The max-plus algebra of exponent matrices of tiled orders

Mikhailo Dokuchaev, Vladimir V. Kirichenko, Ganna Kudryavtseva +1

An exponent matrix is an $n\times n$ matrix $A=(a_{ij})$ over ${\mathbb{N}}^0$ satisfying (1) $a_{ii}=0$ for all $i=1,\dots ,n$ and (2) $a_{ij}+a_{jk}\ge a_{ik}$ for all pairwise…