Disproof of the List Hadwiger Conjecture

János Barát, Gwenaël Joret, David R. Wood

Abstract


The List Hadwiger Conjecture asserts that every $K_t$-minor-free graph is $t$-choosable. We disprove this conjecture by constructing a $K_{3t+2}$-minor-free graph that is not $4t$-choosable for every integer $t\geq 1$.


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