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AIMS Mathematics
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AIMS Mathematics
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https://dx.doi.org/10.3934/mat...
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Metric dimension and edge metric dimension of windmill graphs

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2021Publisher:American Institute of Mathematical Sciences (AIMS)Journal:AIMS Mathematics, volume 6, pages 9,138-9,153 (issn: 2473-6988, Copyright policy )
Authors: Pradeep Singh; Sahil Sharma; Sunny Kumar Sharma; Vijay Kumar Bhat;

doi: 10.3934/math.2021531

Metric dimension and edge metric dimension of windmill graphs

Abstract

Graph invariants provide an amazing tool to analyze the abstract structures of graphs. Metric dimension and edge metric dimension as graph invariants have numerous applications, among them are robot navigation, pharmaceutical chemistry, etc. In this article, we compute the metric and edge metric dimension of two classes of windmill graphs such as French windmill graph and Dutch windmill graph, and also certain generalizations of these graphs.

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Keywords

edge metric basis, Connectivity, Distance in graphs, Applications of graph theory, resolving set, French windmill graph, french windmill graph, metric dimension, dutch windmill graph, Graph algorithms (graph-theoretic aspects), Dutch windmill graph, QA1-939, edge metric dimension, Small world graphs, complex networks (graph-theoretic aspects), Mathematics

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    		 31
    popularity
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    		 Top 10%
    influence
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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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!
31
Top 10%
Top 10%
Top 10%
gold