/atxbooks.com\/products\/walk-through-combinatorics-a-an-introduction-to-enumeration-and-graph-theory-3rd-edition-9789814460002","provider":"ATX Books","version":"1.0","type":"link"}