Vertices, edges, distances and metric dimension in graphs

descriptionPublicationkeyboard_double_arrow_right Article 01 Nov 2016 English Publisher:Elsevier BVJournal:Electronic Notes in Discrete Mathematics, volume 55, pages 191-194 (issn: 1571-0653,

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Authors: Ismael González Yero;

doi: 10.1016/j.endm.2016.10.047

Vertices, edges, distances and metric dimension in graphs

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Abstract

Abstract Given a connected graph G = ( V , E ) , a set of vertices S ⊂ V is an edge metric generator for G , if any two edges of G are identified by S by mean of distances to the vertices in S . Moreover, in a natural way, S is a mixed metric generator, if any two elements of G (vertices or edges) are identified by S by mean of distances. In this work we study the (edge and mixed) metric dimension of graphs.

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University of Cádiz
Spain

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