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
The Definition of a Graph (Graph Theory)
The Definition of a Graph (Graph Theory) mathispower4u.com
From playlist Graph Theory (Discrete Math)
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
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
Simple Bounds on Vertex Connectivity | Graph Theory
We know that the vertex connectivity of a graph is the minimum number of vertices that can be deleted to disconnect it or make it trivial. We may then ask, what is an upper bound on the connectivity of a graph? What is a lower bound on the vertex connectivity of a graph? We give the most b
From playlist Graph Theory
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
Graph Neural Networks, Session 2: Graph Definition
Types of Graphs Common data structures for storing graphs
From playlist Graph Neural Networks (Hands-on)
Empty Graph, Trivial Graph, and the Null Graph | Graph Theory
Whenever we talk about something that is defined by sets, it is important to consider the empty set and how it fits into the definition. In graph theory, empty sets in the definition of a particular graph can bring on three types/categories of graphs. The empty graphs, the trivial graph, a
From playlist Graph Theory
A Tight Bound for Hypergraph Regularity - Guy Moshkovitz
Computer Science/Discrete Mathematics Seminar I Topic: A Tight Bound for Hypergraph Regularity Speaker: Guy Moshkovitz Affiliation: Harvard University Date: Febuary 27, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Lower bounds for subgraph isomorphism – Benjamin Rossman – ICM2018
Mathematical Aspects of Computer Science Invited Lecture 14.3 Lower bounds for subgraph isomorphism Benjamin Rossman Abstract: We consider the problem of determining whether an Erdős–Rényi random graph contains a subgraph isomorphic to a fixed pattern, such as a clique or cycle of consta
From playlist Mathematical Aspects of Computer Science
Nexus Trimester - Ofer Shayevitz (Tel Aviv University)
Zero-error capacity for multiuser channels Ofer Shayevitz (Tel Aviv University) March,03 206 Abstract: The capacity of a point-to-point communication channel under a zero-error criterion was originally studied by Shannon in 1956. Despite the apparent simplicity of the problem, and in cont
From playlist Nexus Trimester - 2016 - Central Workshop
Maria CHUDNOVKY - Induced subgraphs and tree decompositions
https://ams-ems-smf2022.inviteo.fr/
From playlist International Meeting 2022 AMS-EMS-SMF
Francisco Martinez Figueroa (8/19/22): Chromatic number of G-Borsuk graphs
The Borsuk graph has vertex set the sphere S^d, and edges x∼y whenever x and y are ϵ-almost antipodal. It is well known that when epsilon is small, its chromatic number is d+2, which follows from the topology of S^d via Borsuk-Ulam's Theorem. Given a finite group G acting freely over a com
From playlist Vietoris-Rips Seminar
The communication complexity of distributed subgraph detection - Rotem Oshman
Rotem Oshman Tel Aviv University October 6, 2014 In distributed systems, communication between the participants in the computation is usually the most expensive part of the computation. Theoretical models of distributed systems usually reflect this by neglecting the cost of local computat
From playlist Mathematics
A Regularity Lemma with Modifications - Guy Moshkovitz
Computer Science/Discrete Mathematics Seminar II Topic: A Regularity Lemma with Modifications Speaker: Guy Moshkovitz Affiliation: Member, School of Mathematics Date: January 29, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Graph regularity and counting lemmas - Jacob Fox
Conference on Graphs and Analysis Jacob Fox June 5, 2012 More videos on http://video.ias.edu
From playlist Mathematics
Dependent random choice - Jacob Fox
Marston Morse Lectures Topic: Dependent random choice Speaker: Jacob Fox, Stanford University Date: October 26, 2016 For more videos, visit http://video.ias.edu
From playlist Mathematics
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
Expanders and Communication-Avoiding Algorithms - Oded Schwartz
Oded Schwartz Technical University Berlin January 25, 2010 Algorithms spend time on performing arithmetic computations, but often more on moving data, between the levels of a memory hierarchy and between parallel computing entities. Judging by the hardware evolution of the last few decades
From playlist Mathematics