@Article{cmc.2020.011736,
AUTHOR = {Ali N. A. Koam, Ali Ahmad},
TITLE = {Polynomials of Degree-Based Indices for Three-Dimensional Mesh  Network},
JOURNAL = {Computers, Materials \& Continua},
VOLUME = {65},
YEAR = {2020},
NUMBER = {2},
PAGES = {1271--1282},
URL = {http://www.techscience.com/cmc/v65n2/39873},
ISSN = {1546-2226},
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.},
DOI = {10.32604/cmc.2020.011736}
}