A Breakthrough in Graph Theory
A counterexample to Hedetniemi's conjecture - featuring Erica Klarreich.
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Read Erica Klarreich's Quanta article on this subject: https://www.quantamagazine.org/mathematician-disproves-hedetniemis-graph-theory-conjecture-20190617/
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: https://youtu.be/NgbK43jB4rQ
An Unsolved Problem: https://youtu.be/niaeV_NHh-o
Planar Graphs: https://youtu.be/xBkTIp6ajAg
Perfect Graphs: https://youtu.be/C4Zr4cOVm9g
Friends and Strangers: https://youtu.be/xdiL-ADRTxQ
River Crossings: https://youtu.be/ZCVAGb1ee8A