Article Title

$k$-Fibonacci numbers and $k$-Lucas numbers and associated bipartite graphs

Authors

GWANGYEON LEE

DOI

10.55730/1300-0098.3129

Abstract

In [6], [8] and [10], the authors studied the generalized Fibonacci numbers. Also, in [7], the author found a class of bipartite graphs whose number of $1$-factors is the $n$th $k$-Lucas numbers. In this paper, we give a new relationship between $g_n^{(k)}$ and $l_n^{(k)}$ and the number of $1$-factors of a bipartite graph.

Keywords

$k$-Fibonacci number, $k$-Lucas number, permanent, $1$-factors

First Page

884

Last Page

893

Recommended Citation

LEE, GWANGYEON (2022) "$k$-Fibonacci numbers and $k$-Lucas numbers and associated bipartite graphs," Turkish Journal of Mathematics: Vol. 46: No. 3, Article 14. https://doi.org/10.55730/1300-0098.3129
Available at: https://journals.tubitak.gov.tr/math/vol46/iss3/14