Results 191 to 200 of about 2,022 (210)

The Identifying Code, the Locating-dominating, the Open Locating-dominating and the Locating Total-dominating Problems Under Some Graph Operations [PDF]

open access: yesElectronic Notes in Theoretical Computer Science, 2019
International audienceThe problems of determining minimum identifying, locating-dominating, open locating-dominating or locating total-dominating codes in a graph G are variations of the classical minimum dominating set problem in G and are all known to ...
Annegret K Wagler
exaly   +2 more sources

Fault-tolerant locating-dominating sets

open access: yesDiscrete Mathematics, 2002
For facilities safeguards problems in which one is interested in detecting the presence of, and determining the exact location of, an intruder, and for determining an inoperable component in a processor network, locating-dominating sets are of interest ...
Peter J Slater
exaly   +2 more sources

An optimal locating-dominating set in the infinite triangular grid

open access: yesDiscrete Mathematics, 2006
Assume that G=(V,E) is an undirected graph, and C⊆V. For every v∈V, we denote by I(v) the set of all elements of C that are within distance one from v.
Iiro Honkala
exaly   +2 more sources

Locating and paired-dominating sets in graphs

open access: yesDiscrete Applied Mathematics, 2009
In this paper, we continue the study of paired-domination in graphs introduced by Haynes and Slater [T.W. Haynes, P.J. Slater, Paired-domination in graphs, Networks 32 (1998), 199–206].
Michael A Henning
exaly   +2 more sources

A polyhedral approach to locating-dominating sets in graphs

open access: yesElectronic Notes in Discrete Mathematics, 2015
International audienceThe locating-dominating set problem is a special domination problem, challenging both from a theoretical and a computational point of view.
Gabriela R Argiroffo   +2 more
exaly   +1 more source

A note on locating-dominating sets in twin-free graphs

open access: yesDiscrete Mathematics
In this short note, we prove that every twin-free graph on n vertices contains a locating-dominating set of size at most ⌈[Formula presented]n⌉. This improves the earlier bound of ⌊[Formula presented]n⌋ due to Foucaud, Henning, Löwenstein and Sasse from ...
VÍCTOR Falgas–Ravry, Laure Morelle
exaly   +2 more sources
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Locating-dominating sets: From graphs to oriented graphs

Discrete Mathematics, 2023
Tuomo Lehtilä, Aline Parreau
exaly  

On redundant locating-dominating sets

Discrete Applied Mathematics, 2023
Devin Jean, Suk J Seo
exaly  

Minimizing the size of an identifying or locating-dominating code in a graph is NP-hard

Theoretical Computer Science, 2003
Irène Charon, Antoine Lobstein
exaly  

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