Results 191 to 200 of about 718 (221)

Twin Vertices in Fault-Tolerant Metric Sets and Fault-Tolerant Metric Dimension of Multistage Interconnection Networks [PDF]

open access: yesApplied Mathematics and Computation, 2022
A set of vertices $S\subseteq V(G)$ is a basis or resolving set of a graph $G$ if for each $x,y\in V(G)$ there is a vertex $u\in S$ such that $d(x,u)\neq d(y,u)$. A basis $S$ is a fault-tolerant basis if $S\setminus \{x\}$ is a basis for every $x \in S$.
Arulperumjothi M   +2 more
exaly   +8 more sources

Redefining Fractal Cubic Networks and Determining Their Metric Dimension and Fault-Tolerant Metric Dimension

Applied Mathematics and Computation, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arulperumjothi M   +2 more
exaly   +2 more sources

On the Fault-Tolerant Metric Dimension of Convex Polytopes

Applied Mathematics and Computation, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sakander Hayat   +2 more
exaly   +4 more sources

Fault-tolerant strong metric dimension of graphs

Discrete Mathematics, Algorithms and Applications, 2022
In this paper, we introduce a variant of strong metric dimension, called the fault-tolerant strong metric dimension. A strong resolving set [Formula: see text] for [Formula: see text] is fault-tolerant if [Formula: see text] is also a strong resolving set, for each [Formula: see text] in [Formula: see text], and the fault-tolerant strong metric ...
Sathish Krishnan, Bharati Rajan
openaire   +2 more sources

On Fault-Tolerant Metric Dimension of Supramolecular Networks

Discrete Mathematics, Algorithms and Applications
The idea of a fault-tolerant metric dimension can be used in chemistry to examine a molecule’s structural resistance to the failure of particular atoms or chemical bonds. This is especially important when creating molecules for specific uses, like drug candidates, as they may be exposed to biological systems or the environment, which could cause ...
Muhammad Kamran Siddiqui   +2 more
exaly   +4 more sources

The Fault-Tolerant Metric Dimension of the King’s Graph [PDF]

open access: yesVestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya, 2017
exaly   +2 more sources

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