On Some Connections Between Suborbital Graphs and Special Sequences
International Conference on Mathematics and Mathematics Education (ICMME 2018), Ordu, Turkey, 27 - 29 June 2018, vol.10, pp.134-143, (Full Text)
- Publication Type: Conference Paper / Full Text
- Volume: 10
- City: Ordu
- Country: Turkey
- Page Numbers: pp.134-143
- Karadeniz Technical University Affiliated: Yes
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.