The List Total Colouring Conjecture Is False

2 pointsposted 7 hours ago
by Betelbuddy

1 Comments

Betelbuddy

7 hours ago

"We exhibit a cubic graph with total chromatic number equal to four and list total chromatic number five. This disproves the List Total Colouring Conjecture of Borodin--Kostochka--Woodall, Juvan--Mohar--Škrekovski and Hilton--Johnson from the late 1990s. ChatGPT 6 Astra Ultra discovered the counterexample with little input from the author."