Map (graph theory)

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

Graph Theory: 02. Definition of a Graph

In this video we formally define what a graph is in Graph Theory and explain the concept with an example. In this introductory video, no previous knowledge of Graph Theory will be assumed. --An introduction to Graph Theory by Dr. Sarada Herke. This video is a remake of the "02. Definitio

From playlist Graph Theory part-1

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

Graph Theory: 57. Planar Graphs

A planar graph is a graph that can be drawn in the plane without any edge crossings. Such a drawing (with no edge crossings) is called a plane graph. A given plane graph divides the plane into regions and each region has a boundary that outlines it. We look at some examples and also giv

From playlist Graph Theory part-10

Graph Theory: 04. Families of Graphs

This video describes some important families of graph in Graph Theory, including Complete Graphs, Bipartite Graphs, Paths and Cycles. --An introduction to Graph Theory by Dr. Sarada Herke. Links to the related videos: https://www.youtube.com/watch?v=S1Zwhz-MhCs (Graph Theory: 02. Definit

From playlist Graph Theory part-1

The Definition of a Graph (Graph Theory)

The Definition of a Graph (Graph Theory) mathispower4u.com

From playlist Graph Theory (Discrete Math)

Planar graphs

Planar graphs, What are planar graphs? In this video we take a look at what a planar graph is and how Mathematica can check to see if a graph is planar. In short, a planar graph is one that can be drawn in the plane such that no edges cross. If you want to learn more about Mathematica,

From playlist Introducing graph theory

Introduction to Graph Theory

This lesson introduces graph theory and defines the basic vocabulary used in graph theory. Site: http://mathispower4u.com

From playlist Graph Theory

Walks trails paths and cycles

In this tutorial I explore the concepts of walks, trails, paths, cycles, and the connected graph.

From playlist Introducing graph theory

Joel Friedman - Sheaves on Graphs, L^2 Betti Numbers, and Applications.

Joel Friedman (University of British Columbia, Canada) Sheaf theory and (co)homology, in the generality developed by Grothendieck et al., seems to hold great promise for applications in discrete mathematics. We shall describe sheaves on graphs and their applications to (1) solving the

From playlist T1-2014 : Random walks and asymptopic geometry of groups.

8ECM Abel Lecture: László Lovász

From playlist 𝙋𝙧𝙞𝙯𝙚 𝙇𝙚𝙘𝙩𝙪𝙧𝙚𝙨

Simon Brain: The Gysin Sequence for Quantum Lens Spaces

This is a joint with Francesca Arici and Giovanni Landi. We construct an analogue of the Gysin sequence for circle bundles, now for q-deformed lens spaces in the sense of Vaksman-Soibelman. Our proof that the sequence is exact relies heavily on the non commutative APS index theory of Care

From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"

Graph Theory FAQs: 02. Graph Automorphisms

An automorphism of a graph G is an isomorphism between G and itself. The set of automorphisms of a graph forms a group under the operation of composition and is denoted Aut(G). The automorphisms of a graph describe the symmetries of the graph. We look at a few examples of graphs and det

From playlist Graph Theory FAQs

Wolfram Physics Project: Relations to Category Theory

Stephen Wolfram and special guests discuss the Wolfram Physics Project and its relations to Category Theory. Begins at 9:50 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the announc

From playlist Wolfram Physics Project Livestream Archive

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

AMMI 2022 Course "Geometric Deep Learning" - Lecture 11 (Beyond Groups) - Petar Veličković

Video recording of the course "Geometric Deep Learning" taught in the African Master in Machine Intelligence in July 2022 by Michael Bronstein (Oxford), Joan Bruna (NYU), Taco Cohen (Qualcomm), and Petar Veličković (DeepMind) Lecture 11: Category Theory • Set category • Functors • Natural

From playlist AMMI Geometric Deep Learning Course - Second Edition (2022)

Global symmetry from local information: The Graph Isomorphism Problem – László Babai – ICM2018

Combinatorics | Mathematical Aspects of Computer Science Invited Lecture 13.4 | 14.5 Global symmetry from local information: The Graph Isomorphism Problem László Babai Abstract: Graph Isomorphism (GI) is one of a small number of natural algorithmic problems with unsettled complexity stat

From playlist Combinatorics

When invariants are equivalent - Jean Pierre Mutanguha

Short Talks by Postdoctoral Members Topic: When invariants are equivalent Speaker: Jean Pierre Mutanguha Affiliation: Member, School of Mathematics Date: September 28, 2021

From playlist Mathematics

Graph Theory: 03. Examples of Graphs

We provide some basic examples of graphs in Graph Theory. This video will help you to get familiar with the notation and what it represents. We also discuss the idea of adjacent vertices and edges. --An introduction to Graph Theory by Dr. Sarada Herke. Links to the related videos: https

From playlist Graph Theory part-1

Neural Sheaf Diffusion: A Topological Perspective on Heterophily and Oversmoothing in GNNs

❤️ Become The AI Epiphany Patreon ❤️ https://www.patreon.com/theaiepiphany 👨‍👩‍👧‍👦 Join our Discord community 👨‍👩‍👧‍👦 https://discord.gg/peBrCpheKE In this video I cover "Neural Sheaf Diffusion: A Topological Perspective on Heterophily and Oversmoothing in GNNs" paper. The paper takes id

From playlist Graph Neural Nets