Level Generating Trees and Proper Riordan Arrays

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Date

2018-05-05

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Addis Ababa University

Abstract

In this project,based on articles published by D.Merlini, R.Sprugnoli , D.G. Rogers and M.C.Verri some important relation between level generating trees and proper Riordan Arrays are discussed. This work focuses on the concepts of the theory of Riordan Arrays and a generalization of generating trees named level generating trees to describe the concept of a matrix associated to a generating tree (AGT matrix), AGT matrices, matrices associated to level generating tree, in relation to proper Riordan Arrays. Some AGT matrices which are proper Riordan Arrays and Riordan Arrays which are discussed, conditions that allow they are also given, and discussed, illustrated with examples by using classical combinatorial structures.

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Keywords

Adjacent Vertices, Degree of a Vertex

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