Open AccessA generalization of the suborbital graphs generating Fibonacci numbers for the subgroup Г3
Author(s) -
Seda Öztürk
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2002631o
Subject(s) - mathematics , fibonacci number , combinatorics , generalization , group (periodic table) , pisano period , discrete mathematics , fibonacci polynomials , mathematical analysis , chemistry , organic chemistry , orthogonal polynomials , difference polynomials
The Modular group ? is the most well-known discrete group with many applications. This work investigates some subgraphs of the subgroup ?3, defined by {(ab cd)??:ab+cd ?0 (mod 3)}. In [1], the subgraph F1,1 of the subgroup ?3 ? ? is studied, and Fibonacci numbers are obtained by means of the subgraph of F1,1. In this paper, we give a generalization of the subgraphs generating Fibonacci numbers for the subgroup ?3 and some subgraphs having special conditions.