zer/Remmel on computability and stable marriage; * a new section on Konig's Duality theorem, including work of Aharoni (set theory) and Simpson (computability / reverse mathematics); * a new section on transfinite recursion and transfinite induction with an appropriate application to graph theory.doi:10.1016/0024-3795(82)90020-9N.L. BiggsW.G. Bridges...
首先,当顶点数给定时,triangle-free graph最多有几条边。这就是Mantel定理。第一种思路是发现相邻点的邻域不交,因此d(x)+d(y)有上界,加总得到边数上界。第二种思路是发现某点的邻域是独立集,于是取最大度的顶点来全局估计。 进一步地,我们会思考给定顶点数和边数时能否对三角形数给出一个下界。不涉及具体...
Sterboul, editors, Combinatorial Mathematics Proceedings of the International Colloquium on Graph Theory and Combinatorics, volume 75, pages 131 - 141. North-Holland, 1983.A. Bouchet and J.-L. Fouquet. Trois types de d´ecompositions d'un graphe en chaˆines. In C. Berge, ...
Extremal graph theory and Ramsey theory are two of the central branches of modern extremal combinatorics, which seeks to understand the size and structure of discrete objects under certain natural constraints. In this course we will explore these topics, seeing both some of the beautiful techniques ...
[IHES] Mathematical Aspects of 6-D QFT (Geometric Langlands and Gaugue Theory) 2108播放 06.语音识别-HMM,CTC和RNN-T(5_7)的对齐方式(选讲) 万物可串 1:55:57 福州大学离散数学(黄书棋老师)第一节 代数至上 7431 3:24:53 【全168集】清华大佬终于把高中物理做成了动漫片,必修一到必修三详细讲解,...
Combinatorics and Graph Theory packs an immense amount in, offering largely self-contained introductions to both graph theory and combinatorics along with a shorter look at infinite combinatorics. This introduces the reader to two of the more intuitive and immediate areas of mathematics and gives them...
Although the course will be largely divided into two parts (graph theory in the first half and additive combinatorics in the second), we will emphasize the interactions between the two topics and highlight the common themes.Textbook: Yufei Zhao, Graph Theory and Additive Combinatorics: Exploring ...
Graph Theory, Combinatorics and Algorithms: Interdisciplinary Applications focuses on discrete mathematics and combinatorial algorithms interacting with real world problems in computer science, operations research, applied mathematics and engineering. The book contains eleven chapters written by experts in their ...
Combinatorics - Graph Theory, Counting, Probability: A graph G is said to be planar if it can be represented on a plane in such a fashion that the vertices are all distinct points, the edges are simple curves, and no two edges meet one another except at
a problem in combinatorics, Cambridge Dublin Math. J. 2 (1847), 191–. ^C. St. J. A. NashWilliams, unsolved problem concerning decomposition of graphs into triangles, In: Combinatorial Theory and its Applications III (P. Erdős, A. Rényi, and V.T. Sós, eds.), North ...