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
Introduction to graph theory. Directed and undirected graph
From playlist Graph Theory
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
The Astonishing Implicit Function Theorem
Video about the Implicit Function Theorem (multivariable calculus topic). Despite being a topic from multivariable calculus, the content here is designed to be accessible to any people who have taken at least one course of single variable calculus. #math #multivariablecalculus #SoME2 #3b1b
From playlist Summer of Math Exposition 2 videos
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
Michael BORINSKY - The Euler Characteristic of Out(Fn) and the Hopf Algebra of Graphs
In their 1986 work, Harer and Zagier gave an expression for the Euler characteristic of the moduli space of curves, M_gn, or equivalently the mapping class group of a surface. Recently, in joint work with Karen Vogtmann, we performed a similar analysis for Out(Fn), the outer automorphism g
From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday
11/16/2019, Jonathan Kirby, University of East Anglia
Jonathan Kirby, University of East Anglia Local Definability of Holomorphic Functions Given a collection F of complex or real analytic functions, one can ask what other functions are obtainable from them by finitary algebraic operations. If we just mean polynomial operations we get some
From playlist Fall 2019 Kolchin Seminar in Differential Algebra
Summary for solving and graphing compound inequalities
👉 Learn all about solving and graphing compound inequalities. An inequality is a statement in which one value is not equal to the other value. A compound inequality is a type of inequality comprising of more than one inequalities. To solve a compound inequality, we use inverse operations
From playlist Solve Compound Inequalities
How to graph compound inequalities
👉 Learn all about solving and graphing compound inequalities. An inequality is a statement in which one value is not equal to the other value. A compound inequality is a type of inequality comprising of more than one inequalities. To solve a compound inequality, we use inverse operations
From playlist Solve Compound Inequalities
On a universal limit conjecture...graphs - Lior Alon
Analysis - Mathematical Physics Topic: On a universal limit conjecture for the nodal count statistics of quantum graphs Speaker: Lior Alon Affiliation: Technion Date: Friday, October 11 More videos on http://video.ias.edu
From playlist Mathematics
Towards universality of the nodal statistics on metric graphs - Lior Alon
Analysis Seminar Topic: Towards universality of the nodal statistics on metric graphs Speaker: Lior Alon Affiliation: Member, School of Mathematics Date: October 12, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Mathematical theories start with axioms, but penultimate to that is the definition. When we go to learn, what's the best definition to commit to memory? Here we talk about Graph Theory and I give you 3 definitions to choose from. Which would you use?
From playlist Summer of Math Exposition 2 videos
Richard Thomas - Vafa-Witten Invariants of Projective Surfaces 2/5
This course has 4 sections split over 5 lectures. The first section will be the longest, and hopefully useful for the other courses. - Sheaves, moduli and virtual cycles - Vafa-Witten invariants: stable and semistable cases - Techniques for calculation --- virtual degeneracy loci, cosecti
From playlist 2021 IHES Summer School - Enumerative Geometry, Physics and Representation 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
The Arnold conjecture via Symplectic Field Theory polyfolds -Ben Filippenko
Symplectic Dynamics/Geometry Seminar Topic: The Arnold conjecture via Symplectic Field Theory polyfolds Speaker: Ben Filippenko Affiliation: University of California, Berkeley Date: April 1, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
What do you need to know to solve compound inequalities
👉 Learn all about solving and graphing compound inequalities. An inequality is a statement in which one value is not equal to the other value. A compound inequality is a type of inequality comprising of more than one inequalities. To solve a compound inequality, we use inverse operations
From playlist Solve Compound Inequalities
AMMI 2022 Course "Geometric Deep Learning" - Seminar 2 (Subgraph GNNs) - Fabrizio Frasca
Video recording of the course "Geometric Deep Learning" taught in the African Master in Machine Intelligence in July 2022 Seminar 2 - Subgraphs for more powerful GNNs - Fabrizio Frasca (Twitter) Slides: https://www.dropbox.com/s/tnuhppf1fqmv6y9/AIMS%202020%20-%20Seminar%202%20-%20Subgra
From playlist AMMI Geometric Deep Learning Course - Second Edition (2022)
Sergey Fomin: Morsifications and mutations
Abstract: I will discuss a connection between the topology of isolated singularities of plane curves and the mutation equivalence of the quivers associated with their morsifications. Joint work with Pavlo Pylyavskyy, Eugenii Shustin, and Dylan Thurston. Recording during the thematic meeti
From playlist Topology
Proof: Ore's Theorem for Hamiltonian Graphs | Sufficient Condition for Hamilton Graphs, Graph Theory
What is Ore's Theorem for Hamiltonian graphs and how do we prove it? Ore's Theorem gives us a sufficient condition for a graph to have a Hamiltonian cycle and therefore be a Hamiltonian or Hamilton graph. The theorem tells us that if, in a graph with order n greater than or equal to 3, the
From playlist Graph Theory