On the determining number and the metric dimension of graphs
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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.