Research & Reviews: Discrete Mathematical Structures
Volume 8, Issue 2 (2021)
Published
Table of contents
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The Role Fixed Point Theorems in Differential Equations
Abstract: The purpose of this paper is to explore fixed point theorem from application point of view of differential equation and fractional differential equation. From previous 13 application were explained with various fixed point theorem applicable to differential equation. Theorems are like Banach fixed point theorem, Brouwer fixed point theorem, Borel fixed point theorem, Schauder fixed point theorem, Krasnoselskii’s fixed point theorem etc. It is observed that differential equation such as …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 8, Issue 2, 2021 · pp. 1–9 Read article
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Inductive Turing Machines of Higher Orders: Computability, Acceptability and Decidability
Abstract: In this paper, the basic forms of information processing by inductive Turing machines of the order n are explored where n 1. It is demonstrated that different types of acceptability, recognizability, and computability of sets and formal languages by inductive Turing machines of the order n are equivalent. This allows high flexibility in modeling functioning of computers and computer networks by choosing the better suited forms of information processing. …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 8, Issue 2, 2021 · pp. 10–26 Read article
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A New Generalization of Fibonacci Polynomials
Abstract: The Fibonacci sequences, which have an increasing place in scientific studies and are the most wellknown among the number sequences, first appeared in Leonardo Fibonacci's book 'Liber Abaci', which contains many basic problems, in a rabbit problem. Fibonacci sequences were obtained by writing down the monthly total number of new rabbits born by mating only once per month, initially one female and one male rabbit. This sequence, which is obtained …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 8, Issue 2, 2021 · pp. 27–31 Read article
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Matrix based Internet of Things for Product Surfing
Abstract: This paper presents an idea on matrix IoT. The product-surfer matrix is defined by IoT based on pause time during internet surfing. This study will be beneficial for industries. The discrete distribution is defined for product and its generalization is appeared as the matrix. The IoT function is established by the one-to-one correspondence. Each element of the product domain is associated with the unique element of the matrix. It presents …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 8, Issue 2, 2021 · pp. 32–37 Read article
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Fibonacci Divisor Cordial Labeling of Different Graphs
Abstract: Fibonacci divisor of graph G with vertex set V (G)-Bijection f: V (G) → {F1, F2 ,. .. .. , Fp}, where Fi is the ith Fibonacci number. Therefore, if label 1 is assigned to each edge uv, if f (u) | f (v) or f (v) | f (u), mark 0 otherwise, then 0. The number of edges marked with 1 differs from the number of edges marked with …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 8, Issue 2, 2021 · pp. 38–45 Read article