Open Access
ARTICLE
Polynomials of Degree-Based Indices for Three-Dimensional Mesh Network
Ali N. A. Koam1, Ali Ahmad2, *
1 Department of Mathematics, College of Science, Jazan University, Jazan, 45142, Saudi Arabia.
2 College of Computer Science and Information Technology, Jazan University, Jazan, 45142, Saudi Arabia.
* Corresponding Author: Ali Ahmad. Email: .
Computers, Materials & Continua 2020, 65(2), 1271-1282. https://doi.org/10.32604/cmc.2020.011736
Received 26 May 2020; Accepted 29 June 2020; Issue published 20 August 2020
Abstract
In order to study the behavior and interconnection of network devices, graphs
structures are used to formulate the properties in terms of mathematical models. Mesh
network (meshnet) is a LAN topology in which devices are connected either directly or
through some intermediate devices. These terminating and intermediate devices are
considered as vertices of graph whereas wired or wireless connections among these
devices are shown as edges of graph. Topological indices are used to reflect structural
property of graphs in form of one real number. This structural invariant has
revolutionized the field of chemistry to identify molecular descriptors of chemical
compounds. These indices are extensively used for establishing relationships between the
structure of nanotubes and their physico-chemical properties. In this paper a
representation of sodium chloride (NaCl) is studied, because structure of NaCl is same as
the Cartesian product of three paths of length exactly like a mesh network. In this way the
general formula obtained in this paper can be used in chemistry as well as for any degreebased topological polynomials of three-dimensional mesh networks.
Keywords
Cite This Article
A. N. A. Koam and A. Ahmad, "Polynomials of degree-based indices for three-dimensional mesh network,"
Computers, Materials & Continua, vol. 65, no.2, pp. 1271–1282, 2020. https://doi.org/10.32604/cmc.2020.011736
Citations