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 ...
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 ...
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 ...