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pro vyhledávání: '"Tan, Elif"'
Weighted Padovan graphs $\Phi^{n}_{k}$, $n \geq 1$, $\lfloor \frac{n}{2} \rfloor \leq k \leq \lfloor \frac{2n-2}{3} \rfloor$, are introduced as the graphs whose vertices are all Padovan words of length $n$ with $k$ $1$s, two vertices being adjacent i
Externí odkaz:
http://arxiv.org/abs/2409.17318
Autor:
Savin, Diana, Tan, Elif
In this paper, we introduce a new class of quaternions called Lucas-Leonardo p-quaternions and derive several fundamental properties of these numbers. Furthermore, we investigate some applications related to companion sequences associated with Leonar
Externí odkaz:
http://arxiv.org/abs/2403.01592
In this paper, generalized Pell graphs $\Pi _{n,k}$, $k\ge 2$, are introduced. The special case of $k=2$ are the Pell graphs $\Pi _{n}$ defined earlier by Munarini. Several metric, enumerative, and structural properties of these graphs are establishe
Externí odkaz:
http://arxiv.org/abs/2307.13317
Autor:
Klavžar, Sandi, Tan, Elif
A set of edges $X\subseteq E(G)$ of a graph $G$ is an edge general position set if no three edges from $X$ lie on a common shortest path in $G$. The cardinality of a largest edge general position set of $G$ is the edge general position number of $G$.
Externí odkaz:
http://arxiv.org/abs/2304.10114
A set of edges $X\subseteq E(G)$ of a graph $G$ is an edge general position set if no three edges from $X$ lie on a common shortest path. The edge general position number ${\rm gp}_{\rm e}(G)$ of $G$ is the cardinality of a largest edge general posit
Externí odkaz:
http://arxiv.org/abs/2302.01587
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 eigenvalues and determinants of these matrices.
Externí odkaz:
http://arxiv.org/abs/2101.12557
Autor:
AIT-AMRANE, N. Rosa1 aitamrane.rosa@univ-medea.dz, TAN, Elif2 etan@ankara.edu.tr
Publikováno v:
Communications Series A1 Mathematics & Statistics. 2024, Vol. 73 Issue 2, p517-528. 12p.
Autor:
Tan, Elif, Ait-Amrane, N. Rosa
The hybrid numbers were introduced by Ozdemir [9] as a new generalization of complex, dual, and hyperbolic numbers. A hybrid number is defined by $k=a+bi+c\epsilon +dh$, where $a,b,c,d$ are real numbers and $% i,\epsilon ,h$ are operators such that $
Externí odkaz:
http://arxiv.org/abs/2006.09727
Autor:
Tan, Elif, Leung, Ho-Hon
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 quaternion multiplication is not commutative, some of our results are non-c
Externí odkaz:
http://arxiv.org/abs/1910.04136
Autor:
Tan, Elif, Leung, Ho-hon
In this paper, we consider a generalization of Horadam sequence fwng which is defined by the recurrence relation wn = x(n)wn-1+ cwn-2; where x(n) = a if n is even, x(n) = b if n is odd with arbitrary initial conditions w0;w1 and nonzero real numbers
Externí odkaz:
http://arxiv.org/abs/1910.04043