On the bialgebra of functional graphs and differential algebras

We develop the bialgebraic structure based on the set of functional graphs, which generalize the case of the forests of rooted trees. We use noncommutative polynomials as generating monomials of the functional graphs, and we introduce circular and arborescent brackets in accordance with the decompos...

Full description

Bibliographic Details
Main Author: Maurice Ginocchio
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 1997-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/244/pdf