Application of Complex Neutrosophic Graphs in Hospital Infrastructure Design

Mohammed Alqahtani, M. Kaviyarasu (), Anas Al-Masarwah and M. Rajeshwari
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Mohammed Alqahtani: Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, P.O. Box 93499, Riyadh 11673, Saudi Arabia
M. Kaviyarasu: Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R & D Institute of Science and Technology, Chennai 600002, India
Anas Al-Masarwah: Department of Mathematics, Faculty of Science, Ajloun National University, P.O. Box 43, Ajloun 26810, Jordan
M. Rajeshwari: Department of Mathematics, Presidency University, Bangalore 560064, India

Mathematics, 2024, vol. 12, issue 5, 1-23

Abstract: Complex neutrosophic graphs are created by combining complex neutrosophic sets with graph theory ideas. This provides a flexible framework for tackling complex problem-solving circumstances. Various processes, such as union, join, and composition, are thoroughly investigated to improve the administration of complicated neutrosophic graphs. This research also looks into the area of complicated neutrosophic graph homeomorphisms, investigating the transformations and mappings that occur inside these structures. This investigation advances our knowledge of the intrinsic features and linkages found in complicated neutrosophic graphs. Finally, our methodology’s practical usefulness is demonstrated by its use in the design of hospital infrastructure. We illustrate the effectiveness of complicated neutrosophic graphs in addressing difficult design concerns and optimizing infrastructure solutions for practical deployment in this real-world scenario.

Keywords: complex neutrosophic graphs; operations; isomorphism; complement (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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