Strong resolving graphs: the realization and the characterization problems
Combinatorics
2016-12-12 v1
Abstract
The strong resolving graph of a connected graph was introduced in [Discrete Applied Mathematics 155 (1) (2007) 356--364] as a tool to study the strong metric dimension of . Basically, it was shown that the problem of finding the strong metric dimension of can be transformed to the problem of finding the vertex cover number of . Since then, several articles dealing with this subject have been published. In this paper, we survey the state of knowledge on the strong resolving graph and also derive some new results.
Keywords
Cite
@article{arxiv.1612.02843,
title = {Strong resolving graphs: the realization and the characterization problems},
author = {D. Kuziak and M. L. Puertas and J. A. Rodriguez-Velazquez and I. G. Yero},
journal= {arXiv preprint arXiv:1612.02843},
year = {2016}
}
Comments
arXiv admin note: text overlap with arXiv:1508.03447