Turkish Journal of Mathematics
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.
DOI
10.55730/1300-0098.3129
Keywords
$k$-Fibonacci number, $k$-Lucas number, permanent, $1$-factors
First Page
884
Last Page
893
Recommended Citation
LEE, G (2022). $k$-Fibonacci numbers and $k$-Lucas numbers and associated bipartite graphs. Turkish Journal of Mathematics 46 (3): 884-893. https://doi.org/10.55730/1300-0098.3129