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Exploring the Strong Metric Dimension of Hollow Coronoid Structures: Applications and Implications

Authors: Tahoor, Tahoor; Abid, Muhammad; Mushtaq, Arfa; Bibi, Madiha;

Exploring the Strong Metric Dimension of Hollow Coronoid Structures: Applications and Implications

Abstract

Coronoid systems are actually geometric arrangements of six-sided benzenoids in hexagonal form. Coronoid systems are organic chemical structures, that fall into two categories: primitive and catacondensed coronoids. Many researchers from various fields have an interest in the mathematical analysis of chemicals. Graph theory played an important role in studying chemical structures by transforming them into a graph. The strongιmetricιdimension is one of the main parameter ofιgraph theory. Consider a connectedιgraphιG, aιvertexιu strongly resolves aιpairι(x, y) of vertices if either x lies onιaιshortestιpathιbetween u - y or y lies onιaιshortestιpathιbetween u - x. The setιS is referred as theιstrong resolving set ofιG if any vertex in S can strongly resolve every pair of distinct vertices in G.ιThe minimumιcardinality of such set S is known as the strong metricιdimension ofιG.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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