Perfect graph

What is a Complete Graph? | Graph Theory

What is a complete graph? That is the subject of today's lesson! A complete graph can be thought of as a graph that has an edge everywhere there can be an edge. This means that a graph is complete if and only if every pair of distinct vertices in the graph is joined by an edge. So if, in a

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

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

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)

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

What are Complete Bipartite Graphs? | Graph Theory, Bipartite Graphs

What are complete bipartite graphs? We'll define complete bipartite graphs and show some examples and non-examples in today's video graph theory lesson! Remember a graph G = (V, E) is bipartite if the vertex set V can be partitioned into two sets V1 and V2 (called partite sets) such that

From playlist Graph Theory

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: 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

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

Bipartite perfect matching is in quasi-NC - Fenner

Computer Science/Discrete Mathematics Seminar I Topic: Bipartite perfect matching is in quasi-NC Speaker: Stephen Fenner Date:Monday, February 8 We show that the bipartite perfect matching problem is in quasi 𝖭𝖢2quasi-NC2. That is, it has uniform circuits of quasi-polynomial size and O(

From playlist Mathematics

Marcin Sabok: Perfect matchings in hyperfinite graphings

Recorded during the meeting "XVI International Luminy Workshop in Set Theory" the September 16, 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's Au

From playlist Probability and Statistics

Fun with Graphs: Rock Paper Scissors Lizard Spock - (part 6)

Rock-Paper-Scissors-Lizard-Spock and Other Uses for the Complete Graph (part 6) A talk by Dr. Sarada Herke If you have ever played Rock-Paper-Scissors, then you have actually played with a complete graph (yes, a very small one). In this 6-part talk we will look at generalisations of this

From playlist Fun with Graphs: Rock Paper Scissors Lizard Spock

Dimers, networks, and integrable systems - Anton Izosimov

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: Dimers, networks, and integrable systems Speaker: Anton Izosimov Affiliation: The University of Arizona Date: March 18, 2022 I will review two combinatorial constructions of integrable systems: Goncharov-Keny

From playlist Mathematics

Lecture 24 - Matching

This is Lecture 24 of the CSE547 (Discrete Mathematics) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1999. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/math-video/slides/Lecture%2024.pdf More information may

From playlist CSE547 - Discrete Mathematics - 1999 SBU

Matchings, Perfect Matchings, Maximum Matchings, and More! | Independent Edge Sets, Graph Theory

What are matchings, perfect matchings, complete matchings, maximal matchings, maximum matchings, and independent edge sets in graph theory? We'll be answering that great number of questions in today's graph theory video lesson! A matching in a graph is a set of edges with no common end-ve

From playlist Graph Theory

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

The Colorful Connected Subgraph Problem - Richard Karp

A Celebration of Mathematics and Computer Science Celebrating Avi Wigderson's 60th Birthday October 5 - 8, 2016 More videos on http://video.ias.edu

From playlist Mathematics

Cluster algebras from surfaces II: ... (Lecture 3) by Jon Wilson

PROGRAM :SCHOOL ON CLUSTER ALGEBRAS ORGANIZERS :Ashish Gupta and Ashish K Srivastava DATE :08 December 2018 to 22 December 2018 VENUE :Madhava Lecture Hall, ICTS Bangalore In 2000, S. Fomin and A. Zelevinsky introduced Cluster Algebras as abstractions of a combinatoro-algebra

From playlist School on Cluster Algebras 2018

Proof: Regular Bipartite Graph has a Perfect Matching | Graph Theory

An r-regular bipartite graph, with r at least 1, will always have a perfect matching. We prove this result about bipartite matchings in today's graph theory video lesson using Hall's marriage theorem for bipartite matchings. Recall that a perfect matching is a matching that covers every ve

From playlist Graph Theory

Perfect Graphs - Numberphile

This continues from our planar graphs video with Maria Chudnovsky at https://youtu.be/xBkTIp6ajAg More links & stuff in full description below ↓↓↓ Four color map theorem (video): https://youtu.be/NgbK43jB4rQ The strong perfect graph theorem (paper): https://arxiv.org/abs/math/0212070 Pr

From playlist Women in Mathematics - Numberphile