Corrections to the article "The metric dimension of graph with pendant edges" [Journal of Combinatorial Mathematics and Combinatorial Computing, 65 (2008) 139--145]

TL;DR

This paper corrects and clarifies the results of a previous study on the metric dimension of graphs with pendant edges, resolving two open problems and ensuring the accuracy of the original findings.

Contribution

It provides necessary corrections to prior results and solves two previously open problems related to the metric dimension of graphs with pendant edges.

Findings

Previous results were incorrect and have been corrected.

Two open problems in the original paper are now solved.

The corrected results refine understanding of the metric dimension in specific graph classes.

Abstract

We show that the principal results of the article "The metric dimension of graph with pendant edges" [Journal of Combinatorial Mathematics and Combinatorial Computing, 65 (2008) 139--145] do not hold. In this paper we correct the results and we solve two open problems described in the above mentioned paper.