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arXiv · 2407.10006

FIID homomorphisms and entropy inequalities

Endre Csoka·Zoltan Vidnyanszky
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Abstract

We investigate the existence of FIID homomorphisms from regular trees to finite graphs. Using entropy inequalities we show that there are graphs with arbitrarily large chromatic number to which there is no FIID homomorphism from a 3-regular tree.

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Endre Csoka, Zoltan Vidnyanszky. 2024-10-29. FIID homomorphisms and entropy inequalities. https://arxiv.org/abs/2407.10006

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