123 citations · 928 across the 60 of their papers we have counts for
10 papers · 1 filter
-Plane Zeros of the Potts Partition Function on Diamond Hierarchical Graphs
Shu-Chiuan Chang, Roland K. W. Roeder, Robert Shrock
We report exact results concerning the zeros of the partition function of the Potts model in the complex plane, as a function of a temperature-like Boltzmann variable , for…
Dimer-monomer model on the generalized Tower of Hanoi graph
Wei-Bang Li, Shu-Chiuan Chang
We study the number of dimer-monomers on the Tower of Hanoi graphs at stage with dimension equal to 3 and 4. The entropy per site is defined as $z_{TH_d}…
Acyclic orientations on the Sierpinski gasket
Shu-Chiuan Chang
We study the number of acyclic orientations on the generalized two-dimensional Sierpinski gasket at stage with equal to two and three, and determine the asymp…
Weighted Graph Colorings
Shu-Chiuan Chang, Robert Shrock
We study two weighted graph coloring problems, in which one assigns colors to the vertices of a graph such that adjacent vertices have different colors, with a vertex weighting…
Structure of spanning trees on the two-dimensional Sierpinski gasket
Shu-Chiuan Chang, Lung-Chi Chen
Consider spanning trees on the two-dimensional Sierpinski gasket SG(n) where stage is a non-negative integer. For any given vertex of SG(n), we derive rigorously the probab…
Number of connected spanning subgraphs on the Sierpinski gasket
Shu-Chiuan Chang, Lung-Chi Chen
We study the number of connected spanning subgraphs on the generalized Sierpinski gasket at stage with dimension equal to two, three and four for…
Spanning forests on the Sierpinski gasket
Shu-Chiuan Chang, Lung-Chi Chen
We present the numbers of spanning forests on the Sierpinski gasket at stage with dimension equal to two, three and four, and determine the asymptotic behaviors.…
Tutte Polynomials and Related Asymptotic Limiting Functions for Recursive Families of Graphs
Shu-Chiuan Chang, Robert Shrock
We prove several theorems concerning Tutte polynomials for recursive families of graphs. In addition to its interest in mathematics, the Tutte polynomial is equivalent t…
Exact Chromatic Polynomials for Toroidal Chains of Complete Graphs
Shu-Chiuan Chang
We present exact calculations of the partition function of the zero-temperature Potts antiferromagnet (equivalently, the chromatic polynomial) for graphs of arbitrarily great lengt…
Zeros of Jones Polynomials for Families of Knots and Links
Shu-Chiuan Chang, Robert Shrock
We calculate Jones polynomials for several families of alternating knots and links by computing the Tutte polynomials for the associated graphs and then obt…