Upper and Lower Bounds for the Chromatic Number of a Graph
This video explains how to determine the upper and lower bounds of the chromatic number to various graphs. Then the chromatic number is found. mathispower4u.com
From playlist Graph Theory (Discrete Math)
Determine Which Graphs have a Given Chromatic Number
This video explains how to determine which special graphs have a chromatic number of 6. mathispower4u.com
From playlist Graph Theory (Discrete Math)
Find the Chromatic Number of the Given Graphs
This video explains how to determine a proper vertex coloring and the chromatic number of a graph. mathispower4u.com
From playlist Graph Theory (Discrete Math)
Order and Size of a Graph | Graph Theory
What is the order and size of a graph? We'll go over them both in this math lesson! A graph is an ordered pair with a vertex set and an edge set. The order of a graph is the cardinality of its vertex set, which is the number of vertices in the graph. The size of a graph is the cardinality
From playlist Graph Theory
Chromatic Number of Complete Graphs | Graph Theory
What are the chromatic numbers of complete graphs on n vertices? As we’ll see in today’s graph theory lesson on vertex coloring, we need exactly n colors to properly color the complete graph K_n. Intro to Graph Colorings: https://youtu.be/3VeQhNF5-rE Recall that a proper coloring (or ju
From playlist Graph Theory
Determine If an Ordered Pair is a Solution to a Linear Equation
This video explains how to determine if an ordered pair is a solution to a given linear equation. http://mathispower4u.com
From playlist Graphing Linear Equations Using a Table of Values
Graph Theory: 66. Basic Bound on the Chromatic Number
In this video we prove by induction that every graph has chromatic number at most one more than the maximum degree. Odd cycles and complete graphs are examples for which the chromatic number meets this upper bound exactly. For other graphs, Brook's Theorem tells us that the chromatic num
From playlist Graph Theory part-11
The abstract chromatic number - Leonardo Nagami Coregliano
Computer Science/Discrete Mathematics Seminar I Topic: The abstract chromatic number Speaker: Leonardo Nagami Coregliano Affiliation: University of Chicago Date: March 22, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Random Cayley Graphs - Noga Alon
Noga Alon Tel Aviv University; Member, School of Mathematics November 25, 2013 The study of random Cayley graphs of finite groups is related to the investigation of Expanders and to problems in Combinatorial Number Theory and in Information Theory. I will discuss this topic, describing the
From playlist Mathematics
Extremal theory of ordered graphs – Gábor Tardos – ICM2018
Combinatorics Invited Lecture 13.3 Extremal theory of ordered graphs Gábor Tardos Abstract: We call simple graphs with a linear order on the vertices ‘ordered graphs’. Turán-type extremal graph theory naturally extends to ordered graphs. This is a survey on the ongoing research in the ex
From playlist Combinatorics
Dependent random choice - Jacob Fox
Marston Morse Lectures Topic: Dependent random choice Speaker: Jacob Fox, Stanford University Date: October 26, 2016 For more videos, visit http://video.ias.edu
From playlist Mathematics
Edge Coloring and the Chromatic Index of a Graph
This video introduces edge coloring and the chromatic index of a graph. An application of the chromatic index is provided. mathispower4u.com
From playlist Graph Theory (Discrete Math)
Graph Theory: 65. 2-Chromatic Graphs
In this video we begin by showing that the chromatic number of a tree is 2. Yet, if the chromatic number of a graph is 2, this does not imply that the graph is a tree. We then prove that the chromatic number of a graph is 2 if and only if the graph is bipartite. -- Bits of Graph Theory
From playlist Graph Theory part-11
Maria Chudnovsky: Induced cycles and coloring
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Combinatorics
Does Infinite Cardinal Arithmetic Resemble Number Theory? - Menachem Kojman
Menachem Kojman Ben-Gurion University of the Negev; Member, School of Mathematics February 28, 2011 I will survey the development of modern infinite cardinal arithmetic, focusing mainly on S. Shelah's algebraic pcf theory, which was developed in the 1990s to provide upper bounds in infinit
From playlist Mathematics
Louis Esperet: Coloring graphs on surfaces
Recording during the thematic meeting: "Graphs and surfaces: algorithms, combinatorics and topology" the May 11, 2016 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematici
From playlist Mathematical Aspects of Computer Science
MIT 6.042J Mathematics for Computer Science, Spring 2015 View the complete course: http://ocw.mit.edu/6-042JS15 Instructor: Albert R. Meyer License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.042J Mathematics for Computer Science, Spring 2015
Dieter Rautenbach: Restricted types of matchings
Abstract: We present new results concerning restricted types of matchings such as uniquely restricted matchings and acyclic matchings, and we also consider the corresponding edge coloring notions. Our focus lies on bounds, exact and approximative algorithms. Furthermore, we discuss some ma
From playlist Combinatorics