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Scholarpedia
Article . 2019 . Peer-reviewed
Data sources: Crossref
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Scholarpedia
Article
License: CC BY NC SA
Data sources: UnpayWall
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arXiv.org e-Print Archive
Preprint . 2019
Data sources: arXiv.org e-Print Archive
https://dx.doi.org/10.48550/ar...
Article . 2019
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
https://dx.doi.org/10.4249/sch...
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Metric Dimension

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2019Embargo end date: 01 Jan 2019 English Publisher:ScholarpediaJournal:Scholarpedia, volume 14, page 53,881 (eissn: 1941-6016, Copyright policy )Funded by:NSF | BIGDATA: F: Metric-space ...
Authors: Tillquist, Richard C.; Frongillo, Rafael M.; Lladser, Manuel E.;

doi: 10.4249/scholarpedia.53881 , 10.48550/arxiv.1910.04103

arXiv: 1910.04103

Metric Dimension

Abstract

In this manuscript, we provide a concise review of the concept of metric dimension for both deterministic as well as random graphs. Algorithms to approximate this quantity, as well as potential applications, are also reviewed. This work has been partially funded by the NSF IIS grant 1836914.

7 pages, 4 figures

Related Organizations
Keywords

FOS: Computer and information sciences, Discrete Mathematics (cs.DM), Optimization and Control (math.OC), FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), 05C12, 05C50, 05C62, 68R10, 90C35, 92C40, Mathematics - Optimization and Control, Computer Science - Discrete Mathematics

  • BIP!
    Impact byBIP!
    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).
    		 2
    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.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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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!
2
Average
Average
Average
Green
gold