Construction and Composition of Rooted Trees via Descent Functions. (27th August 2013)

• Record Type: Journal Article
• Authors: Abrate, Marco; Barbero, Stefano; Cerruti, Umberto; Murru, Nadir
• Other Names: Soto Montero Ricardo L. Academic Editor.
• Is Part Of: Algebra. Volume 2013(2013)
• Publication Date: 2013-08-27
• Subjects: Algebra -- Periodicals; Algebra; Electronic journals; Periodicals; 512.005
• DOI: 10.1155/2013/543913
• Languages: English
• ISSNs: 2314-4106

Abstract

Abstract : We propose a novel approach for studying rooted trees by using functions that we will call descent functions. We provide a construction method for rooted trees that allows to study their properties through the use of descent functions. Moreover, in this way, we are able to compose rooted trees with each other. Such a new composition of rooted trees is a very powerful tool applied in this paper in order to obtain important results as the creation of new rational and Pythagorean trees.