3 papers
math.CO2022
On the maximum spread of planar and outerplanar graphs
Zelong Li, William Linz, Linyuan Lu +1
The spread of a graph is the difference between the largest and smallest eigenvalue of the adjacency matrix of . Gotshall, O'Brien and Tait conjectured that for sufficiently…
math.CO2021
-Catalan numbers and Littlewood-Richardson polynomials
William Linz
In this note, we study two generalizations of the Catalan numbers, namely the -Catalan numbers and the spin -Catalan numbers. These numbers first appeared in relation to quan…
math.CO2019
Long rainbow arithmetic progressions
József Balogh, William Linz, Letícia Mattos
Define as the minimal for which there is a rainbow arithmetic progression of length in every equinumerous -coloring of for all $n\in \mathbb{N…