TY - JOUR
T1 - Metric-based resolvability of quartz structure
AU - Imran, Muhammad
AU - Ahmad, Ali
AU - Azeem, Muhammad
AU - Elahi, Kashif
N1 - Funding Information:
Funding Statement: This research is supported by the University program of Advanced Research (UPAR) and UAEU-AUA grants of United Arab Emirates University (UAEU) via Grant No. G00003271 and Grant No. G00003461.
Publisher Copyright:
© 2022 Tech Science Press. All rights reserved.
PY - 2022
Y1 - 2022
N2 - Silica has three major varieties of crystalline. Quartz is the main and abundant ingredient in the crust of our earth.While other varieties are formed by the heating of quartz. Silica quartz is a rich chemical structure containing enormous properties. Any chemical network or structure can be transformed into a graph, where atoms become vertices and the bonds are converted to edges, between vertices. This makes a complex network easy to visualize to work on it. There are many concepts to work on chemical structures in terms of graph theory but the resolvability parameters of a graph are quite advance and applicable topic. Resolvability parameters of a graph is a way to getting a graph into unique form, like each vertex or edge has a unique identification by means of some selected vertices, which depends on the distance of vertices and its pattern in a particular graph. We have dealt some resolvability parameters of SiO2 quartz. We computed the resolving set for quartz structure and its variants, wherein we proved that all the variants of resolvability parameters of quartz structures are constant and do not depend on the order of the graph.
AB - Silica has three major varieties of crystalline. Quartz is the main and abundant ingredient in the crust of our earth.While other varieties are formed by the heating of quartz. Silica quartz is a rich chemical structure containing enormous properties. Any chemical network or structure can be transformed into a graph, where atoms become vertices and the bonds are converted to edges, between vertices. This makes a complex network easy to visualize to work on it. There are many concepts to work on chemical structures in terms of graph theory but the resolvability parameters of a graph are quite advance and applicable topic. Resolvability parameters of a graph is a way to getting a graph into unique form, like each vertex or edge has a unique identification by means of some selected vertices, which depends on the distance of vertices and its pattern in a particular graph. We have dealt some resolvability parameters of SiO2 quartz. We computed the resolving set for quartz structure and its variants, wherein we proved that all the variants of resolvability parameters of quartz structures are constant and do not depend on the order of the graph.
KW - Metric dimension
KW - Metric or distance-based resolvability parameters
KW - Polycyclic aromatic hydrocarbon related structure
KW - Quartz
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U2 - 10.32604/cmc.2022.022064
DO - 10.32604/cmc.2022.022064
M3 - Article
AN - SCOPUS:85118631727
SN - 1546-2218
VL - 71
SP - 2053
EP - 2071
JO - Computers, Materials and Continua
JF - Computers, Materials and Continua
IS - 1
ER -