R. Shrock

collaborators

2 papers

cond-mat.stat-mech2025

Chromatic Zeros on the Limit $G_{\infty}^{(p, ℓ)}$ of the Family $G_{m}^{(p, ℓ)}$ of Hierarchical Graphs

Shu-Chiuan Chang, Robert Shrock

We calculate the continuous accumulation set $B_{q} (p, ℓ)$ of zeros of the chromatic polynomial $P (G_{m}^{(p, ℓ)}, q)$ in the limit $m \to \infty$ , on a family of graphs $G^{…

cond-mat.stat-mech2024

Potts Partition Function Zeros and Ground State Entropy on Hanoi Graphs

Shu-Chiuan Chang, Robert Shrock

We study properties of the Potts model partition function $Z (H_{m}, q, v)$ on $m$ 'th iterates of Hanoi graphs, $H_{m}$ , and use the results to draw inferences about the $m \to \infty$ li…

Chromatic Zeros on the Limit G∞(p,ℓ)​ of the Family Gm(p,ℓ)​ of Hierarchical Graphs

Potts Partition Function Zeros and Ground State Entropy on Hanoi Graphs

Chromatic Zeros on the Limit $G_{\infty}^{(p, ℓ)}$ of the Family $G_{m}^{(p, ℓ)}$ of Hierarchical Graphs