- Turkish Journal of Mathematics and Computer Science
- Vol: 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
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Publication Date : 2018-12-29
Article Type : Other
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