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Published Paper Details:
Paper Title
Topological Analysis of Generalized Fuzzy Transformation Graphs via the Modified First Zagreb Index
Authors
Hanumantha Reddy D T, S. M. Hosamani
Keywords
Modified First Zagreb Index, Fuzzy Graph Theory, Generalized Fuzzy Transformation Graphs, Topological Indices, and Upper Bounds.
Abstract
This paper introduces the Modified First Zagreb Index (M1*(G)) for fuzzy graphs, defined as the sum of the products of vertex degrees and their corresponding membership values for all adjacent vertex pairs. While traditional Zagreb indices have been extensively studied, this modified version provides a nuanced approach to capturing structural properties in fuzzy environments. We establish rigorous upper bounds for M1*(G) across four types of generalized fuzzy transformation graphs (G++, G+-, G-+, and G--) in terms of the fundamental elements of the base graph G. Numerical examples and graphical representations are provided to illustrate the theoretical results and distinguish this index from existing ones.
IJCRT's Publication Details
Unique Identification Number - IJCRT2605473
Paper ID - 308476
Page Number(s) - e33-e43
Pubished in - Volume 14 | Issue 5 | May 2026
DOI (Digital Object Identifier) - https://doi.org/10.56975/ijcrt.v14i5.308476
Publisher Name - IJCRT | www.ijcrt.org | ISSN : 2320-2882
E-ISSN Number - 2320-2882
Cite this article
Hanumantha Reddy D T, S. M. Hosamani, "Topological Analysis of Generalized Fuzzy Transformation Graphs via the Modified First Zagreb Index", International Journal of Creative Research Thoughts (IJCRT), ISSN:2320-2882, Volume.14, Issue 5, pp.e33-e43, May 2026, Available at :http://www.ijcrt.org/papers/IJCRT2605473.pdf
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ISSN: 2320-2882 Impact Factor: 7.97 and ISSN APPROVED Journal Starting Year (ESTD) : 2013
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ISSN: 2320-2882 Impact Factor: 7.97 and ISSN APPROVED Journal Starting Year (ESTD) : 2013
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