In mathematics, random graph is the general term to refer to probability distributions over graphs. Random graphs may be described simply by a probability distribution, or by a random process which generates them. The theory of random graphs lies at the intersection between graph theory and probability theory. From a mathematical perspective, random graphs are used to answer questions about the properties of typical graphs. Its practical applications are found in all areas in which complex networks need to be modeled – many random graph models are thus known, mirroring the diverse types of complex networks encountered in different areas. In a mathematical context, random graph refers almost exclusively to the Erdős–Rényi random graph model. In other contexts, any graph model may be referred to as a random graph. (Wikipedia).
Randomly Generated 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
Conceptual Questions about Random Variables and Probability Distributions
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Conceptual Questions about Random Variables and Probability Distributions
From playlist Statistics
Statistics: Ch 5 Discrete Random Variable (1 of 27) What is a Random Variable?
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn a random variable is a variable which represents the outcome of a trial, an experiment, or an event. It is a specific n
From playlist STATISTICS CH 5 DISCRETE RANDOM VARIABLE
On the Number of Hamilton Cycles in Psdueo-Random Graphs - Michael Krivelevich
Michael Krivelevich Tel Aviv University October 17, 2011 A pseudo-random graph is a graph G resembling a typical random graph of the same edge density. Pseudo-random graphs are expected naturally to share many properties of their random counterparts. In particular, many of their enumerati
From playlist Mathematics
Graph Neural Networks, Session 2: Graph Definition
Types of Graphs Common data structures for storing graphs
From playlist Graph Neural Networks (Hands-on)
Prob & Stats - Random Variable & Prob Distribution (1 of 53) Random Variable
Visit http://ilectureonline.com for more math and science lectures! In this video I will define and gives an example of what is a random variable. Next video in series: http://youtu.be/aEB07VIIfKs
From playlist iLecturesOnline: Probability & Stats 2: Random Variable & Probability Distribution
Discrete Math - 7.2.2 Random Variables and the Binomial Distribution
Introduction to random variables and finding probability of an event or cumulative probability using the binomial distribution. Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https://www.youtube.com/playlist?list=PLl-gb0E4MII28GykmtuBXNUNoej-vY5Rz
From playlist Discrete Math I (Entire Course)
A Few Conceptual Examples with Statistical Graphs
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys A Few Conceptual Examples with Statistical Graphs
From playlist Statistics
13. Sparse regularity and the Green-Tao theorem
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 After discussion of Ramanujan graphs, Prof. Zhao discusse
From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019
A glimpse of continuous combinatorics via natural quasirandomness - Leonardo Coregliano
Short Talks by Postdoctoral Members Topic: A glimpse of continuous combinatorics via natural quasirandomness Speaker: Leonardo Coregliano Affiliation: Member, School of Mathematics Date: September 23, 2021
From playlist Mathematics
Many Nodal Domains in Random Regular Graphs by Nikhil Srivastava
COLLOQUIUM MANY NODAL DOMAINS IN RANDOM REGULAR GRAPHS SPEAKER: Nikhil Srivastava (University of California, Berkeley) DATE: Tue, 21 December 2021, 16:30 to 18:00 VENUE:Online Colloquium ABSTRACT Sparse random regular graphs have been proposed as discrete toy models of physical sys
From playlist ICTS Colloquia
Introduction to Natural Quasirandomness: Unique Colorability and Order-ability - Leonardo Coregliano
Computer Science/Discrete Mathematics Seminar II Topic: Introduction to Natural Quasirandomness: Unique Colorability and Orderability Speaker: Leonardo Coregliano Affiliation: Member, School of Mathematics Date: November 08, 2022 The theory of graph quasirandomness studies sequences of g
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
Random Cayley Graphs - Noga Alon
Noga Alon Tel Aviv University; Member, School of Mathematics November 25, 2013 The study of random Cayley graphs of finite groups is related to the investigation of Expanders and to problems in Combinatorial Number Theory and in Information Theory. I will discuss this topic, describing the
From playlist Mathematics
Statistical physics of random CSPs - Nike Sun
Marston Morse Lectures Topic: Statistical physics of random CSPs Speaker: Nike Sun Affiliation: Massachusetts Institute of Technology Date: April 19, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
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
What is the limit of a sequence of graphs?? | Benjamini-Schramm Convergence
This is an introduction to the mathematical concept of Benjamini-Schramm convergence, which is a type of graph limit theory which works well for sparse graphs. We hope that most of it is understandable by a wide audience with some mathematical background (including some prior exposure to g
From playlist Summer of Math Exposition Youtube Videos
On the effect of randomness on planted 3-coloring models - Uri Feige
Computer Science/Discrete Mathematics Seminar I Topic: On the effect of randomness on planted 3-coloring models Speaker: Uri Feige Affiliation: Weizmann Institute of Science Date: Monday, November 21 For more video, visit http://video.ias.edu
From playlist Mathematics
Spectral Geometry of Random Graphs - Igor Rivin
Igor Rivin Temple University; Member, School of Mathematics October 20, 2010 we will describe various models of sparse and planar graphs and the associated distributions of eigenvalues (and eigenvalue spacings) which come up. The talk will be light on theorems, and heavy on experimental da
From playlist Mathematics