arXiv Analytics

Sign in

arXiv:1208.3801 [math.CO]AbstractReferencesReviewsResources

Metric dimension for random graphs

B. Bollobas, D. Mitsche, P. Pralat

Published 2012-08-19, updated 2014-06-11Version 3

The metric dimension of a graph $G$ is the minimum number of vertices in a subset $S$ of the vertex set 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 of the random graph $G(n,p)$ for a wide range of probabilities $p=p(n)$.

Related articles: Most relevant | Search more
arXiv:1704.04066 [math.CO] (Published 2017-04-13)
Bounds on metric dimension for families of planar graphs
arXiv:2408.17229 [math.CO] (Published 2024-08-30)
On the Metric Dimension of $K_a \times K_b \times K_c$
arXiv:1010.4495 [math.CO] (Published 2010-10-21, updated 2011-11-24)
On the metric dimension of Grassmann graphs