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cond-mat.stat-mech1999
Chromatic Polynomials and their Zeros and Asymptotic Limits for Families of Graphs
Robert Shrock
Let be the chromatic polynomial for coloring the -vertex graph with colors, and define . Besides their mathematical interest,…
cond-mat.stat-mech1999
Exact Partition Functions for Potts Antiferromagnets on Cyclic Lattice Strips
Robert Shrock, Shan-Ho Tsai
We present exact calculations of the zero-temperature partition function of the -state Potts antiferromagnet on arbitrarily long strips of the square, triangular, and kagomé lat…