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arXiv · 1406.5532

A note on recognizing an old friend in a new place: list coloring and the zero-temperature Potts model

Joanna A. Ellis-Monaghan·Iain Moffatt
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Abstract

Here we observe that list coloring in graph theory coincides with the zero-temperature antiferromagnetic Potts model with an external field. We give a list coloring polynomial that equals the partition function in this case. This is analogous to the well-known connection between the chromatic polynomial and the zero-temperature, zero-field, antiferromagnetic Potts model. The subsequent cross fertilization yields immediate results for the Potts model and suggests new research directions in list coloring.

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Joanna A. Ellis-Monaghan, Iain Moffatt. 2014-06-20. A note on recognizing an old friend in a new place: list coloring and the zero-temperature Potts model. https://doi.org/10.4171/aihpd/12

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