Graph operations on Lanzhou index intuitionistic fuzzy graph

Senbagamalar, J.; Gomathi, V.; Sudha, S.

doi:10.47974/JDMSC-2567

Open Access Research Article

Graph operations on Lanzhou index intuitionistic fuzzy graph

^*J. SenbagamalarCorresponding authorsenbagamalar2005@yahoo.comDepartment of MathematicsAvadiVel Tech Rangarajan Dr. Sagunthala R & D Institute of Science and TechnologyChennai, Tamil Nadu, 600062, IndiaView full profile → , V. Gomathigomathikarana94@gmail.comDepartment of MathematicsAvadiVel Tech Rangarajan Dr. Sagunthala R & D Institute of Science and TechnologyChennai, Tamil Nadu, 600062, IndiaView full profile → , S. Sudhasudha.aarpitha@gmail.comDepartment of MathematicsHindustan Institute of Technology & ScienceChennai, Tamil Nadu, 603103, India0000-0002-5896-3999View full profile →

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pp. 2279–2287Vol. 29Issue 6June 2026DOI: 10.47974/JDMSC-2567 Crossmark XML

Received:: 01 May 2025
Published Online:: 13 Jun 2026
Article type:: Research Article
Language:: EN
Article no.:: JDMSC-2567
Pages:: 2279–2287

Abstract

Intuitionistic fuzzy graphs ΙFgs are a generalization of same community which belongs to assets and liabilities fuzzy graphs which provide us with a broader context to address the uncertainty, hesitation, and ambiguity which naturally exists within real-world complex systems, such as social networks, communication systems and biological networks. With the intuitionistic fuzzy model, we can describe partial truths more accurately than we could with classical or fuzzy graphs. A more recent development within this real includes the Lanzhou index, a topological index that characterizes the molecular structure in chemical graph theory more closely than the current derivatives provide. In this paper, we explore the Lanzhou index’s graph operations on ΙFgs. Similarly, these operations will reflect alterations in a network construction, such as combining systems, generating new links and expanding the network, and the Lanzhou index’s behavior will be illustrative of the relative effect.

Keywords

Degree Distance Graph operations Intuitionistic fuzzy graph

Subject Classifications

03E7203E7505C09

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