15 citations · 24 across the 13 of their papers we have counts for
20 papers · 1 filter
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…
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…
Polynomial realizations of Hopf algebras built from nonsymmetric operads
Samuele Giraudo
The natural Hopf algebra of an operad is a Hopf algebra whose bases are indexed by some words on . We construct polynomial…
Operads of decorated cliques II: Noncrossing cliques
Samuele Giraudo
A complete study of an operad of noncrossing configurations of chords introduced in previous work of the author is performed. This operad is defined on th…
Operad Structure of Poset Matrices
Arnauld Mesinga Mwafise, Gi-Sang Cheon, Hong Joon Choi +1
This paper examines operad structures derived from poset matrices by formulating a set of new construction rules for poset matrices. In this direction, eleven different partial com…
Polynomial realizations of natural Hopf algebras of nonsymmetric operads
Samuele Giraudo
The natural Hopf algebra of an operad is a Hopf algebra whose bases are indexed by some words on . We introduce new bases of th…