7 citations · 11 across the 3 of their papers we have counts for
3 papers
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…
cond-mat.stat-mech2010★ 2 cited
Lower Bounds on the Ground State Entropy of the Potts Antiferromagnet on Slabs of the Simple Cubic Lattice
Robert Shrock, Yan Xu
We calculate rigorous lower bounds for the ground state degeneracy per site, , of the -state Potts antiferromagnet on slabs of the simple cubic lattice that are infinite in t…
math-ph2009★ 7 cited
Weighted-Set Graph Colorings
Robert Shrock, Yan Xu
We study a weighted-set graph coloring problem in which one assigns colors to the vertices of a graph such that adjacent vertices have different colors, with a vertex weighting…