Research & Reviews: Discrete Mathematical Structures
Volume 7, Issue 3 (2020)
Published
Table of contents
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New Recurrence Relations for Tribonacci Sequence and Generalized Tribonacci Sequence
Abstract: AbstractTribonacci numbers are placed on the corners of polygons clockwise with each corner receiving a term. Then, it is argued whether there is a relationship among the numbers in the same corners. It is shown to be able to find mth term corresponding to the corner Ak in an n-gon by a relation:where, is a Tribonaccisequence and is a Tribonacci- Lucas sequence. The relation is proved by using a binet …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 7, Issue 3, 2020 · pp. 1–6 Read article
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Downhill Zagreb Polynomials of Graphs
Abstract: AbstractIn a number of applied and theoretical environments, graph polynomials and their roots have emerged. To deeply explore counting sequences connected to different graph parameters, graph polynomials have been introduced as generating polynomials. In addition, there has been a great deal of recent interest in graph polynomials. The first, second and forgotten downhill Zagreb indices are defined as and . In this paper, we define and study the first, second …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 7, Issue 3, 2020 · pp. 15–26 Read article
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New Number Sequences Obtained with Grouping of Fibonacci Numbers
Abstract: AbstractThe relations of the sum and difference of two Fibonacci numbers, in which the difference of subscripts is even, was given by Koshy. In this study, the relations of the sum and difference of two Fibonacci numbers, in which is the difference of subscripts is odd, is introduced by using the generating functions. Similar results are given for Lucas numbers. Also, two new family of Fibonacci numbers are obtained. Keywords: …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 7, Issue 3, 2020 · pp. 27–35 Read article
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Research Frame work of Missing Data Analysis using Mathematical Models
Abstract: AbstractThis article deals with providing an overall framework of missing data analysis using mathematical models. Mathematical models serves at large for missing data imputation. Several algorithms in machine learning techniques like Mean, Median, Standard Deviation, Regression and Naïve Bayesian classifier use Mathematical models for analysis. The performance of above mathematical models has been compared by using correlation statistics analysis gives the imputed values are positively related or negatively related or …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 7, Issue 3, 2020 · pp. 36–44 Read article
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An Atlas of Vertex Degree Polynomials of Graphs of Order at Most Six
Abstract: AbstractThe vertex degree polynomial of a graph G of order n is defined as V D(G, x) = åuv∈E(G) d(u)xd(v) where d(u) is the degree of the vertex u [5]. We call the roots of a vertex degree polynomial of a graph the vertex degree roots of that graph. In this article, we compute the vertex degree polynomial of all graphs of order less than or equal six and their …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 7, Issue 3, 2020 · pp. 7–14 Read article