On the Local Metric Dimension of Corona Product Graphs

By Juan Alberto Rodríguez-Velázquez, Gabriel A. Barragán-Ramírez, Carlos García Gómez. 2013

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A vertex $$v\in V(G)$$v∈V(G) is said to distinguish two vertices $$x,y\in V(G)$$x,y∈V(G) of a non-trivial connected graph G if the distance from v to x is different from the distance from v to y. A set $$S\subset V(G)$$S⊂V(G) is a local metric generator for G if every two adjacent vertices of G are distinguished by some vertex of S. A local metric generator with the minimum cardinality is called a local metric basis for G and its cardinality, the local metric dimension of G. In this paper, we study the problem of finding exact values for the local metric dimension of corona product of graphs.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Management Information Systems

View Paper: https://www.semanticscholar.org/paper/34d6027f46a2ffeae98a840598e387edee2f4c30