What is a Walk? | Graph Theory
What is a walk in the context of graph theory? That is the subject of today's math lesson! A walk in a graph G can be thought of as a way of moving through G, where you start at any vertex in the graph, and then move to other vertices through the edges in the graph. In a walk, you are allo
From playlist Graph Theory
Graph Theory: 16. Walks Trails and Paths
Here I explain the difference between walks, trails and paths in graph theory. --An introduction to Graph Theory by Dr. Sarada Herke. Problem Set #3: https://docs.google.com/file/d/0ByUyHC8zuQ1sOWpici14V3cxOGM/edit?usp=sharing For quick videos about Math tips and useful facts, check out
From playlist Graph Theory part-3
From playlist M. 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
Graph Theory: 18. Every Walk Contains a Path
Here I show a proof that every walk in a graph contains a path. This is why we can define connected graphs as those graphs for which there is a path between every pair of vertices. --An introduction to Graph Theory by Dr. Sarada Herke. For quick videos about Math tips and useful facts, c
From playlist Graph Theory part-4
In this tutorial I explore the concepts of walks, trails, paths, cycles, and the connected graph.
From playlist Introducing graph theory
What is a Path? | Graph Theory
What is a path in the context of graph theory? We go over that in today's math lesson! We have discussed walks, trails, and even circuits, now it is about time we get to paths! Recall that a walk is a sequence of vertices in a graph, such that consecutive vertices are adjacent. A path is t
From playlist Graph Theory
Longest Simple Path - 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
Roberto Oliveira: Estimating graph parameters with random walks
Recording during the meeting "Spectra, Algorithms and Random Walks on Random Networks " the January 14, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM
From playlist Probability and Statistics
Local Statistics, Semidefinite Programming, and Community Detection - Prasad Raghavendra
Computer Science/Discrete Mathematics Seminar I Topic: Local Statistics, Semidefinite Programming, and Community Detection Speaker: Prasad Raghavendra Affiliation: University of California, Berkeley Date: May 4, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
X-Ramanujan graphs: ex uno plures - Ryan O'Donnell
Computer Science/Discrete Mathematics Seminar Topic: X-Ramanujan graphs: ex uno plures Speaker: Ryan O'Donnell Affiliation: Carnegie Mellon University Time/Room: 3:30pm - 4:30pm/Simonyi Hall 101 Date: October 29, 2018 For more video please visit http://video.ias.edu
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
Proof: If There is a u-v Walk then there is a u-v Path | Every Walk Contains a Path, Graph Theory
PLEASE NOTE: The condition that u is not equal to v is not technically necessary, because the path described by the sequence ( u ) is considered a u-u path of length 0. If we allow this to be a path, the proof we go over covers this possibility with no changes necessary, and so the theorem
From playlist Graph Theory
12. Pseudorandom graphs II: second eigenvalue
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 What can be inferred about a graph from its second eigenv
From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019
Network Analysis. Lecture 11. Diffusion and random walks on graphs
Random walks on graph. Stationary distribution. Physical diffusion. Diffusion equation. Diffusion in networks. Discrete Laplace operator, Laplace matrix. Solution of the diffusion equation. Normalized Laplacian. Lecture slides: http://www.leonidzhukov.net/hse/2015/networks/lectures/lectu
From playlist Structural Analysis and Visualization of Networks.
Rumours, consensus and epidemics on networks (Lecture 3) by A Ganesh
PROGRAM: ADVANCES IN APPLIED PROBABILITY ORGANIZERS: Vivek Borkar, Sandeep Juneja, Kavita Ramanan, Devavrat Shah, and Piyush Srivastava DATE & TIME: 05 August 2019 to 17 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Applied probability has seen a revolutionary growth in resear
From playlist Advances in Applied Probability 2019
Ramanujan graphs of every degree - Daniel Spielman
Daniel Spielman Yale University November 6, 2014 We explain what Ramanujan graphs are, and prove that there exist infinite families of bipartite Ramanujan graphs of every degree. Our proof follows a plan suggested by Bilu and Linial, and exploits a proof of a conjecture of theirs about li
From playlist Mathematics
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
Networks: Part 2 - Oxford Mathematics 4th Year Student Lecture
Network Science provides generic tools to model and analyse systems in a broad range of disciplines, including biology, computer science and sociology. This course (we are showing the whole course over the next few weeks) aims at providing an introduction to this interdisciplinary field o
From playlist Oxford Mathematics Student Lectures - Networks