A note on uniquely 10‐colorable graphs

Matthias Kriesell · Journal of Graph Theory · 2021

Abstract Hadwiger conjectured that every graph of chromatic number admits a clique minor of order . Here we prove for , that every graph of chromatic number with a unique ‐coloring (up to the color names) admits a clique minor of order . The proof does not rely on the Four Color Theorem.

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