Scopus
🔓 Açık Erişim YÖKSİS Eşleşti
Fibonacci graphs
Symmetry · Eylül 2020
YÖKSİS Kayıtları
Makale Bilgileri
DergiSymmetry
Yayın TarihiEylül 2020
Cilt / Sayfa12
Scopus ID2-s2.0-85090400401
Erişim🔓 Açık Erişim
Özet
Apart from its applications in Chemistry, Biology, Physics, Social Sciences, Anthropology, etc., there are close relations between graph theory and other areas of Mathematics. Fibonacci numbers are of utmost interest due to their relation with the golden ratio and also due to many applications in different areas from Biology, Architecture, Anatomy to Finance. In this paper, we define Fibonacci graphs as graphs having degree sequence consisting of n consecutive Fibonacci numbers and use the invariant Ω to obtain some more information on these graphs. We give the necessary and sufficient conditions for the realizability of a set D of n successive Fibonacci numbers for every n and also list all possible realizations called Fibonacci graphs for 1 ≤ n ≤ 4.
Yazarlar (5)
1
Aysun Yurttas Gunes
ORCID: 0000-0001-8873-1999
2
Sadik Delen
ORCID: 0000-0003-4689-3660
3
Musa Demirci
ORCID: 0000-0002-6439-8439
4
A. Sinan Çevik
5
I. Naci Cangül
Anahtar Kelimeler
Degree sequence
Fibonacci graph
Fibonacci number
Realizability
Ω invariant
Kurumlar
Bursa Uludağ Üniversitesi
Bursa Turkey
Selçuk Üniversitesi
Selçuklu Turkey
Metrikler
10
Atıf
5
Yazar
5
Anahtar Kelime