Maximum cardinality matching is a fundamental problem in graph theory.We are given a graph G, and the goal is to find a matching containing as many edges as possible; that is, a maximum cardinality subset of the edges such that each vertex is adjacent to at most one edge of the subset. As each edge will cover exactly two vertices, this problem is equivalent to the task of finding a matching that covers as many vertices as possible. An important special case of the maximum cardinality matching problem is when G is a bipartite graph, whose vertices V are partitioned between left vertices in X and right vertices in Y, and edges in E always connect a left vertex to a right vertex. In this case, the problem can be efficiently solved with simpler algorithms than in the general case. (Wikipedia).
Determine the Cardinality of Sets From a List of Set
This video explains how to determine the cardinality of sets given as lists. It includes union, intersection, and complement of sets. http://mathispower4u.com
From playlist Sets
Find a Set with Greatest Cardinality that is a Subset of Two Given Sets (Lists)
This video explains how to determine a set with greatest cardinality that is a subset of two given sets.
From playlist Sets (Discrete Math)
Determine the Greatest and Least Values of the Cardinality of an Intersection and Union
This video explains how to determine the least and greatest value of the cardinality of the union and intersection of two sets given the cardinality of each set.
From playlist Counting (Discrete Math)
Introduction to the Cardinality of Sets and a Countability Proof
Introduction to Cardinality, Finite Sets, Infinite Sets, Countable Sets, and a Countability Proof - Definition of Cardinality. Two sets A, B have the same cardinality if there is a bijection between them. - Definition of finite and infinite sets. - Definition of a cardinal number. - Discu
From playlist Set Theory
Determine the Cardinality of Sets: Set Notation, Intersection
This video explains how to determine the cardinality of a set given using set notation.
From playlist Sets (Discrete Math)
BM9.2. Cardinality 2: Infinite Sets
Basic Methods: We continue the study of cardinality with infinite sets. First the class of countably infinite sets is considered, and basic results given. Then we give examples of uncountable sets using Cantor diagonalization arguments.
From playlist Math Major Basics
Absolute Maximum/Minimum (1 of 2: Domain restricted polynomial)
More resources available at www.misterwootube.com
From playlist Applications of Differentiation
Determine How Many Subsets Have More Than a Given Cardinality
This lesson provides examples of how to determine the number of subsets of a given set under various conditions.
From playlist Counting (Discrete Math)
Unweighted Bipartite Matching | Network Flow | Graph Theory
What is and how to solve the unweighted bipartite graph matching problem Support me by purchasing the full graph theory course on Udemy which includes additional problems, exercises and quizzes not available on YouTube: https://www.udemy.com/course/graph-theory-algorithms Next video: htt
From playlist Network Flow playlist
Dieter Rautenbach: Restricted types of matchings
Abstract: We present new results concerning restricted types of matchings such as uniquely restricted matchings and acyclic matchings, and we also consider the corresponding edge coloring notions. Our focus lies on bounds, exact and approximative algorithms. Furthermore, we discuss some ma
From playlist Combinatorics
BM9.1. Cardinality 1: Finite Sets
Basic Methods: We define cardinality as an equivalence relation on sets using one-one correspondences. In this talk, we consider finite sets and counting rules.
From playlist Math Major Basics
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
[BOURBAKI 2018] 31/03/2018 - 3/3 - Antoine CHAMBERT-LOIR
Antoine CHAMBERT-LOIR — Relations de Hodge–Riemann et matroïdes Les matroïdes finis sont des structures combinatoires qui expriment la notion d’indépendance linéaire. En 1964, G.-C. Rota conjectura que les coefficients du « polynôme caractéristique » d’un matroïde M, polynôme dont les coe
From playlist BOURBAKI - 2018
Get the Code Here : http://goo.gl/d9moy4 Best MongoDB Book : http://amzn.to/1mceuMi In this part of my MongoDB tutorial I cover indexing and aggregate. We'll examine querying speed differences when indexing is used versus when it isn't and what data is best to index. Then we explore power
From playlist NodeJS Tutorial
Private Algorithms with Minimal Space
A Google TechTalk, 2020/7/29, presented by Adam Smith, Boston University ABSTRACT: We show that a classic algorithm for counting distinct elements in small space is differentially private with only small modifications. The result is an algorithm with the same space guarantee as in the nonp
From playlist 2020 Google Workshop on Federated Learning and Analytics
Nexus Trimester - Stephen Chestnut (ETH Zurich)
Streaming Symmetric Norms via Measure Concentration Stephen Chestnut (ETH Zurich) February 29, 2016 Abstract: We characterize the streaming space complexity of every symmetric norm [Math Processing Error] (a norm on [Math Processing Error] invariant under sign-flips and coordinate-permuta
From playlist Nexus Trimester - 2016 - Central Workshop
Learning probability distributions; What can, What can't be done - Shai Ben-David
Seminar on Theoretical Machine Learning Topic: Learning probability distributions; What can, What can't be done Speaker: Shai Ben-David Affiliation: University of Waterloo Date: May 7, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Greg Fasshauer: Some recent insights into computing with positive definite kernels
Abstract: In this talk I will discuss recent joint work with Mike McCourt (SigOpt, San Francisco) that has led to progress on the numerically stable computation of certain quantities of interest when working with positive definite kernels to solve scattered data interpolation (or kriging)
From playlist Numerical Analysis and Scientific Computing
Berge's lemma, an animated proof
Berge's lemma is a mathematical theorem in graph theory which states that a matching in a graph is of maximum cardinality if and only if it has no augmenting paths. But what do those terms even mean? And how do we prove Berge's lemma to be true? == CORRECTION: at 7:50, the red text should
From playlist Summer of Math Exposition Youtube Videos
Determine Sum of the Cardinality of the Union and Intersection of Two Sets
This video explains how to determine the sum of the cardinality of the union and intersection of two sets.
From playlist Counting (Discrete Math)