Extensions and generalizations of graphs

Colored graph

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Edge Colorings and Chromatic Index of Graphs | Graph Theory

We introduce edge colorings of graphs and the edge chromatic number of graphs, also called the chromatic index. We'll talk about k-colorings/k-edge colorings, minimum edge colorings, edge colourings as matchings, edge colourings as functions, and see examples and non-examples of edge color

From playlist Graph Theory

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What are Connected Graphs? | Graph Theory

What is a connected graph in graph theory? That is the subject of today's math lesson! A connected graph is a graph in which every pair of vertices is connected, which means there exists a path in the graph with those vertices as endpoints. We can think of it this way: if, by traveling acr

From playlist Graph Theory

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What are Signed Graphs?

This video introduces signed graphs and signed graph theory. Signed graphs are graphs where the edges are given a positive or negative sign. They see applications in scheduling (signed graph coloring specifically), data science, social psychology, and more. In future videos we'll look at c

From playlist Summer of Math Exposition Youtube Videos

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Introduction to Vertex Coloring and the Chromatic Number of a Graph

This video introduces vertex coloring and provides example of how to determine the chromatic number of a graph. mathispower4u.com

From playlist Graph Theory (Discrete Math)

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Lecture 23 - Graph Coloring

This is Lecture 23 of the CSE547 (Discrete Mathematics) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1999. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/math-video/slides/Lecture%2023.pdf More information may

From playlist CSE547 - Discrete Mathematics - 1999 SBU

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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

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How to Tell if Graph is Bipartite (by hand) | Graph Theory

How can we tell if a graph is bipartite by hand? We'll discuss the easiest way to identify bipartite graphs in today's graph theory lesson. This method takes advantage of the fact that bipartite graphs are 2-colorable. This means their vertices can be colored using only two colors so adjac

From playlist Graph Theory

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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

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On the effect of randomness on planted 3-coloring models - Uri Feige

Computer Science/Discrete Mathematics Seminar I Topic: On the effect of randomness on planted 3-coloring models Speaker: Uri Feige Affiliation: Weizmann Institute of Science Date: Monday, November 21 For more video, visit http://video.ias.edu

From playlist Mathematics

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Puzzle 10: A Weekend To Remember

MIT 6.S095 Programming for the Puzzled, IAP 2018 View the complete course: https://ocw.mit.edu/6-S095IAP18 Instructor: Srini Devadas You are happy when your friends are happy. This means making sure that some pairs of your friends never meet at any of your parties. This video will explain

From playlist MIT 6.S095 Programming for the Puzzled, January IAP 2018

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Maria Chudnovsky: Coloring graphs with forbidden induced paths

Abstract: The problem of testing if a graph can be colored with a given number k of colors is NP-complete for every k[greater than]2. But what if we have more information about the input graph, namely that some fixed graph H is not present in it as an induced subgraph? It is known that the

From playlist Combinatorics

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Chromatic Number of Bipartite Graphs | Graph Theory

What is the chromatic number of bipartite graphs? If you remember the definition, you may immediately think the answer is 2! This is practically correct, though there is one other case we have to consider where the chromatic number is 1. We'll explain both possibilities in today's graph th

From playlist Graph Theory

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The Colorful Connected Subgraph Problem - Richard Karp

A Celebration of Mathematics and Computer Science Celebrating Avi Wigderson's 60th Birthday October 5 - 8, 2016 More videos on http://video.ias.edu

From playlist Mathematics

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Graphing Equations By Plotting Points - Part 1

This video shows how to graph equations by plotting points. Part 1 of 2 http://www.mathispower4u.yolasite.com

From playlist Graphing Various Functions

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Graph coloring