Disproof of the List Hadwiger Conjecture

Mathematics – Combinatorics

Scientific paper

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Scientific paper

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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