The Distinguishing Number and Distinguishing Index of the Lexicographic Product of Two Graphs

The distinguishing number (index) D(G) (D′(G)) of a graph G is the least integer d such that G has a vertex labeling (edge labeling) with d labels that is preserved only by the trivial automorphism. The lexicographic product of two graphs G and H, G[H] can be obtained from G by substituting a copy H...

Full description

Bibliographic Details
Main Authors: Alikhani Saeid, Soltani Samaneh
Format: Article
Language:English
Published: University of Zielona Góra 2018-08-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.2070