Year: 2026
Type: preprint
Abstract: We pin down the largest entries possible in positive integral friezes of types $D_n$ for $n\geq 4$ and $B_n$ for $n\geq 2$, addressing a conjecture of Robin Zhang. For type $D_n$, the sharp upper bound is $F_nF_{n+1}-1$, and for type $B_n$, it is $F_{n+1}F_{n+2}-1$, where $F_k$ are the Virahanka--Fibonacci numbers.
Source: arXiv (Cornell University)
Author: Sprung, Florian Ito
Institution: Harvard University
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Harvard University
OpenAlex ID: W7214684174