Fault tolerant metric resolvability of convex polytopes

Year 2025, Volume: 54 Issue: 6 , 2256 - 2268 , 30.12.2025

Asım Nadeem , Kamran Azhar , Agha Kashif , Sohail Zafar

https://doi.org/10.15672/hujms.1336986

https://izlik.org/JA24XS85CA

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.

Keywords

convex polytopes , metric dimension , fault tolerant metric dimension

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