Now showing items 1-5 of 5
Double binomial sums and double sums related with certain linear recurrences of various order
(Chiang Mai University, 2018-05-01)
In this paper, we derive new double binomial sums families related with generalized second, third and certain higher order linear recurrences. We also present various parametric generalizations of some results of [1, 2]. ...
Sums of products of generalized Fibonacci and Lucas numbers
Sums of products of a fixed number of Fibonacci(-type) numbers can be computed automatically. This extends, at least in principle, various results about two factors that appeared in the literature. More general results ...
Formulæ for multi-parameter Gaussian q-binomial sums with applications
(Springer Nature, 2020-06)
Some Gaussian q-binomial sum identities from KAO are further generalized, introducing two additional parameters. We prove the claimed results by q-calculus. Finally we present applications to the generalized Fibonomial ...
On the chromatic polynomial and the domination number of k-Fibonacci cubes
Fibonacci cubes are defined as subgraphs of hypercubes, where the vertices are those without two consecutive 1's in their binary string representation. k -Fibonacci cubes are in turn special subgraphs of Fibonacci cubes ...
k-Fibonacci Cubes: A Family of Subgraphs of Fibonacci Cubes
(World Scientific, 2020-08)
Hypercubes and Fibonacci cubes are classical models for interconnection networks with interesting graph theoretic properties. We consider k-Fibonacci cubes, which we obtain as subgraphs of Fibonacci cubes by eliminating ...