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 dec...
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Discrete Mathematics & Theoretical Computer Science
1997-12-01
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| Series: | Discrete Mathematics & Theoretical Computer Science |
| Online Access: | http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/87 |
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doaj-2a89220e673f41c09391205b7917d0e22020-11-24T22:46:01ZengDiscrete Mathematics & Theoretical Computer ScienceDiscrete Mathematics & Theoretical Computer Science1462-72641365-80501997-12-0111On the bialgebra of functional graphs and differential algebrasMaurice GinocchioWe 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 decomposition in connected components of the graph of a mapping of {1, 2, …, n} in itself as in the frame of the discrete dynamical systems. We give applications fordifferential algebras and algebras of differential operators. http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/87 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Maurice Ginocchio |
| spellingShingle |
Maurice Ginocchio On the bialgebra of functional graphs and differential algebras Discrete Mathematics & Theoretical Computer Science |
| author_facet |
Maurice Ginocchio |
| author_sort |
Maurice Ginocchio |
| title |
On the bialgebra of functional graphs and differential algebras |
| title_short |
On the bialgebra of functional graphs and differential algebras |
| title_full |
On the bialgebra of functional graphs and differential algebras |
| title_fullStr |
On the bialgebra of functional graphs and differential algebras |
| title_full_unstemmed |
On the bialgebra of functional graphs and differential algebras |
| title_sort |
on the bialgebra of functional graphs and differential algebras |
| publisher |
Discrete Mathematics & Theoretical Computer Science |
| series |
Discrete Mathematics & Theoretical Computer Science |
| issn |
1462-7264 1365-8050 |
| publishDate |
1997-12-01 |
| description |
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 decomposition in connected components of the graph of a mapping of {1, 2, …, n} in itself as in the frame of the discrete dynamical systems. We give applications fordifferential algebras and algebras of differential operators. |
| url |
http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/87 |
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AT mauriceginocchio onthebialgebraoffunctionalgraphsanddifferentialalgebras |
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1725686658151481344 |