On Some Connections Between Suborbital Graphs and Special Sequences

Abstract

In this work, we used the terms of identity alternate sequence and also the even terms of alternatesequences of Fibonacci and Lucas, the famous number sequences, to establish connections with the special vertexvalues of the paths of minimal length in the suborbital graphs. These types of vertices also give rise to specialcontinued fractions, hence from recurrence relations for continued fractions, values of these vertices and values ofthese special sequences were associated.