FAULT TOLERANT METRIC RESOLVABILITY OF CONVEX POLYTOPES

Asım Nadeem; Kamran Azhar; Agha Kashif; Sohail Zafar

doi:10.15672/hujms.1336986

Research Article

Year 2025, Early Access, 1 - 13

Asım Nadeem , Kamran Azhar , Agha Kashif , Sohail Zafar

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

Abstract

References

[1] S. Akhter and R. Farooq, Metric dimension of fullerene graphs, EJGTA. 7(1), 91– 103, 2019.

FAULT TOLERANT METRIC RESOLVABILITY OF CONVEX POLYTOPES

Year 2025, Early Access, 1 - 13

Asım Nadeem , Kamran Azhar , Agha Kashif , Sohail Zafar

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

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

References

[1] S. Akhter and R. Farooq, Metric dimension of fullerene graphs, EJGTA. 7(1), 91– 103, 2019.

There are 1 citations in total.

Details

Primary Language	English
Subjects	Experimental Mathematics
Journal Section	Mathematics
Authors	Asım Nadeem 0000-0002-0568-1592 Kamran Azhar 0000-0002-3584-9085 Agha Kashif 0000-0002-1097-3450 Sohail Zafar 0000-0002-8177-7799
Early Pub Date	April 11, 2025
Publication Date
Published in Issue	Year 2025 Early Access

Cite

APA	Nadeem, A., Azhar, K., Kashif, A., Zafar, S. (2025). FAULT TOLERANT METRIC RESOLVABILITY OF CONVEX POLYTOPES. Hacettepe Journal of Mathematics and Statistics1-13. https://doi.org/10.15672/hujms.1336986
AMA	Nadeem A, Azhar K, Kashif A, Zafar S. FAULT TOLERANT METRIC RESOLVABILITY OF CONVEX POLYTOPES. Hacettepe Journal of Mathematics and Statistics. Published online April 1, 2025:1-13. doi:10.15672/hujms.1336986
Chicago	Nadeem, Asım, Kamran Azhar, Agha Kashif, and Sohail Zafar. “FAULT TOLERANT METRIC RESOLVABILITY OF CONVEX POLYTOPES”. Hacettepe Journal of Mathematics and Statistics, April (April 2025), 1-13. https://doi.org/10.15672/hujms.1336986.
EndNote	Nadeem A, Azhar K, Kashif A, Zafar S (April 1, 2025) FAULT TOLERANT METRIC RESOLVABILITY OF CONVEX POLYTOPES. Hacettepe Journal of Mathematics and Statistics 1–13.
IEEE	A. Nadeem, K. Azhar, A. Kashif, and S. Zafar, “FAULT TOLERANT METRIC RESOLVABILITY OF CONVEX POLYTOPES”, Hacettepe Journal of Mathematics and Statistics, pp. 1–13, April 2025, doi: 10.15672/hujms.1336986.
ISNAD	Nadeem, Asım et al. “FAULT TOLERANT METRIC RESOLVABILITY OF CONVEX POLYTOPES”. Hacettepe Journal of Mathematics and Statistics. April 2025. 1-13. https://doi.org/10.15672/hujms.1336986.
JAMA	Nadeem A, Azhar K, Kashif A, Zafar S. FAULT TOLERANT METRIC RESOLVABILITY OF CONVEX POLYTOPES. Hacettepe Journal of Mathematics and Statistics. 2025;:1–13.
MLA	Nadeem, Asım et al. “FAULT TOLERANT METRIC RESOLVABILITY OF CONVEX POLYTOPES”. Hacettepe Journal of Mathematics and Statistics, 2025, pp. 1-13, doi:10.15672/hujms.1336986.
Vancouver	Nadeem A, Azhar K, Kashif A, Zafar S. FAULT TOLERANT METRIC RESOLVABILITY OF CONVEX POLYTOPES. Hacettepe Journal of Mathematics and Statistics. 2025:1-13.