Graph Labeling and Dimension Problems

In this study, we introduce a new generalization of the second order polynomial sequences. Namely, we define the Horadam polynomials se-quence. Afterwards, we investigate the some properties of the Horadam polynomials.

Abstract In this study, we investigate the solutions of two special types of the Riccati difference equation x n + 1 = 1 1 + x n and y n + 1 = 1 − 1 + y n such that their solutions are associated with Fibonacci numbers. MSC: 11B39, 39A10, 39A13.

• YASİN YAZLIK

Abstract In this study, we investigate the solutions of two special types of the Riccati difference equation x n + 1 = 1 1 + x n and y n + 1 = 1 − 1 + y n such that their solutions are associated with Fibonacci numbers. MSC: 11B39, 39A10, 39A13.

• DURHASAN TURGUT TOLLU

No abstract yet.

• NECATİ TAŞKARA

modulo 2 analogues of the Betti numbers of Poincaré.

In this paper, we present new upper and lower bounds for the spectral norm of an r-circulant matrix whose entries are the generalized k-Horadam numbers. Furthermore, we obtain new formulas to calculate the eigenvalues and determinant of the matrix H. MSC:11B39, 15A60, 15A15.

• YASİN YAZLIK

No abstract yet.

• BURAK YILDIRAN STODOLSKY

Let G =( V, E )b e as i mple graph with vertex set V (G )= {v1 ,v 2 ,..., vn} and edge set E(G). The Randic matrix R =( rij) of a graph G whose vertex vi has degree di is defined by rij =1 / � didj if the vertices vi and vj are adjacent and rij = 0 otherwise. The Randice nergyRE is the sum of absolute values of the ei…

Abstract For a (molecular) graph G with vertex set V (G) and edge set E(G), the first Zagreb index of G is defined as , where d G (v i ) is the degree of vertex vi in G. Recently Xu et al. introduced two graphical invariants and named as first multiplicative Zagreb coindex and second multiplicative Zagreb coindex, res…

• AYSUN YURTTAŞ GÜNEŞ
• İSMAİL NACİ CANGÜL

No abstract yet.

• NAZMİYE YILMAZ

No abstract yet.

• NECATİ TAŞKARA

No abstract yet.

• NECATİ TAŞKARA