On the determining number and the metric dimension of graphs

Cáceres, Jose; Garijo, Delia; Puertas González, María Luz; Seara Ojea, Carlos

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Cáceres, Jose

Garijo, Delia

Puertas González, María Luz

Seara Ojea, Carlos

Document typeArticle

Defense date2010-04-19

Rights accessOpen Access

Abstract

This paper initiates a study on the problem of computing the difference between the metric dimension and the determining number of graphs. We provide new proofs and results on the determining number of trees and Cartesian products of graphs, and establish some lower bounds on the difference between the two parameters.

CitationCáceres, J. [et al.]. On the determining number and the metric dimension of graphs. "Electronic journal of combinatorics", 19 Abril 2010, vol. 17, núm. 1, p. 1-20.

URIhttp://hdl.handle.net/2117/8743

ISSN1077-8926

Publisher versionhttp://www.combinatorics.org/Volume_17/PDF/v17i1r63.pdf

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