TY  - JOUR
TI  - Relation between matrices and the suborbital graphs by the special number
sequences
AB  - Continued fractions and their matrix connections have been used in many studies to generate new identities.
On the other hand, many examinations have been made in the suborbital graphs under circuit and forest conditions.
Special number sequences and special vertex values of minimal length paths in suborbital graphs have been associated
in our previous studies. In these associations, matrix connections of the special continued fractions K(−1/ − k), where
$k ∈ Z^+, k ≥ 2$ with the values of the special number sequences are used and new identities are obtained. In this study,
by producing new matrices, new identities related to Fibonacci, Lucas, Pell, and Pell-Lucas number sequences are found
by using both recurrence relations and matrix connections of the continued fractions. In addition, the farthest vertex
values of the minimal length path in the suborbital graph Fu,N and these number sequences are associated.
AU  - AKBABA, Ümmügülsün AKBABA
AU  - Deger, Ali Hikmet
DO  - 10.3906/mat-2108-132
PY  - 2022
JO  - Turkish Journal of Mathematics
VL  - 46
IS  - 3
SN  - 1300-0098
SP  - 753
EP  - 767
DB  - TRDizin
UR  - http://search/yayin/detay/534944
ER  -