Background The degree sequence of a graph is the list of its vertex degrees arranged in
usually increasing order. Many properties of the graphs realized from a degree sequence …

Moving averages, which are calculated with statistical approaches, are obtained from the
price, but a horizontal market has noise problems and a trending market has lag problems …

To gain better understanding of molecules, social nods, urban planning and other networks,
we need to represent them as graphs which is why graph theory is a very active area in …

Compared with periodic structures, quasi-periodic structures have superior band gap
properties and topological interface states. In this paper, a one-dimensional quasi-periodic …

In this paper, we define a class of Fibonacci graphs as graphs whose adjacency matrices
are obtained by alternating binary Fibonacci words. We show that Fibonacci graphs are …

For a realizable set of non-negative integers, it is well-known that there are many ways of
realizing it as a graph having this set as degree sequence. For a given degree sequence, a …

Special numbers have very important mathematical properties alongside their numerous
applications in many fields of science. Probably the most important of those is the Fibonacci …

Fibonacci numbers have mathematical properties and numerous applications in many fields
of science. In this article, a generalization of the Fibonacci numbers is used as a member of …

The first topic covered in [1] is built around the Gauss hypergeometric function 2F1, the
Kummer hypergeometric function 1F1, and their generalization rFs. Summation formulae …

The aim of this study is to obtain the lower and upper bounds for the distance-based Wiener
index, Hyper-Wiener index and Harary index of the Fibonacci-sum graph. Firstly, the shortest …