A Breakthrough in Graph Theory - Numberphile

A counterexample to Hedetniemi's conjecture - featuring Erica Klarreich. Get 3 months of Audible for just $6.95 a month. Visit https://www.audible.com/numberphile or text "numberphile" to 500 500 More links & stuff in full description below ↓↓↓ Read Erica Klarreich's Quanta article on this subject: https://www.quantamagazine.org/mathem... And visit her website: http://www.ericaklarreich.com/ Yaroslav Shitov's breakthrough paper: https://arxiv.org/abs/1905.02167 Thanks to Stephen Hedetniemi for providing us with photos and pages from his original dissertation. Some more graph theory on Numberphile... Four Color Maps:    • The Four Color Map Theorem - Numberphile   An Unsolved Problem:    • A Colorful Unsolved Problem - Numberphile   Planar Graphs:    • Planar Graphs - Numberphile   Perfect Graphs:    • Perfect Graphs - Numberphile   Friends and Strangers:    • Friends and Strangers Theorem - Numberphile   River Crossings:    • River Crossings (and Alcuin Numbers) - Num...   Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. https://www.simonsfoundation.org/outr... And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook:   / numberphile   Numberphile tweets:   / numberphile   Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon:   / numberphile   Numberphile T-Shirts: https://teespring.com/stores/numberphile Brady's videos subreddit:   / bradyharan   Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9

Planar Graphs - Numberphile
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Planar Graphs - Numberphile

Graph Theory, Lecture 1: Introduction
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Graph Theory, Lecture 1: Introduction

A Miraculous Proof (Ptolemy's Theorem) - Numberphile
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A Miraculous Proof (Ptolemy's Theorem) - Numberphile

The Hyper Moser (and other Mega Numbers) - Numberphile
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The Hyper Moser (and other Mega Numbers) - Numberphile

How Bees CRACKED a 2,000-Year-Old Math PROBLEM!
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How Bees CRACKED a 2,000-Year-Old Math PROBLEM!

Chichvarkin Saves Putin | Vitaly Portnikov
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Chichvarkin Saves Putin | Vitaly Portnikov

AJ Styles On Retirement, Gunther, Hall Of Fame, John Cena, One More Match?
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AJ Styles On Retirement, Gunther, Hall Of Fame, John Cena, One More Match?

Jon Ossoff Destroys Pete Hegseth; Elon Musk Mocked for AI Odyssey After MAGA Meltdown: A Closer Look
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Jon Ossoff Destroys Pete Hegseth; Elon Musk Mocked for AI Odyssey After MAGA Meltdown: A Closer Look

The Arrow of Time in Causal Networks
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The Arrow of Time in Causal Networks

How Quantum Fields Built Reality | The Sleepy Scientist
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How Quantum Fields Built Reality | The Sleepy Scientist

But what is quantum computing?  (Grover's Algorithm)
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But what is quantum computing? (Grover's Algorithm)

Biggest Breakthroughs in Math: 2023
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Biggest Breakthroughs in Math: 2023

I Bought And Restored "Old" Technology To Prove The Economy Is Imploding
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I Bought And Restored "Old" Technology To Prove The Economy Is Imploding

We Might Be Wrong About Black Holes
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We Might Be Wrong About Black Holes

Nobody Explained the Schrödinger Equation Like THIS!
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Nobody Explained the Schrödinger Equation Like THIS!

Creator of C++: Bell Labs, Negative Overhead Abstraction, Mistakes | Bjarne Stroustrup
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Creator of C++: Bell Labs, Negative Overhead Abstraction, Mistakes | Bjarne Stroustrup

The Four Color Map Theorem - Numberphile
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The Four Color Map Theorem - Numberphile

The Most Important Algorithm in Machine Learning
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The Most Important Algorithm in Machine Learning

A tale of two problem solvers | Average cube shadow area
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A tale of two problem solvers | Average cube shadow area

Why Sperm Whales Are The Most TERRIFYING Apex Predator On Earth
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Why Sperm Whales Are The Most TERRIFYING Apex Predator On Earth

The Graph Reconstruction Conjecture - Numberphile
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The Graph Reconstruction Conjecture - Numberphile

Has an AI discovered new maths?
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Has an AI discovered new maths?

How The Periodic Table Was Created
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How The Periodic Table Was Created

The Riemann Hypothesis, Explained
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The Riemann Hypothesis, Explained

The Scariest Chart in Electrical Engineering
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The Scariest Chart in Electrical Engineering

River Crossings (and Alcuin Numbers) - Numberphile
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River Crossings (and Alcuin Numbers) - Numberphile