The Metric Dimension of Metric Manifolds

Abstract

In this paper we determine the metric dimension of $n$-dimensional metric $(X,G)$-manifolds. This category includes all Euclidean, hyperbolic and spherical manifolds as special cases.

Bisectors in Vector Groups Over Integers

“…In [2], the metric dimensions of the three classical geometric spaces were determined and the metric dimension of Riemann surfaces was shown to be 3. In [5,6], metric dimensions of geometric spaces and geometric manifolds were determined. The present paper is on Cayley graphs of vector groups over Z.…”