49 citations · 58 across the 5 of their papers we have counts for
5 papers
Power domination in maximal planar graphs
Paul Dorbec, Antonio González, Claire Pennarun
Power domination in graphs emerged from the problem of monitoring an electrical system by placing as few measurement devices in the system as possible. It corresponds to a variant…
The resolving number of a graph
Delia Garijo, Antonio González, Alberto Márquez
We study a graph parameter related to resolving sets and metric dimension, namely the resolving number, introduced by Chartrand, Poisson and Zhang. First, we establish an important…
On the metric dimension, the upper dimension and the resolving number of graphs
Delia Garijo, Antonio González, Alberto Márquez
This paper deals with three resolving parameters: the metric dimension, the upper dimension and the resolving number. We first answer a question raised by Chartrand and Zhang askin…
Resolving sets for Johnson and Kneser graphs
Robert F. Bailey, José Cáceres, Delia Garijo +4
A set of vertices in a graph is a {\em resolving set} for if, for any two vertices , there exists such that the distances . In this pa…
Hypergraphs for computing determining sets of Kneser graphs
J. Cáceres, D. Garijo, A. González +2
A set of vertices is a \emph{determining set} of a graph if every automorphism of is uniquely determined by its action on . The \emph{determining number} of is t…