On Some Connections Between Suborbital Graphs and Special Sequences

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Turkish Journal of Mathematics and Computer Science
Volume:10 Special Issue
On Some Connections Between Suborbital Graphs and Special Sequences

On Some Connections Between Suborbital Graphs and Special Sequences

Authors : Ümmügülsün AKBABA, Ali Hikmet DEĞER, Tuğba TUYLU

Pages : 134-143

View : 58 | Download : 8

Publication Date : 2018-12-29

Article Type : Conference Paper

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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