Trivially perfect graph

Empty Graph, Trivial Graph, and the Null Graph | Graph Theory

Whenever we talk about something that is defined by sets, it is important to consider the empty set and how it fits into the definition. In graph theory, empty sets in the definition of a particular graph can bring on three types/categories of graphs. The empty graphs, the trivial graph, a

From playlist Graph Theory

AQA Decision 1 3.03 Complete Graphs Kn

I introduce the concept of a complete graph and find how many edges there would be for a complete graph with n vertices.

From playlist [OLD SPEC] TEACHING AQA DECISION 1 (D1)

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

What are Irregular Graphs? (and why they are boring) | Graph Theory

What are irregular graphs? After learning about regular graphs, this is a natural question to ask. Irregular graphs are the opposite of regular graphs, which means that irregular graphs are graphs in which all vertices have distinct degrees. Equivalently, a graph is irregular if and only i

From playlist Graph 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

Graph Theory: 05. Connected and Regular Graphs

We give the definition of a connected graph and give examples of connected and disconnected graphs. We also discuss the concepts of the neighbourhood of a vertex and the degree of a vertex. This allows us to define a regular graph, and we give some examples of these. --An introduction to

From playlist Graph Theory part-1

Cubic graphs (from a table of values)

Powered by https://www.numerise.com/ Cubic graphs (from a table of values)

From playlist Important graphs

How Many Graphs on n Vertices? | Graph Theory

We count the number of simple graphs there are on n vertices. We are counting labeled graphs, so we're answering the question of how many graphs there are with vertex set {1, 2, 3, ..., n}. This requires we know how many edges are possible on n vertices, and then the result is straightforw

From playlist Graph Theory

Discrete Math - 10.1.1 Introduction to Graphs

A brief introduction to graphs including some terminology and discussion of types of graphs and their properties. 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)

The threshold for the square of a Hamilton cycleJinyoung Park

Computer Science/Discrete Mathematics Seminar II Topic: The threshold for the square of a Hamilton cycle Speaker: Jinyoung Park Affiliation: Member, School of Mathematics Date: October 20, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

Positive Grassmannian and polyhedral subdivisions – Alexander Postnikov – ICM2018

Combinatorics Invited Lecture 13.2 Positive Grassmannian and polyhedral subdivisions Alexander Postnikov Abstract: The nonnegative Grassmannian is a cell complex with rich geometric, algebraic, and combinatorial structures. Its study involves interesting combinatorial objects, such as po

From playlist Combinatorics

The Matching Problem in General Graphs is in Quasi-NC - Ola Svensson

Computer Science/Discrete Mathematics Seminar I Topic: The Matching Problem in General Graphs is in Quasi-NC Speaker: Ola Svensson Affiliation: École polytechnique fédérale de Lausanne Date: January 22, 2018 For more videos, please visit http://video.ias.edu

From playlist Mathematics

Thresholds - Jinyoung Park

Members’ Colloquium Topic: Thresholds Speaker: Jinyoung Park Affiliation: Stanford University Date: May 16, 2022 Thresholds for increasing properties of random structures are a central concern in probabilistic combinatorics and related areas.  In 2006, Kahn and Kalai conjectured that for

From playlist Mathematics

Alexander HULPKE - Computational group theory, cohomology of groups and topological methods 5

The lecture series will give an introduction to the computer algebra system GAP, focussing on calculations involving cohomology. We will describe the mathematics underlying the algorithms, and how to use them within GAP. Alexander Hulpke's lectures will being with some general computation

From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory

"Optimization, Complexity and Math ... using Gradient" - Knuth Prize Lecture, STOC 2019

More videos on http://video.ias.edu

From playlist Mathematics

Susanna Zimmermann: Signature morphisms from the Cremona group

Abstract: The plane Cremona group is the group of birational transformations of the projective plane. I would like to discuss why over algebraically closed fields there are no homomorphisms from the plane Cremona group to a finite group, but for certain non-closed fields there are (in fact

From playlist Algebraic and Complex Geometry

Randomized Greedy Algorithms for the Maximum Matching Problem with New Analysis - Mario Szegedy

Mario Szegedy Rutgers, The State University of New Jersey April 30, 2012 http://math.ias.edu/files/seminars/Szeg.pdf For more videos, visit http://video.ias.edu

From playlist Mathematics

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: 59. Maximal Planar Graphs

In this video we define a maximal planar graph and prove that if a maximal planar graph has n vertices and m edges then m = 3n-6. We use this to show that any planar graph with n vertices has at most 3n-6 edges. -- Bits of Graph Theory by Dr. Sarada Herke. Related videos: GT57 Planar G

From playlist Graph Theory part-10

Nexus Trimester - Ofer Shayevitz (Tel Aviv University)

Zero-error capacity for multiuser channels Ofer Shayevitz (Tel Aviv University) March,03 206 Abstract: The capacity of a point-to-point communication channel under a zero-error criterion was originally studied by Shannon in 1956. Despite the apparent simplicity of the problem, and in cont

From playlist Nexus Trimester - 2016 - Central Workshop