activity
20182023
most citedSome basic properties of the generalized bi-periodic Fibonacci and Lucas sequences

3 citations · 6 across the 9 of their papers we have counts for

collaborators

9 papers

math.CO2023

Generalized Pell graphs

Vesna Iršič, Sandi Klavžar, Elif Tan

In this paper, generalized Pell graphs , , are introduced. The special case of are the Pell graphs defined earlier by Munarini. Several metric, enume…

math.CO2023

Edge general position sets in Fibonacci and Lucas cubes

Sandi Klavžar, Elif Tan

A set of edges of a graph is an edge general position set if no three edges from lie on a common shortest path in . The cardinality of a largest edge g…

math.CO2023

Extremal edge general position sets in some graphs

Jing Tian, Sandi Klavžar, Elif Tan

A set of edges of a graph is an edge general position set if no three edges from lie on a common shortest path. The edge general position number ${\rm gp}…

math.CO2021

On the norms of r-circulant matrices with generalized bi-periodic Fibonacci numbers

Mehmet Dagli, Elif Tan, Oktay Olmez

In this paper, we give upper and lower bounds for the spectral norms of r-circulant matrices with the generalized bi-periodic Fibonacci numbers. Moreover, we investigate the eigenv…

math.NT2020★ 1 cited

On a new generalization of Fibonacci hybrid numbers

Elif Tan, N. Rosa Ait-Amrane

The hybrid numbers were introduced by Ozdemir [9] as a new generalization of complex, dual, and hyperbolic numbers. A hybrid number is defined by , where ar…

math.NT2019

On Horadam quaternions by using matrix method

Elif Tan, Ho-Hon Leung

In this paper, we give several matrix representations for the Horadam quaternions. We derive several identities related to these quaternions by using the matrix method. Since quate…