Computational problems in graph theory | Combinatorial optimization | Matching (graph theory) | Polynomial-time problems
In the mathematical discipline of graph theory, a matching or independent edge set in an undirected graph is a set of edges without common vertices. Finding a matching in a bipartite graph can be treated as a network flow problem. (Wikipedia).
Introduction to Matching in Bipartite Graphs (Hall's Marriage Theorem)
This video introduces matching in bipartite graphs. mathispower4u.com
From playlist Graph Theory (Discrete Math)
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
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
Bipartite Graphs: Determine a Matching of A if Possible
This video explains how to determine a matching of A in a bipartite and how to use Hall's Marriage theorem to explain why there I not a matching of A in a graph. mathispower4u.com
From playlist Graph Theory (Discrete Math)
Graph Theory FAQs: 04. Isomorphism vs Homomorphism
In this video we recall the definition of a graph isomorphism and then give the definition of a graph homomorphism. Then we look at two examples of graph homomorphisms and discuss a special case that relates to graph colourings. -- Graph Theory FAQs by Dr. Sarada Herke. Related videos:
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
Graph Theory: Isomorphisms and Connectedness
This video is about isomorphisms between graphs and connectedness of graphs.
From playlist Basics: Graph Theory
Proof: Hall's Marriage Theorem for Bipartite Matchings | Graph Theory
A bipartite graph G with partite sets U and W, where |U| is less than or equal to |W|, contains a matching of cardinality |U|, as in, a matching that covers U, if and only if for every subset S of U, |S| is less than or equal to the cardinality of the neighborhood of S (as in - S has as ma
From playlist Graph Theory
Hall's Theorem and Condition for Bipartite Matchings | Graph Theory, Hall's Marriage Theorem
What are Hall's Theorem and Hall's Condition for bipartite matchings in graph theory? Also sometimes called Hall's marriage theorem, we'll be going it in today's video graph theory lesson! A bipartite graph with partite sets U and W, where U has as many or fewer vertices than W, satisfie
From playlist Graph Theory
What are Isomorphic Graphs? | Graph Isomorphism, Graph Theory
How do we formally describe two graphs "having the same structure"? The term for this is "isomorphic". Two graphs that have the same structure are called isomorphic, and we'll define exactly what that means with examples in today's video graph theory lesson! Check out the full Graph Theor
From playlist Graph Theory
Hypergraph matchings and designs – Peter Keevash – ICM2018
Combinatorics Invited Lecture 13.10 Hypergraph matchings and designs Peter Keevash Abstract: We survey some aspects of the perfect matching problem in hypergraphs, with particular emphasis on structural characterisation of the existence problem in dense hypergraphs and the existence of d
From playlist Combinatorics
Graph Theory and Aromaticity (SoME #1)
Introductions to Graph Theory: Wrath of Math: https://www.youtube.com/watch?v=chdr2aj4FUc TheTrevTutor: https://www.youtube.com/watch?v=HkNdNpKUByM Introductions to Resonance: LibreTexts: tinyurl.com/y4qfezh6 The Organic Chemistry Tutor: https://www.youtube.com/watch?v=9B5FGPDwX_E Refere
From playlist Summer of Math Exposition Youtube Videos
9. HQET Matching & Power Corrections
MIT 8.851 Effective Field Theory, Spring 2013 View the complete course: http://ocw.mit.edu/8-851S13 Instructor: Iain Stewart In this lecture, the professor discussed detailed matching calculation, velocity dependent anomalous dimension and Wilson coefficients, power corrections and repar
From playlist MIT 8.851 Effective Field Theory, Spring 2013
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
Monomer Percolation by Kedar Damle
PROGRAM FRUSTRATED METALS AND INSULATORS (HYBRID) ORGANIZERS Federico Becca (University of Trieste, Italy), Subhro Bhattacharjee (ICTS-TIFR, India), Yasir Iqbal (IIT Madras, India), Bella Lake (Helmholtz-Zentrum Berlin für Materialien und Energie, Germany), Yogesh Singh (IISER Mohali, In
From playlist FRUSTRATED METALS AND INSULATORS (HYBRID, 2022)
Due to the COVID-19 pandemic, Carnegie Mellon University is protecting the health and safety of its community by holding all large classes online. People from outside Carnegie Mellon University are welcome to tune in to see how the class is taught, but unfortunately Prof. Loh will not be o
From playlist CMU 21-228 Discrete Mathematics
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