[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,...
‘This is a beautiful treatment of Extremal Graph Theory and Additive Combinatorics, focusing on the fruitful interplay between the two. The book covers the classical results as well as recent developments in this active area. It is a fascinating manuscript that would appeal to students and researc...
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...
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...
Textbook: Yufei Zhao, Graph Theory and Additive Combinatorics: Exploring Structure and Randomness, Cambridge University Press, 2023Lecture video recordings from Fall 2019 (may not correspond exactly to the current semester) may be found on MIT OpenCourseWare and YouTube.Prerequisites...
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...
This glossary contains an annotated listing of some 300 parameters of graphs, together with their definitions, and, for most of these, a reference to the authors who introduced them. Let G = (V, E) be an undirected graph having order...
Graph and Graph Models - Explore the fundamentals of graph theory, including types of graphs, graph representations, and their applications in discrete mathematics.
Anyway, the following observation is really interesting; details can be found in the book “matching theory” by Lovasz and Plummer. Consider a general graph . An equivalence relationship can be defined on the nodes of the graph as follows: two nodes and are equivalent if has no perfect match...
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) ...