Hall's marriage theorem

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

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

Proof by Contradiction Using Hall's Marriage Theorem (Playing Cards)

This video provides a proof by contradiction using Hall's Marriage theorem. The video proves if you deal 52 playing cards into 13 piles of 4, you can always select one card from each pile to get one each of the 13 card values. mathispower4u.com

From playlist Graph Theory (Discrete Math)

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

Duality from Marriage to Dating: an Exposition on a Theorem of Hall

In this video, we give four incarnations of Hall's famous theorem: Hall’s theorem itself, Dilworth’s theorem, Menger’s theorem, and an introduction to the strong duality theorem of linear programming, along with proofs for each of the first three. The game mentioned in the video is locate

From playlist Summer of Math Exposition 2 videos

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)

How to Get Married

Getting married is a hugely significant and solemn step: for centuries, we did it under the guidance of religion, but nowadays, for many of us, faith no longer convinces. At the same time, we want to mark marriage with some kind of ritual and appropriate grandeur. That's why the School of

From playlist RELATIONSHIPS

Discrete Math II - 10.2.2 Special Graphs: Bipartite Graphs

This video is a deeper look at bipartite graphs. We look at both the definition of a bipartite graph and using graph coloring to determine if an existing graph can be redrawn as bipartite. In addition, we model real-life scenarios with bipartite graphs in an effort to create a complete mat

From playlist Discrete Math II/Combinatorics (entire course)

離散数学入門#10: マッチング(1)：マッチングの基礎知識と完全マッチング（ホールの結婚定理，郵便配達員問題再訪）

早稲田大学の全学部の3〜4年生を対象とする全学オープン科目「離散数学入門」（担当教員：早水 桃子）の授業動画です．文理を問わず，誰でもグラフ理論やグラフアルゴリズムの初歩を学ぶことができます．グラフ理論の定理やグラフに関するアルゴリズムを正しく理解して，現実の諸問題を解決するための応用力を身につけましょう． --------------------------------------------------------------------------------------- マッチングの理論は，結婚相手のマッチング，労働者への仕事の割当，研修医の病院配属，学生の研究室

From playlist 離散数学入門Ⅳ

Lec 30 | MIT 18.085 Computational Science and Engineering I

Network flows and combinatorics: max flow = min cut A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 18.085 Computational Science & Engineering I, Fall 2007

Sex and Marriage Theorems

There is no Nobel Prize in mathematics. Find out how you can still earn yourself one if you are a mathematician. Featuring Gale and Shapley's stable marriage theorem and and the debunking of a popular sex statistics myth. In my life before YouTube I together with my colleague and friend

From playlist Recent videos

What our Wedding Vows should Say

Some of the trouble of long-term relationships comes from the vows we say at the beginning. We should learn to reformulate what we say when we enter marriages. If you like our films, take a look at our shop (we ship worldwide): https://goo.gl/eVagI1 Join our mailing list: http://bit.ly/2e

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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)

Why You Will Marry the Wrong Person

You'll try not to of course - but you will, unwittingly. At least there is comfort in knowing you're not alone. For gifts and more from The School of Life, visit our online shop: https://goo.gl/FEJWIK FURTHER READING “Anyone we might marry could, of course, be a little bit wrong f

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