3 papers
math.CO2026
The Andersen-Hoffman Theorem for Equitable Rectangles
Amin Bahmanian, Anna Johnsen-Yu
More than forty years ago, Andersen and Hoffman independently proved that every symmetric Latin rectangle can be extended to a symmetric Latin square with prescribed diagonal entri…
math.CO2026
Embedding Equitable Rectangles
Amin Bahmanian, Anna Johnsen-Yu
Completing partial Latin squares is NP-complete. Ryser characterized precisely when an Latin rectangle can be completed to an Latin square. We extend this t…
math.CO2026
On graphs with girth at least five achieving Steffen's edge coloring bound
Guantao Chen, Alireza Fiujlaali, Anna Johnsen-Yu +1
Vizing and Gupta showed that the chromatic index of a graph is bounded above by , where and denote the maximum degree and the maximum mu…