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

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  • Dorota Bród

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.

Suggested Citation

  • Dorota Bród, 2015. "On Distance (r, k)‐Fibonacci Numbers and Their Combinatorial and Graph Interpretations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnljam:v:2015:y:2015:i:1:n:879510
    DOI: 10.1155/2015/879510
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    References listed on IDEAS

    as
    1. Anetta Szynal-Liana & Andrzej Włoch & Iwona Włoch, 2014. "On Types of Distance Fibonacci Numbers Generated by Number Decompositions," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    2. Kilic, E. & Stakhov, A.P., 2009. "On the Fibonacci and Lucas p-numbers, their sums, families of bipartite graphs and permanents of certain matrices," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2210-2221.
    3. Anetta Szynal-Liana & Andrzej Włoch & Iwona Włoch, 2014. "On Types of Distance Fibonacci Numbers Generated by Number Decompositions," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-8, October.
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