The Compared Costs of Domination Location-Domination and Identification

Let G = (V, E) be a finite graph and r ≥ 1 be an integer. For v ∈ V, let Br(v) = {x ∈ V : d(v, x) ≤ r} be the ball of radius r centered at v. A set C ⊆ V is an r-dominating code if for all v ∈ V, we have Br(v) ∩ C ≠ ∅; it is an r-locating-dominating code if for all v ∈ V, we have Br(v) ∩ C ≠ ∅, and...

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Bibliographic Details
Main Authors: Hudry Olivier, Lobstein Antoine
Format: Article
Language:English
Published: Sciendo 2020-02-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.2129

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