期刊全称 | A Course in Topological Combinatorics | 影响因子2023 | Mark Longueville | 视频video | | 发行地址 | First textbook in the field of topological combinatorics.Covers topics such as fair division, graph coloring problems, evasiveness of graph properties, and embedding problems from discrete geometry.Co | 学科分类 | Universitext | 图书封面 |  | 影响因子 | .A Course in Topological Combinatorics. is the first undergraduate textbook on the field of topological combinatorics, a subject that has become an active and innovative research area in mathematics over the last thirty years with growing applications in math, computer science, and other applied areas. Topological combinatorics is concerned with solutions to combinatorial problems by applying topological tools. In most cases these solutions are very elegant and the connection between combinatorics and topology often arises as an unexpected surprise..The textbook covers topics such as fair division, graph coloring problems, evasiveness of graph properties, and embedding problems from discrete geometry. The text contains a large number of figures that support the understanding of concepts and proofs. In many cases several alternative proofs for the same result are given, and each chapter ends with a series of exercises. The extensive appendix makes the book completely self-contained..The textbook is well suited for advanced undergraduate or beginning graduate mathematics students. Previous knowledge in topology or graph theory is helpful but not necessary. The text may be used as a b | Pindex | Textbook 2013 |
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