Relation between matrices and the suborbital graphs by the special number
sequences

AKBABA, Ümmügülsün AKBABA; Deger, Ali Hikmet

doi:10.3906/mat-2108-132

Relation between matrices and the suborbital graphs by the special number sequences

Ümmügülsün AKBABA, (Karadeniz Teknik Üniversitesi, Fen Fakültesi, Matematik Bölümü, Trabzon, Türkiye)

Ali Hikmet DEĞER (Karadeniz Teknik Üniversitesi, Fen Fakültesi, Matematik Bölümü, Trabzon, Türkiye)

Turkish Journal of Mathematics

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Yıl: 2022 Cilt: 46 Sayı: 3 Sayfa Aralığı: 753 - 767 Metin Dili: İngilizce DOI: 10.3906/mat-2108-132 İndeks Tarihi: 20-07-2022

Relation between matrices and the suborbital graphs by the special number sequences

Öz:

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.

Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	AKBABA Ü, Deger A (2022). Relation between matrices and the suborbital graphs by the special number sequences. , 753 - 767. 10.3906/mat-2108-132
Chicago	AKBABA Ümmügülsün AKBABA,Deger Ali Hikmet Relation between matrices and the suborbital graphs by the special number sequences. (2022): 753 - 767. 10.3906/mat-2108-132
MLA	AKBABA Ümmügülsün AKBABA,Deger Ali Hikmet Relation between matrices and the suborbital graphs by the special number sequences. , 2022, ss.753 - 767. 10.3906/mat-2108-132
AMA	AKBABA Ü,Deger A Relation between matrices and the suborbital graphs by the special number sequences. . 2022; 753 - 767. 10.3906/mat-2108-132
Vancouver	AKBABA Ü,Deger A Relation between matrices and the suborbital graphs by the special number sequences. . 2022; 753 - 767. 10.3906/mat-2108-132
IEEE	AKBABA Ü,Deger A "Relation between matrices and the suborbital graphs by the special number sequences." , ss.753 - 767, 2022. 10.3906/mat-2108-132
ISNAD	AKBABA, Ümmügülsün AKBABA - Deger, Ali Hikmet. "Relation between matrices and the suborbital graphs by the special number sequences". (2022), 753-767. https://doi.org/10.3906/mat-2108-132

APA	AKBABA Ü, Deger A (2022). Relation between matrices and the suborbital graphs by the special number sequences. Turkish Journal of Mathematics, 46(3), 753 - 767. 10.3906/mat-2108-132
Chicago	AKBABA Ümmügülsün AKBABA,Deger Ali Hikmet Relation between matrices and the suborbital graphs by the special number sequences. Turkish Journal of Mathematics 46, no.3 (2022): 753 - 767. 10.3906/mat-2108-132
MLA	AKBABA Ümmügülsün AKBABA,Deger Ali Hikmet Relation between matrices and the suborbital graphs by the special number sequences. Turkish Journal of Mathematics, vol.46, no.3, 2022, ss.753 - 767. 10.3906/mat-2108-132
AMA	AKBABA Ü,Deger A Relation between matrices and the suborbital graphs by the special number sequences. Turkish Journal of Mathematics. 2022; 46(3): 753 - 767. 10.3906/mat-2108-132
Vancouver	AKBABA Ü,Deger A Relation between matrices and the suborbital graphs by the special number sequences. Turkish Journal of Mathematics. 2022; 46(3): 753 - 767. 10.3906/mat-2108-132
IEEE	AKBABA Ü,Deger A "Relation between matrices and the suborbital graphs by the special number sequences." Turkish Journal of Mathematics, 46, ss.753 - 767, 2022. 10.3906/mat-2108-132
ISNAD	AKBABA, Ümmügülsün AKBABA - Deger, Ali Hikmet. "Relation between matrices and the suborbital graphs by the special number sequences". Turkish Journal of Mathematics 46/3 (2022), 753-767. https://doi.org/10.3906/mat-2108-132