A formal definition of a Graph and its properties
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)
Mathematical theories start with axioms, but penultimate to that is the definition. When we go to learn, what's the best definition to commit to memory? Here we talk about Graph Theory and I give you 3 definitions to choose from. Which would you use?
From playlist Summer of Math Exposition 2 videos
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
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
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
What is a Path Graph? | Graph Theory
What is a path graph? We have previously discussed paths as being ways of moving through graphs without repeating vertices or edges, but today we can also talk about paths as being graphs themselves, and that is the topic of today's math lesson! A path graph is a graph whose vertices can
From playlist Graph Theory
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)
The Green-Tao theorem and a relative Szemeredi theorem - Yufei Zhao
Yufei Zhao Massachusetts Institute of Technology March 3, 2014 The celebrated Green-Tao theorem states that there are arbitrarily long arithmetic progressions in the primes. In this talk, I will explain the ideas of the proof and discuss our recent simplifications. One of the main ingredie
From playlist Mathematics
The Green-Tao theorem and a relative Szemeredi theorem - Yufei Zhao
Slides for this talk: https://drive.google.com/file/d/1RdgY6N869MN5lJwl2jv1HwIgWky6aW5C/view?usp=sharing The Green-Tao theorem and a relative Szemeredi theorem - Yufei Zhao Abstract: The celebrated Green-Tao theorem states that there are arbitrarily long arithmetic progressions in the p
From playlist Mathematics
Jeff Calder: "Discrete regularity for graph Laplacians"
High Dimensional Hamilton-Jacobi PDEs 2020 Workshop IV: Stochastic Analysis Related to Hamilton-Jacobi PDEs "Discrete regularity for graph Laplacians" Jeff Calder - University of Minnesota, Twin Cities Abstract: The spectrum of the graph Laplacian plays an important role in data science,
From playlist High Dimensional Hamilton-Jacobi PDEs 2020
Extreme eigenvalue distributions of sparse random graphs - Jiaoyang Huang
Analysis - Mathematical Physics Topic: Extreme eigenvalue distributions of sparse random graphs Speaker: Jiaoyang Huang Affiliation: Member, School of Mathematics Date: November 15, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Tina Eliassi-Rad: "Task-driven Network Discovery via Deep Reinforcement Learning on Embedded Spaces"
Deep Learning and Combinatorial Optimization 2021 "Task-driven Network Discovery via Deep Reinforcement Learning on Embedded Spaces" Tina Eliassi-Rad - Northeastern University, Computer Science & Network Science Abstract: Most network analysis is conducted on existing incomplete samples
From playlist Deep Learning and Combinatorial Optimization 2021
Power Functions (Precalculus - College Algebra 28)
Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com A quick study of Power Functions and how they will be used to determine End-Behavior of Polynomials.
From playlist Precalculus - College Algebra/Trigonometry
26. Sum-product problem and incidence geometry
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 A famous open problem says that no set of integers can si
From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019
Master Graphing a quadratic by converting from standard to vertex form by completing the square
Subscribe! http://www.freemathvideos.com Welcome, ladies and gentlemen. So, what I'd like to do is show you how to graph a quadratic in vertex form when it's in standard form. And there's a couple different ways we can do this. Obviously, we could use some different methods to graph it in
From playlist Quadratic Functions #Master
Laurent Massoulié : Non-backtracking spectrum of random graphs: community detection and ...
Abstract: A non-backtracking walk on a graph is a directed path such that no edge is the inverse of its preceding edge. The non-backtracking matrix of a graph is indexed by its directed edges and can be used to count non-backtracking walks of a given length. It has been used recently in th
From playlist Combinatorics
Polynomial Functions and Graphs Part 1
In this video we introduce polynomial functions and graphs
From playlist Polynomial Functions
Graph Theory Talk: Graphs, Edges, Vertices, Adjacency Matrix and it's Eigenvalues
Graph Theory Stuff: Graphs, Edges, Vertices, Adjacency Matrix and it's Eigenvalues
From playlist Graph Theory