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 alternate

sequences of Fibonacci and Lucas, the famous number sequences, to establish connections with the special vertex

values of the paths of minimal length in the suborbital graphs. These types of vertices also give rise to special

continued fractions, hence from recurrence relations for continued fractions, values of these vertices and values of

these special sequences were associated.

Keywords

• Suborbital Graphs,Fibonacci Sequences,Lucas Sequences,Continued Fractions

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