A Class of Fibonacci Matrices, Graphs, and Games

Autor: Valentin E. Brimkov, Reneta P. Barneva

Publikováno v: Mathematics, Vol 10, Iss 21, p 4038 (2022)

In this paper, we define a class of Fibonacci graphs as graphs whose adjacency matrices are obtained by alternating binary Fibonacci words. We show that Fibonacci graphs are close in size to Turán graphs and that their size-stability tradeoff define

Externí odkaz: https://doaj.org/article/23b17f07ea004265a04a6044527d628d

Tribonacci graphs

Autor: Demirci Musa, Cangul Ismail Naci

Publikováno v: ITM Web of Conferences, Vol 34, p 01002 (2020)

Special numbers have very important mathematical properties alongside their numerous applications in many fields of science. Probably the most important of those is the Fibonacci numbers. In this paper, we use a generalization of Fibonacci numbers c

Externí odkaz: https://doaj.org/article/f11f5c8f3a0e45db8ebd267f1804c7c6

On d-Fibonacci digraphs

Autor: Miguel Angel Fiol, Cristina Dalfó

Publikováno v: Electronic Journal of Graph Theory and Applications
Electronic Journal of Graph Theory and Applications, Vol 9, Iss 2, Pp 527-538 (2021)
Repositorio Abierto de la UdL
Universitad de Lleida
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

The d-Fibonacci digraphs F(d, k), introduced here, have the number of vertices following some generalized Fibonacci-like sequences. They can be defined both as digraphs on alphabets and as iterated line digraphs. Here we study some of their nice prop

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::744b45d5d2638bd5619839cad3266c9c
https://hdl.handle.net/10459.1/72285

A Golden Ratio Enigma

Autor: Adolf Cusmariu

A generalization of the Golden Ratio construction leads to an enigma in the limit.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9121489b2c05fca0415b01e791206720

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