  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.
