Extensions and generalizations of graphs | Families of sets | Algebraic graph theory
In mathematics, a two-graph is a set of (unordered) triples chosen from a finite vertex set X, such that every (unordered) quadruple from X contains an even number of triples of the two-graph. A regular two-graph has the property that every pair of vertices lies in the same number of triples of the two-graph. Two-graphs have been studied because of their connection with equiangular lines and, for regular two-graphs, strongly regular graphs, and also finite groups because many regular two-graphs have interesting automorphism groups. A two-graph is not a graph and should not be confused with other objects called 2-graphs in graph theory, such as 2-regular graphs. (Wikipedia).
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
Graph Theory: 09. Graph Isomorphisms
In this video I provide the definition of what it means for two graphs to be isomorphic. I illustrate this with two isomorphic graphs by giving an isomorphism between them, and conclude by discussing what it means for a mapping to be a bijection. An introduction to Graph Theory by Dr. Sar
From playlist Graph Theory part-2
Introduction and overview of multigraphs in graph theory
From playlist Graph Theory
Graph Theory: 10. Isomorphic and Non-Isomorphic Graphs
Here I provide two examples of determining when two graphs are isomorphic. If they are isomorphic, I give an isomorphism; if they are not, I describe a property that I show occurs in only one of the two graphs. Here is a related video in which I show how to check for whether these examp
From playlist Graph Theory part-2
This video explains the definitions of simple graphs, multigraphs, connected and not connected graphs, complete graphs, and the Handshake lemma. mathispower4u.com
From playlist Graph Theory (Discrete Math)
Graph the system of three linear inequalities and determine the feasible region ex 15
http://www.freemathvideos.com In this video series you will learn how to graph a system of linear inequalities. When graphing a system of linear inequalities you will graph just like a system of linear equations except you will use test points to shade. #systemsofequations #solvesystemofi
From playlist Graph a System of Inequalities (3 or More) #System
Tree Graphs - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
Graphing the system of two linear inequalities with two horizontal line
👉 Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making up the system is graphed individually with the side of
From playlist Solve a System of Inequalities by Graphing
Graph Theory FAQs: 01. More General Graph Definition
In video 02: Definition of a Graph, we defined a (simple) graph as a set of vertices together with a set of edges where the edges are 2-subsets of the vertex set. Notice that this definition does not allow for multiple edges or loops. In general on this channel, we have been discussing o
From playlist Graph Theory FAQs
Lecture 19 - Degree Sequences & Invariants
This is Lecture 19 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%2019.pdf More information may
From playlist CSE547 - Discrete Mathematics - 1999 SBU
Quadratic Function Transformations
This video explains transformation of the basic quadratic function. http://mathispower4u.com
From playlist Determining Transformations of Functions
Lecture 10 - Graph Data Structures
This is Lecture 10 of the CSE373 (Analysis of Algorithms) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1997. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/video-lectures/1997/lecture14.pdf
From playlist CSE373 - Analysis of Algorithms - 1997 SBU
A Classification of Planar Graphs - A Proof of Kuratowski's Theorem
A visually explained proof of Kuratowski's theorem, an interesting, important and useful result classifying "planar" graphs. Proof adapted from: http://math.uchicago.edu/~may/REU2017/REUPapers/Xu,Yifan.pdf and: https://www.math.cmu.edu/~mradclif/teaching/228F16/Kuratowski.pdf Also check
From playlist Summer of Math Exposition Youtube Videos
14. Graph limits I: introduction
MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX Graph limits provide a beautiful analytic framework for s
From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019
What are Planar Graphs? | Graph Theory
What are planar graphs? How can we draw them in the plane? In today's graph theory lesson we'll be defining planar graphs, plane graphs, regions of plane graphs, boundaries of regions of plane graphs, and introducing Euler's formula for connected plane graphs. A planar graph is a graph t
From playlist Graph Theory
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
What are Non-Separable Graphs? | Graph Theory
What are non-separable graphs? To understand non-separable graphs, we need to understand cut vertices. A vertex of a graph is a cut vertex if deleting it disconnects the graph or the component the vertex belongs to. Here is my lesson on cut vertices: https://www.youtube.com/watch?v=D1nYRg
From playlist Graph Theory
The Magical Gluing Lemma, Part 1
The first of 3 videos explain the research I participated in during my undergrad in 2018. The subject of this video is complimentary to a blog article I wrote for the blog UnderRad. https://underrad.webflow.io/ My Twitter: https://twitter.com/KristapsBalodi3
From playlist The Magical Gluing Lemma
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
What are Isomorphic Graphs? | Graph Isomorphism, Graph Theory
How do we formally describe two graphs "having the same structure"? The term for this is "isomorphic". Two graphs that have the same structure are called isomorphic, and we'll define exactly what that means with examples in today's video graph theory lesson! Check out the full Graph Theor
From playlist Graph Theory