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 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
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
Neighborhood of a Vertex | Open and Closed Neighborhoods, Graph Theory
What is the neighborhood of a vertex? Remember that the neighbors of a vertex are its adjacent vertices. So what do you think its neighborhood is? We’ll be going over neighborhoods, both open neighborhoods and closed neighborhoods, and an alternative definition of neighborhood, in today’s
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)
Introduction to Trees and Properties of Trees
This video introduces defines and gives the properties of tree graphs. mathispower4u.com
From playlist Graph Theory (Discrete Math)
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)
Closed Intervals, Open Intervals, Half Open, Half Closed
00:00 Intro to intervals 00:09 What is a closed interval? 02:03 What is an open interval? 02:49 Half closed / Half open interval 05:58 Writing in interval notation
From playlist Calculus
A formal definition of a Graph and its properties
From playlist Graph Theory
High Dimensional Expansion and Error Correcting Codes - Irit Dinur
Hermann Weyl Lectures Topic: High Dimensional Expansion and Error Correcting Codes Speaker: Irit Dinur Affiliation: Weizmann Institute of Science; Visiting Professor, School of Mathematics Date: November 19, 2019 For more video please visit http://video.ias.edu
From playlist Hermann Weyl Lectures
Non-amenable groups admitting no sofic approximation by expander graphs - Gabor Kun
Stability and Testability Topic: Non-amenable groups admitting no sofic approximation by expander graphs Speaker: Gabor Kun Affiliation: Alfréd Rényi Institute of Mathematics Date: February 10, 2021 For more video please visit http://video.ias.edu
From playlist Stability and Testability
List decoding with double samplers - Inbal Livni-Navon
Computer Science/Discrete Mathematics Seminar I Topic: List decoding with double samplers Speaker: Inbal Livni-Navon Affiliation: Weizmann Institute Date: December 6, 2021 The ABNNR encoding is a classical encoding scheme that amplifies the distance of an error correcting code. The enco
From playlist Mathematics
Artem Chernikov: Graph regularity and incidence phenomena in distal structures
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Logic and Foundations
Paolo Boldi - Axioms for centrality: rank monotonicity for PageRank
https://indico.math.cnrs.fr/event/3475/attachments/2180/2562/Boldi_GomaxSlides.pdf
From playlist Google matrix: fundamentals, applications and beyond
Automorphism groups and Ramsey properties of sparse graphs - D. Evans - Workshop 1 - CEB T1 2018
David Evans (Imperial) / 30.01.2018 An infinite graph is sparse if there is a positive integer k such that for every finite subgraph, the number of edges is bounded above by k times the number of vertices. Such graphs arise in model theory via Hrushovskis predimension constructions. In jo
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
Ana Khukhro - Geometric rigidity of finite quotients of groups
The set of finite quotients of a group can provide a lot of information about the group if this set is sufficiently rich. This is the case for a residually finite group, and studying its finite quotients geometrically has many implications for algebraic and analytic aspects of the group
From playlist Groupes, géométrie et analyse : conférence en l'honneur des 60 ans d'Alain Valette
Nicolás García Trillos: "From clustering with graph cuts to isoperimetric inequalities..."
High Dimensional Hamilton-Jacobi PDEs 2020 Workshop II: PDE and Inverse Problem Methods in Machine Learning "From clustering with graph cuts to isoperimetric inequalities: quantitative convergence rates of Cheeger cuts on data clouds" Nicolás García Trillos - University of Wisconsin-Madis
From playlist High Dimensional Hamilton-Jacobi PDEs 2020
The PCP theorem, locally testable codes, and property testing - Irit Dinur
Stability and Testability Topic: The PCP theorem, locally testable codes, and property testing Speaker: Irit Dinur Affiliation: Weizmann Institute of Science Date: January 13, 2021 For more video please visit http://video.ias.edu
From playlist Stability and Testability
Marinka Zitnik (3/31/21): Graph representation learning and its applications to biomedicine
Title: Graph representation learning and its applications to biomedicine Abstract: The success of machine learning depends heavily on the choice of representations used for prediction tasks. Graph representation learning has emerged as a predominant choice for learning representations of
From playlist AATRN 2021
Weakly Connected Directed Graphs | Digraph Theory
What is a connected digraph? When we start considering directed graphs, we have to rethink our definition of connected. We say that an undirected graph is connected if there exists a path connecting every pair of vertices. However, in a directed graph, we need to be more specific since it
From playlist Graph Theory