DESGRIPTION OF THE CLASSES OF LATTICE PATHS WITH DISTANCE CONCEPTS.

Ruy Madsen BARBOSA[1]

Pedro Henrique GODINHO[2]

§    ABSTRACT: The work given a systematic study of lattice paths of first specie ( Narayana) and second specie, generation, classes, vector-pattern graphic and graphic structure of the two species. In this paper are introduced concepts of ordinate, abscissa and diagonal distance; and are given theorems about the news concepts as main result, its furnish the description of the equivalence classes.

§    KEYWORDS: Lattice paths; generation; class; vector-pattern-graphic; composition; distances.

 



[1] Professor aposentado - Instituto de Biociências , Letras e Ciências Exatas - UNESP - São José do Rio Preto – SP.

[2] Departamento de Psicologia Experimental e do trabalho – Campus Assis – UNESP – 19800-000 – Assis – SP.