Regular map (graph theory)

Graph Theory: 05. Connected and Regular Graphs

We give the definition of a connected graph and give examples of connected and disconnected graphs. We also discuss the concepts of the neighbourhood of a vertex and the degree of a vertex. This allows us to define a regular graph, and we give some examples of these. --An introduction to

From playlist Graph Theory part-1

What are Regular Graphs? | Graph Theory

What is a regular graph? That is the subject of today's math lesson! A graph is regular if and only if every vertex in the graph has the same degree. If every vertex in a graph has degree r, then we say that graph is "r-regular" or "regular of degree r". If a graph is not regular, as in, i

From playlist Graph Theory

The Definition of a Graph (Graph Theory)

The Definition of a Graph (Graph Theory) mathispower4u.com

From playlist Graph Theory (Discrete Math)

Graph Theory: 57. Planar Graphs

A planar graph is a graph that can be drawn in the plane without any edge crossings. Such a drawing (with no edge crossings) is called a plane graph. A given plane graph divides the plane into regions and each region has a boundary that outlines it. We look at some examples and also giv

From playlist Graph Theory part-10

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

What is a Graph? | Graph Theory

What is a graph? A graph theory graph, in particular, is the subject of discussion today. In graph theory, a graph is an ordered pair consisting of a vertex set, then an edge set. Graphs are often represented as diagrams, with dots representing vertices, and lines representing edges. Each

From playlist Graph Theory

Planar graphs

Planar graphs, What are planar graphs? In this video we take a look at what a planar graph is and how Mathematica can check to see if a graph is planar. In short, a planar graph is one that can be drawn in the plane such that no edges cross. If you want to learn more about Mathematica,

From playlist Introducing graph theory

Graph Theory: 02. Definition of a Graph

In this video we formally define what a graph is in Graph Theory and explain the concept with an example. In this introductory video, no previous knowledge of Graph Theory will be assumed. --An introduction to Graph Theory by Dr. Sarada Herke. This video is a remake of the "02. Definitio

From playlist Graph Theory part-1

Global symmetry from local information: The Graph Isomorphism Problem – László Babai – ICM2018

Combinatorics | Mathematical Aspects of Computer Science Invited Lecture 13.4 | 14.5 Global symmetry from local information: The Graph Isomorphism Problem László Babai Abstract: Graph Isomorphism (GI) is one of a small number of natural algorithmic problems with unsettled complexity stat

From playlist Combinatorics

v1258

From playlist Mathematics

Graph Theory: 29. Lovasz Conjecture on Hamilton Paths

Lovasz has conjectured that every finite connected vertex-transitive graph has a Hamilton path. In this video I explain what vertex-transitive graphs are and provide some examples and non-examples. I begin by defining an automorphism of a graph and similar vertices. An introduction to Gr

From playlist Graph Theory part-6

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

High dimensional expanders – Alexander Lubotzky – ICM2018

Plenary Lecture 13 High dimensional expanders Alexander Lubotzky Abstract: Expander graphs have been, during the last five decades, the subject of a most fruitful interaction between pure mathematics and computer science, with influence and applications going both ways. In the last decad

From playlist Plenary Lectures

Regular permutation groups and Cayley graphs

Cheryl Praeger (University of Western Australia). Plenary Lecture from the 1st PRIMA Congress, 2009. Plenary Lecture 11. Abstract: Regular permutation groups are the 'smallest' transitive groups of permutations, and have been studied for more than a century. They occur, in particular, as

From playlist PRIMA2009

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

10/18/18 Konstantin Mischaikow

A Combinatorial/Algebraic Topological Approach to Nonlinear Dynamics

From playlist Fall 2018 Symbolic-Numeric Computing

High Dimensional Expanders and Ramanujan Complexes - Alexander Lubotzky

Computer Science/Discrete Mathematics Seminar II Topic: High Dimensional Expanders and Ramanujan Complexes Speaker: Alexander Lubotzky Affiliation: Hebrew University Date: December 8, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

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 Cubic Graphs? | Graph Theory

What are cubic graphs? We go over this bit of graph theory in today's math lesson! Recall that a regular graph is a graph in which all vertices have the same degree. The degree of a vertex v is the number of edges incident to v, or equivalently the number of vertices adjacent to v. If ever

From playlist Graph Theory

Christian Bär - Boundary value problems for Dirac operators

This introduction to boundary value problems for Dirac operators will not focus on analytic technicalities but rather provide a working knowledge to anyone who wants to apply the theory, i.e. in the study of positive scalar curvature. We will systematically study "elliptic boundary conditi

From playlist Not Only Scalar Curvature Seminar