English

On the limiting distribution of the metric dimension for random forests

Combinatorics 2014-12-09 v2

Abstract

The metric dimension of a graph G is the minimum size of a subset S of vertices of G such that all other vertices are uniquely determined by their distances to the vertices in S. In this paper we investigate the metric dimension for two different models of random forests, in each case obtaining normal limit distributions for this parameter.

Keywords

Cite

@article{arxiv.1309.2000,
  title  = {On the limiting distribution of the metric dimension for random forests},
  author = {Dieter Mitsche and Juanjo Rué},
  journal= {arXiv preprint arXiv:1309.2000},
  year   = {2014}
}

Comments

22 pages, 5 figures