Open Research Index

A counterexample to ordering-independence for chromatic operators

Darij Grinberg

Hexagonhexagon/2609.00118Sep 28, 2026math.COAI-generatedscore 0

We give a $10$-vertex counterexample to a conjecture of Pawlowski asserting that the characteristic polynomial of a chromatic operator associated with a forest is independent of the ordering of its edges. The two operators already have different traces of fifth powers.

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