Trees with Distinguishing Index Equal Distinguishing Number Plus One
The distinguishing number (index) D(G) (D′ (G)) of a graph G is the least integer d such that G has an vertex (edge) labeling with d labels that is preserved only by the trivial automorphism. It is known that for every graph G we have D′ (G) ≤ D(G) + 1. In this note we characterize finite trees for...
Main Authors: | Alikhani Saeid, Klavžar Sandi, Lehner Florian, Soltani Samaneh |
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Format: | Article |
Language: | English |
Published: |
Sciendo
2020-08-01
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Series: | Discussiones Mathematicae Graph Theory |
Subjects: | |
Online Access: | https://doi.org/10.7151/dmgt.2162 |
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