Results 21 to 30 of about 2,057 (213)
Fibonacci number of the tadpole graph
In 1982, Prodinger and Tichy defined the Fibonacci number of a graph G to be the number of independent sets of the graph G. They did so since the Fibonacci number of the path graph Pn is the Fibonacci number F(n+2) and the Fibonacci number of the cycle ...
Joe DeMaio, John Jacobson
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The Fibonacci numbers of certain subgraphs of circulant graphs
The Fibonacci number ℱ(G) of a graph G with vertex set V(G), is the total number of independent vertex sets S⊂V(G); recall that a set S⊂V(G) is said to be independent whenever for every two different vertices u,v∈S there is no edge between them.
Loiret Alejandría Dosal-Trujillo+1 more
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Some properties of the generalized (p,q)- Fibonacci-Like number
For the real world problems, we use some knowledge for explain or solving them. For example, some mathematicians study the basic concept of the generalized Fibonacci sequence and Lucas sequence which are the (p,q) – Fibonacci sequence and the (p,q ...
Suvarnamani Alongkot
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Generalized Fibonacci Sequences for Elliptic Curve Cryptography
The Fibonacci sequence is a well-known sequence of numbers with numerous applications in mathematics, computer science, and other fields. In recent years, there has been growing interest in studying Fibonacci-like sequences on elliptic curves.
Zakariae Cheddour+2 more
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On $k$-Fibonacci balancing and $k$-Fibonacci Lucas-balancing numbers
The balancing number $n$ and the balancer $r$ are solution of the Diophantine equation $$1+2+\cdots+(n-1) = (n+1)+(n+2)+\cdots+(n+r). $$ It is well known that if $n$ is balancing number, then $8n^2 + 1$ is a perfect square and its positive square root is
S.E. Rihane
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On the Bicomplex $k$-Fibonacci Quaternions
In this paper, bicomplex $k$-Fibonacci quaternions are defined. Also, some algebraic properties of bicomplex $k$-Fibonacci quaternions are investigated.
Fügen Torunbalcı Aydın
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Construction of dual-generalized complex Fibonacci and Lucas quaternions
The aim of this paper is to construct dual-generalized complex Fibonacci and Lucas quaternions. It examines the properties both as dual-generalized complex number and as quaternion. Additionally, general recurrence relations, Binet's formulas, Tagiuri's (
G.Y. Şentürk, N. Gürses, S. Yüce
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On the arrowhead-Fibonacci numbers
AbstractIn this paper, we define the arrowhead-Fibonacci numbers by using the arrowhead matrix of the characteristic polynomial of thek-step Fibonacci sequence and then we give some of their properties. Also, we study the arrowhead-Fibonacci sequence modulomand we obtain the cyclic groups from the generating matrix of the arrowhead-Fibonacci numbers ...
Deveci, Omur, GÜLTEKİN, İnci
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On Fibonacci (k,p)-Numbers and Their Interpretations
In this paper, we define new kinds of Fibonacci numbers, which generalize both Fibonacci, Jacobsthal, Narayana numbers and Fibonacci p-numbers in the distance sense, using the definition of a distance between numbers by a recurrence relation according to
Berke Cengiz, Yasemin Taşyurdu
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Edge-Disjoint Fibonacci Trees in Hypercube
The Fibonacci tree is a rooted binary tree whose number of vertices admit a recursive definition similar to the Fibonacci numbers. In this paper, we prove that a hypercube of dimension h admits two edge-disjoint Fibonacci trees of height h, two edge ...
Indhumathi Raman, Lakshmanan Kuppusamy
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