129 citations · 591 across the 26 of their papers we have counts for
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cond-mat.stat-mech2011★ 1 cited
Exact Results on Potts/Tutte Polynomials for Families of Networks with Edge and Vertex Inflations
Robert Shrock
We derive exact relations between the Potts model partition function, or equivalently the Tutte polynomial, for a network (graph) and a network obtained from by (i) by repl…
cond-mat.stat-mech2011★ 10 cited
Exact Potts/Tutte Polynomials for Polygon Chain Graphs
Robert Shrock
We present exact calculations of Potts model partition functions and the equivalent Tutte polynomials for polygon chain graphs with open and cyclic boundary conditions. Special cas…
cond-mat.stat-mech2011★ 2 cited
Ground State Entropy of the Potts Antiferromagnet on Homeomorphic Expansions of Kagome Lattice Strips
Robert Shrock, Yan Xu
We present exact calculations of the chromatic polynomial and resultant ground state entropy of the -state Potts antiferromagnet on lattice strips that are homeomorphic expansio…