The Energy of Interval-Valued Complex Neutrosophic Graph Structures: Framework, Application and Future Research Directions

Authors

S.N. Suber Bathusha
Sowndharya Jayakumar
S. Angelin Kavitha Raj

ORCID

S.N. Suber Bathusha: 0000-0002-1147-2391

Sowndharya Jayakumar: 0009-0008-5694-084X

S. Angelin Kavitha Raj: 0000-0003-0712-5351

Article Type

Original Study

Abstract

Graph structure is a developing field with many real-world applications and advancements, particularly effective frameworks for integrative problem-solving in computer networks and artificial intelligence systems. To define the idea of an Interval-Valued Complex Neutrosophic Graph Structure (IVCNGS), the concept of an Interval-Valued Complex Neutrosophic Set (IVCNS) is applied to the graph structure. Using the adjacency matrix to calculate the degree of vertex, we have defined some findings about the IVCNGS. Further, we compute the energy and Laplacian energy of IVCNGS. Moreover, we derive the lower and upper bounds for the energy and Laplacian energy of IVCNGS, and we have discussed their application in IVCNGS. Finally, we develop an algorithm that clarifies the fundamental processes of the application.

How to Cite

Bathusha, S.N. Suber; Jayakumar, Sowndharya; and Raj, S. Angelin Kavitha (2025) "The Energy of Interval-Valued Complex Neutrosophic Graph Structures: Framework, Application and Future Research Directions," Neutrosophic Systems with Applications: Vol. 13: Iss. 1, Article 10. DOI: https://doi.org/10.61356/j.nswa.2024.106

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.