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General Structural Results for Potts Model Partition Functions on Lattice Strips
We present a set of general results on structural features of the -state
Potts model partition function for arbitrary and temperature
Boltzmann variable for various lattice strips of arbitrarily great width
vertices and length vertices, including (i) cyclic and M\"obius
strips of the square and triangular lattice, and (ii) self-dual cyclic strips
of the square lattice. We also present an exact solution for the chromatic
polynomial for the cyclic and M\"obius strips of the square lattice with width
(the greatest width for which an exact solution has been obtained so
far for these families). In the limit, we calculate the
ground-state degeneracy per site, and determine the boundary
across which is singular in the complex plane.Comment: 49 pages, latex, four postscript figure
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