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On the determining number and the metric dimension of graphs

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Cáceres, Jose
Garijo, Delia
Puertas González, María Luz
Seara Ojea, CarlosMés informacióMés informació
Document typeArticle
Defense date2010-04-19
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain
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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  • DCCG - Grup de recerca en geometria computacional, combinatoria i discreta - Articles de revista [85]
  • Departament de Matemàtiques - Articles de revista [2.895]
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