Mantel's Theorem: Extremal Graph Theory Primer, and Intro To Turan's Theorem
In this video we discuss the problem of finding a tight upper bound on the number of edges a graph on n vertices can have if it is also known that the graph has no 3-cycle in it. This is known as Mantel's Theorem and it is a special case of Turan's Theorem which generalizes this problem from a 3-cycle (a complete graph on 3 vertices) to complete graphs on arbitrary numbers of vertices. #TuranGraph #MantelsTheorem #GraphTheory CHECK OUT OTHER TYPES OF VIDEOS: ================================ GRE Math Subject Test: • Improve Your Math Subject GRE Score Putnam Math Competition: • Putnam Math Competition | Improve Your Put... Math Theorem Corner: • Math Theorems | Learn New Math Theorems Math Problems Corner: • Problem Solving Strategies Math Insights: • Learn New Math Techniques! Academic Advice: • Academic Advice for Undergrads GET MY BOOK ON AMAZON!! ======================== "Number Theory Towards RSA Cryptography in 10 Undergraduate Lectures" https://www.amazon.com/Number-Theory-... CHECK ME OUT ON THE INTERNET!! ============================== Website: www.mohamedomar.org Twitter: @ProfOmarMath Instagram: profomarmath YouTube: / profomarmath And of course, subscribe to my channel!

Why complete chaos is impossible || Ramsey Theory

Graph Theory 9-1: Turan's Theorem

The Four Color Map Theorem - Numberphile

Spectral Graph Theory For Dummies

2. Forbidding a subgraph I: Mantel's theorem and Turán's theorem

Bayes theorem, the geometry of changing beliefs

Ramsey Theory Introduction

A Breakthrough in Graph Theory - Numberphile

The Problem of Traffic: A Mathematical Modeling Journey

Matchings, Perfect Matchings, Maximum Matchings, and More! | Graph Theory

Euler's Formula and Graph Duality

Friends and Strangers Theorem - Numberphile

Graph Theory - Turán's theorem (Lecture 36)

Network Flows: Max-Flow Min-Cut Theorem (& Ford-Fulkerson Algorithm)

How to Invert a Sequence Relationship

The Obviously True Theorem No One Can Prove

Extremal graph theory: prove Turan's theorem

The Oldest Unsolved Problem in Math

A Cambridge Integral Experience

