Graph families | Regular graphs | Algebraic graph theory
In the mathematical field of graph theory, a half-transitive graph is a graph that is both vertex-transitive and edge-transitive, but not symmetric. In other words, a graph is half-transitive if its automorphism group acts transitively upon both its vertices and its edges, but not on ordered pairs of linked vertices. Every connected symmetric graph must be vertex-transitive and edge-transitive, and the converse is true for graphs of odd degree, so that half-transitive graphs of odd degree do not exist. However, there do exist half-transitive graphs of even degree. The smallest half-transitive graph is the Holt graph, with degree 4 and 27 vertices. (Wikipedia).
Transitive Tournaments (Directed Graphs) | Graph Theory
We introduce transitive tournaments and look at some neat properties they possess! Recall a tournament graph is a directed graph with exactly one arc between each pair of vertices. In other words, it is an orientation of a complete graph. #GraphTheory We say a tournament T is transitive i
From playlist Graph Theory
What are Cycle Graphs? | Graph Theory, Graph Cycles, Cyclic Graphs
What are cycle graphs? We have talked before about graph cycles, which refers to a way of moving through a graph, but a cycle graph is slightly different. A cycle graph is what you would get if you took the vertices and edges of a graph cycle. We can think of cycle graphs as being path gra
From playlist Graph Theory
What is a Bipartite Graph? | Graph Theory
What is a bipartite graph? We go over it in today’s lesson! I find all of these different types of graphs very interesting, so I hope you will enjoy this lesson. A bipartite graph is any graph whose vertex set can be partitioned into two disjoint sets (called partite sets), such that all e
From playlist Graph Theory
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
Reflexive, Symmetric, and Transitive Relations on a Set
A relation from a set A to itself can be though of as a directed graph. We look at three types of such relations: reflexive, symmetric, and transitive. A relation is reflexive if every element relates to itself, that is has a little look from itself to itself. A relation is symmetric if
From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)
Ex 1: Conic Section - Graph a Hyperbola with Center at the Origin (Horizontal)
This video provides an example of how to graph and find the major components of a hyperbola given the standard equation of the hyperbola. The hyperbola has a horizontal transverse axis. Site: http:/mathispower4u.com Blog: http://mathispower4u.wordpress.com
From playlist Graphing and Writing Equations of Hyperbolas
Ex2: Graph a Quadratic Function in General Form
This video explains how to determine the x and y intercepts, equation of the axis of symmetry, and the vertex in order to graph a quadratic function. The function is NOT factorable. Site: http://mathispower4u.com Search: http://mathispower4u.wordpress.com
From playlist Graphing Quadratic Functions
Colouring Tournaments - Paul Seymour
Paul Seymour Princeton University December 13, 2010 A ``tournament'' is a digraph obtained from a complete graph by directing its edges, and ``colouring'' a tournament means partitioning its vertex set into acyclic subsets (``acyclic'' means the subdigraph induced on the subset has no dire
From playlist Mathematics
Networks: Part 6 - 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
Percolation: a Mathematical Phase Transition
—————SOURCES———————————————————————— Percolation – Béla Bollobás and Oliver Riordan Cambridge University Press, New York, 2006. Sixty Years of Percolation – Hugo Duminil-Copin https://www.ihes.fr/~duminil/publi/2018ICM.pdf Percolation – Geoffrey Grimmett volume 321 of Grundlehren der Ma
From playlist Prob and Stats
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
Regular permutation groups and Cayley graphs
Cheryl Praeger (University of Western Australia). Plenary Lecture from the 1st PRIMA Congress, 2009. Plenary Lecture 11. Abstract: Regular permutation groups are the 'smallest' transitive groups of permutations, and have been studied for more than a century. They occur, in particular, as
From playlist PRIMA2009
Geoffrey Grimmett (University of Cambridge, UK) by Geoffrey Grimmett
PROGRAM FIRST-PASSAGE PERCOLATION AND RELATED MODELS (HYBRID) ORGANIZERS: Riddhipratim Basu (ICTS-TIFR, India), Jack Hanson (City University of New York, US) and Arjun Krishnan (University of Rochester, US) DATE: 11 July 2022 to 29 July 2022 VENUE: Ramanujan Lecture Hall and online This
From playlist First-Passage Percolation and Related Models 2022 Edited
Percolation on Nonamenable Groups, Old And New (Lecture-4) by Tom Hutchcroft
PROGRAM: PROBABILISTIC METHODS IN NEGATIVE CURVATURE (ONLINE) ORGANIZERS: Riddhipratim Basu (ICTS - TIFR, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Mahan M J (TIFR, Mumbai) DATE & TIME: 01 March 2021 to 12 March 2021 VENUE: Online Due to the ongoing COVID pandemic, the meeting will
From playlist Probabilistic Methods in Negative Curvature (Online)
Underlying Graphs of Digraphs | Directed Graphs, Graph Theory
What are underlying graphs of directed graphs in graph theory? This is a sort of undirected graph that "underlies" or "lies under" a directed graph. But how is it actually defined? We'll go over that in today's video graph theory lesson! A simple way to define the underlying graph of a di
From playlist Graph Theory
Probability on Kazhdan Groups (Lecture 1) by Gábor Pete
PROGRAM: PROBABILISTIC METHODS IN NEGATIVE CURVATURE ORGANIZERS: Riddhipratim Basu (ICTS - TIFR, India), Anish Ghosh (TIFR, Mumbai, India), Subhajit Goswami (TIFR, Mumbai, India) and Mahan M J (TIFR, Mumbai, India) DATE & TIME: 27 February 2023 to 10 March 2023 VENUE: Madhava Lecture Hall
From playlist PROBABILISTIC METHODS IN NEGATIVE CURVATURE - 2023
Nexus trimester - David Gamarnik (MIT)
(Arguably) Hard on Average Optimization Problems and the Overlap Gap Property David Gamarnik (MIT) March 17, 2016 Abstract: Many problems in the area of random combinatorial structures and high-dimensional statistics exhibit an apparent computational hardness, even though the formal resu
From playlist 2016-T1 - Nexus of Information and Computation Theory - CEB Trimester
Анализ Социальных Сетей. Лекция 3. Случайные графы
Слайды: http://www.leonidzhukov.net/hse/2014/socialnetworks/lectures/lecture3.pdf Модель Erdos-Renyi. Распределение Бернулли и Пуассона. Функция распределния степеней. Фазовые переходы, возникновение связанной компоненты. Диаметр и кластерный коэффициент. Конфигурационная модель Random
From playlist Анализ Социальных Сетей. Курс НИУ ВШЭ
Limit Profiles of Reversible Markov Chains - Evita Nestoridi
Probability Seminar Topic: Limit Profiles of Reversible Markov Chains Speaker: Evita Nestoridi Affiliation: Stony Brook University, Princeton University Date: November 11, 2022 It all began with card shuffling. Diaconis and Shahshahani studied the random transpositions shuffle; pick two
From playlist Mathematics
Introduction to graph theory. Directed and undirected graph
From playlist Graph Theory