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Electronic Notes in Discrete Mathematics
Article . 2014 . Peer-reviewed
License: Elsevier TDM
Data sources: Crossref
DBLP
Article . 2020
Data sources: DBLP
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Simultaneous Resolvability in Graph Families

Authors: Yunior Ramírez-Cruz; Ortrud R. Oellermann; Juan Alberto Rodríguez-Velázquez;

Simultaneous Resolvability in Graph Families

Abstract

Abstract A set S ⊆ V is said to be a simultaneous metric generator for a graph family G = { G 1 , G 2 , … , G k } , defined on a common vertex set, if it is a generator for every graph of the family. A minimum simultaneous metric generator is called a simultaneous metric basis, and its cardinality the simultaneous metric dimension of G . We study the properties of simultaneous metric generators and simultaneous metric bases, and calculate closed formulae or tight bounds for the simultaneous metric dimension of several graph families.

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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!
6
Average
Average
Average
gold