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Başlık: Fibonacci graphs
Yazarlar: Çevik, Ahmet Sinan
Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.
0000-0002-0700-5774
0000-0003-4689-3660
0000-0002-6439-8439
Güneş, Aysun Yurttaş
Delen, Sadık
Demirci, Musa
Cangül, İsmail Naci
J-3505-2017
AAG-8470-2021
37090056000
57204472528
23566581100
57189022403
Anahtar kelimeler: Omega invariant
Degree sequence
Realizability
Fibonacci number
Fibonacci graph
Science & technology - other topics
Yayın Tarihi: 14-Ağu-2020
Yayıncı: MDPI
Atıf: Güneş, Y. A. vd. (2020). "Fibonacci graphs". Symmetry-Basel, 12(9).
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 omega 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.
URI: https://doi.org/10.3390/sym12091383
https://www.mdpi.com/2073-8994/12/9/1383
http://hdl.handle.net/11452/30155
ISSN: 2073-8994
Koleksiyonlarda Görünür:Scopus
Web of Science

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