000			03052nam a22002657a 4500
003			OSt
005			20250310105026.0
008			250304b |||||||| |||| 00| 0 hin d
020			_a9780000987648
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082			_a519.1 _bBON-W
100			_aBóna, Miklós
245			_aWalk through combinatorics : _ban introduction to enumeration and graph theory
250			_a4th edition
260			_aNew Jersey : _bWorld Scientific, _c2017.
300			_axx, 593 pages : _billustrations ; _c24 cm
504			_aIncludes bibliographical references (pages 583- 586) and index.
520			_aThis 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.
650			_aCombinatorial analysis _vTextbooks
650			_aCombinatorial enumeration problems _vTextbooks
650			_aGraph theory _vTextbooks
856			_3Table of content _uhttps://www.worldscientific.com/doi/reader/10.1142/9789813148857_fmatter
856			_3Reviews _uhttps://www.goodreads.com/book/show/54839972-walk-through-combinatorics-a?ref=nav_sb_ss_1_13#CommunityReviews
942			_2udc _cBK
999			_c35832 _d35832