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January 31, 2025

A Breakthrough in Graph Theory – Numberphile

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“>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/mathematician-disproves-hedetniemis-graph-theory-conjecture-20190617/“>https://www.quantamagazine.org/mathematician-disproves-hedetniemis-graph-theory-conjecture-20190617/

And visit her website: http://www.ericaklarreich.com/“>http://www.ericaklarreich.com/

Yaroslav Shitov’s breakthrough paper: https://arxiv.org/abs/1905.02167“>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: https://youtu.be/NgbK43jB4rQ“>https://youtu.be/NgbK43jB4rQ

An Unsolved Problem: https://youtu.be/niaeV_NHh-o“>https://youtu.be/niaeV_NHh-o

Planar Graphs: https://youtu.be/xBkTIp6ajAg“>https://youtu.be/xBkTIp6ajAg

Perfect Graphs: https://youtu.be/C4Zr4cOVm9g“>https://youtu.be/C4Zr4cOVm9g

Friends and Strangers: https://youtu.be/xdiL-ADRTxQ“>https://youtu.be/xdiL-ADRTxQ

River Crossings: https://youtu.be/ZCVAGb1ee8A“>https://youtu.be/ZCVAGb1ee8A

Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile“>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/outreach/science-sandbox/“>https://www.simonsfoundation.org/outreach/science-sandbox/

And support from Math For America – https://www.mathforamerica.org/“>https://www.mathforamerica.org/

NUMBERPHILE

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Videos by Brady Haran

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