Journal of Applied Mathematics

On Distance ( r , k ) -Fibonacci Numbers and Their Combinatorial and Graph Interpretations

Dorota Bród

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Abstract

We introduce three new two-parameter generalizations of Fibonacci numbers. These generalizations are closely related to k -distance Fibonacci numbers introduced recently. We give combinatorial and graph interpretations of distance ( r , k ) -Fibonacci numbers. We also study some properties of these numbers.

Article information

Source
J. Appl. Math., Volume 2015 (2015), Article ID 879510, 6 pages.

Dates
First available in Project Euclid: 13 October 2015

Permanent link to this document
https://projecteuclid.org/euclid.jam/1444742825

Digital Object Identifier
doi:10.1155/2015/879510

Mathematical Reviews number (MathSciNet)
MR3402210

Citation

Bród, Dorota. On Distance $(r,k)$ -Fibonacci Numbers and Their Combinatorial and Graph Interpretations. J. Appl. Math. 2015 (2015), Article ID 879510, 6 pages. doi:10.1155/2015/879510. https://projecteuclid.org/euclid.jam/1444742825


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