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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2018-08-01
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| Series: | Discussiones Mathematicae Graph Theory |
| Subjects: | |
| Online Access: | https://doi.org/10.7151/dmgt.2070 |