Fault tolerant metric resolvability of convex polytopes

Fault tolerant metric basis assigns a unique code in terms of distances to each node of the graph which works in the presence of faults. The distance based parameters are widely used in different fields like robot navigation, interconnection networks, sensor deployments, image processing and chemistry. The convex polytopes are stable and destroy resistant which make them attractive choice for interconnection networks and anti-tracking networks. The current article, computes the fault tolerant metric dimension (FTMD) of convex polytopes $B_n, C_n, E_n$ and $U_n$. The applications of FTMD have also been considered in the manuscript.

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Publication Details

Journal
Hacettepe Journal of Mathematics and Statistics
Published
2025-04-11
DOI
https://doi.org/10.15672/hujms.1336986
Primary Topic
Robotic Path Planning Algorithms
Type
article
Field-Weighted Citation Impact
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article

Fault tolerant metric resolvability of convex polytopes

Agha Kashif, Asım Nadeem, Kamran Azhar, Sohail Zafar
Hacettepe Journal of Mathematics and Statistics
Robotic Path Planning Algorithms
article

Fault tolerant metric resolvability of convex polytopes

Agha Kashif, Asım Nadeem, Kamran Azhar, Sohail Zafar
article en

Abstract

Fault tolerant metric basis assigns a unique code in terms of distances to each node of the graph which works in the presence of faults. The distance based parameters are widely used in different fields like robot navigation, interconnection networks, sensor deployments, image processing and chemistry. The convex polytopes are stable and destroy resistant which make them attractive choice for interconnection networks and anti-tracking networks. The current article, computes the fault tolerant metric dimension (FTMD) of convex polytopes $B_n, C_n, E_n$ and $U_n$. The applications of FTMD have also been considered in the manuscript.

Hacettepe Journal of Mathematics and StatisticsVol. 54(6)
University of Management and Technology (US), Forman Christian College (PK), University of Management and Technology (PK)
Openalex Percentile: Top 94%
Robotic Path Planning Algorithms
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Fault tolerant metric resolvability of convex polytopes — Agha Kashif, Asım Nadeem, et al. · Hacettepe Journal of Mathematics and Statistics (2025) | TGRS Research Map | TGRS