Cayley graphs with metric dimension two - A characterization
Ebrahim Vatandoost, Ali Behtoei, Yasser Golkhandy Pour
TL;DR
This paper characterizes Cayley graphs on Abelian groups that have a metric dimension of two, providing a complete understanding of their structure and properties.
Contribution
It offers a complete characterization of Cayley graphs on Abelian groups with metric dimension two, advancing the understanding of their metric properties.
Findings
Identifies all Cayley graphs on Abelian groups with metric dimension two.
Provides a structural characterization of these graphs.
Enhances understanding of metric dimension in algebraic graph theory.
Abstract
In this paper, we study the metric dimension of Cayley graphs. Specially, we present a complete characterization of Cayley graphs on Abelian groups whose metric dimension is two.
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Taxonomy
TopicsGraph Labeling and Dimension Problems · graph theory and CDMA systems