[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,...
‘Yufei Zhao’s book is a wonderful book about graph theory, additive combinatorics, and their surprising connections involving a major theme of modern mathematics: the interplay between structure and randomness. In both areas, the book can take the curious reader, whether an advanced undergraduate ...
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...
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 ...
MIT Graph Theory and Additive Combinatorics (图论和加性组合) 课程代码18.217 2019年秋 生肉 林夕不追一梦三年 01. 1. A bridge between graph theory and additive combinatorics 02. 2. Forbidding a subgraph I Mantel's theorem and Turán's theorem 03. 3. Forbidding a subgraph II complete bipartite...
Stability results in additive combinatorics and graph theory constitute the main topic of this thesis, in which we solve a question of Erdos and Sarkozy on sums of integers, and reprove a conjecture of Posa and Seymour on powers of hamiltonian cycles.;Along the way we prove stronger structural...
Later, his ideas were used in Appel and Haken's famous proof of the theorem [5], and their extensions have become a common technique in graph theory (e.g., see [2, 17]). This technique in- volves giving charges to vertices (or edges, or faces, for graphs drawn in the plane) ...
J. Graph Theory, 7 (1983), pp. 131-135 CrossrefView in ScopusGoogle Scholar [12] A. Gyárfás Vertex covers by monochromatic pieces—a survey of results and problems Irregularities of Partitions, Algorithms and Combinatorics, vol. 8, Springer-Verlag (1989), pp. 89-91 CrossrefGoogle Scholar...
2 Notations and preliminaries In this section we first recall some basic notions on graph theory (for more details refer to [25]) and on the HL-index. Considering a simple, connected and undirected graph \(G=(V,E)\) where \(V=\{1, 2, \ldots, n\}\) is the set of vertices and...
Later, his ideas were used in Appel and Haken's famous proof of the theorem [5], and their extensions have become a common technique in graph theory (e.g., see [2, 17]). This technique in- volves giving charges to vertices (or edges, or faces, for graphs drawn in the plane) ...