Abstract algebra | Group theory | Application-specific graphs
In group theory, a subfield of abstract algebra, a group cycle graph illustrates the various cycles of a group and is particularly useful in visualizing the structure of small finite groups. A cycle is the set of powers of a given group element a, where an, the n-th power of an element a is defined as the product of a multiplied by itself n times. The element a is said to generate the cycle. In a finite group, some non-zero power of a must be the group identity, e; the lowest such power is the order of the cycle, the number of distinct elements in it. In a cycle graph, the cycle is represented as a polygon, with the vertices representing the group elements, and the connecting lines indicating that all elements in that polygon are members of the same cycle. (Wikipedia).
What is a Graph Cycle? | Graph Theory, Cycles, Cyclic Graphs, Simple Cycles
What is a graph cycle? In graph theory, a cycle is a way of moving through a graph. We can think of a cycle as being a sequence of vertices in a graph, such that consecutive vertices are adjacent, and all vertices are distinct except for the first and last vertex, which are required to be
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 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
Graph Theory Talk: Graphs, Edges, Vertices, Adjacency Matrix and it's Eigenvalues
Graph Theory Stuff: Graphs, Edges, Vertices, Adjacency Matrix and it's Eigenvalues
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)
In this tutorial I explore the concepts of walks, trails, paths, cycles, and the connected graph.
From playlist Introducing graph theory
Intro to Tree Graphs | Trees in Graph Theory, Equivalent Definitions
What are trees in graph theory? Tree graphs are connected graphs with no cycles. We'll introduce them and some equivalent definitions, with of course examples of tree graphs in today's graph theory video lesson! Some equivalent definitions of tree graphs are as follows. A graph is a tree
From playlist Graph Theory
The Graph of a Line as a Set of Vectors, The Definition of Scalar Multiplication and it's Properties
The Graph of a Line as a Set of Vectors, The Definition of Scalar Multiplication and it's Properties - Key example of writing the graph of a line as a set of vectors. - Definition of scalar multiplication - Closure of scalar multiplication. - Commutative property for scalar multiplication
From playlist Linear Algebra
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
Lukas NABERGALL - Tree-like Equations from the Connes-Kreimer Hopf Algebra...
Tree-like Equations from the Connes-Kreimer Hopf Algebra and the Combinatorics of Chord Diagrams We describe how certain analytic Dyson-Schwinger equations and related tree-like equations arise from the universal property of the Connes-Kreimer Hopf algebra applied to Hopf subalgebras o
From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday
Circuits, Graph Theory, and Linear Algebra | #some2
This is a submission for the Summer of Math Exposition #2 by Peter C and Akshay S, who are high school students interested in math. Spiritual enthusiasm result from https://www.youtube.com/watch?v=eyuNrm4VK2w The crux of this video was motivated by Gilbert Strang's textbook on linear alg
From playlist Summer of Math Exposition 2 videos
Joseph Bengeloun - Quantum Mechanics of Bipartite Ribbon Graphs...
Quantum Mechanics of Bipartite Ribbon Graphs: A Combinatorial Interpretation of the Kronecker Coefficient. The action of subgroups on a product of symmetric groups allows one to enumerate different families of graphs. In particular, bipartite ribbon graphs (with at most edges) enumerate
From playlist Combinatorics and Arithmetic for Physics: 02-03 December 2020
Sarah Reznikoff: Regular ideals and regular inclusions
Talk in Global Noncommutative Geometry Seminar (Europe) on April 20, 2022
From playlist Global Noncommutative Geometry Seminar (Europe)
Forbidden Patterns in Tropical Planar Curves by Ayush Kumar Tewari
PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME 27 June 2022 to 08 July 2022 VENUE Madhava Lecture Hall and Online Algebraic geometry is the stu
From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)
Volodymyr Nekrashevych: Contracting self-similar groups and conformal dimension
HYBRID EVENT Recorded during the meeting "Advancing Bridges in Complex Dynamics" the September 20, 2021 by 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 Dynamical Systems and Ordinary Differential Equations
Dimers and Integrability - Richard Kenyon
Richard Kenyon Brown University March 29, 2013 This is joint work with A. B. Goncharov. To any convex integer polygon we associate a Poisson variety, which is essentially the moduli space of connections on line bundles on (certain) bipartite graphs on a torus. There is an underlying integr
From playlist Mathematics
Walter Van SUIJLEKOM - Renormalization Hopf Algebras and Gauge Theories
We give an overview of the Hopf algebraic approach to renormalization, with a focus on gauge theories. We illustrate this with Kreimer's gauge theory theorem from 2006 and sketch a proof. It relates Hopf ideals generated by Slavnov-Taylor identities to the Hochschild cocycles that are give
From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday
Omer Bobrowski: Random Simplicial Complexes, Lecture I
A simplicial complex is a collection of vertices, edges, triangles, tetrahedra and higher dimensional simplexes glued together. In other words, it is a higher-dimensional generalization of a graph. In recent years there has been a growing effort in developing the theory of random simplicia
From playlist Workshop: High dimensional spatial random systems
Section 4b: Graph Connectivity
From playlist Graph Theory
Nonlinear algebra, Lecture 6: "Tropical Algebra", by Bernd Sturmfels
This is the sixth lecture in the IMPRS Ringvorlesung, the advanced graduate course at the Max Planck Institute for Mathematics in the Sciences. This lecture is an introduction to tropical algebra and combinatorics.
From playlist IMPRS Ringvorlesung - Introduction to Nonlinear Algebra