Turkish Journal of Mathematics
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