3 papers
math.CO2026
Generating naturally labeled posets through matrix extensions, order ideals and automorphism groups
Gi-Sang Cheon, Samuele Giraudo, Gukwon Kwon +1
We propose a matrix approach for generating naturally labeled posets by representing each poset on the set as a Boolean poset matrix . This algebraic representation en…
math.CO2026
Clones of pigmented words and realizations of special classes of monoids
Samuele Giraudo
Clones are specializations of operads forming powerful instruments to describe varieties of algebras wherein repeating variables are allowed in their equations. They allow us in th…
math.CO2025
Fundamental and homogeneous bases of Hopf algebras built from nonsymmetric operads
Samuele Giraudo
We introduce new partial order structures on the underlying sets of free nonsymmetric operads. These posets involve decorated ordered rooted trees, and their terminal intervals are…