模糊图中 Sombor 指数的无数界限和意义

IF 2.4 3区数学 Q1 MATHEMATICS Journal of Applied Mathematics and Computing Pub Date : 2024-08-17 DOI:10.1007/s12190-024-02217-x

Biswajit Some, Sourav Mondal, Anita Pal

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引用次数: 0

摘要

拓扑指数是数学化学中的一种有用工具，它将数值与网络结构联系起来。桑布尔指数是建立这种联系的著名指数。本研究从模糊的角度对松博指数进行了概括。我们引入了模糊图的桑博指数（\(SO(FG)\)）。针对许多图操作，包括笛卡尔积、组合、连接和联合，建立了 \(SO(FG)\) 的一些关键边界。此外，我们还发现了松博指数与其他拓扑指数之间的关系。此外，我们还介绍了模糊图的 Sombor 指数在识别印度最令人担忧的癌症类型中的应用，这清楚地证明了 Sombor 指数的通用性。

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Numerous bounds and significance of the Sombor index in fuzzy graph

The topological index is a useful tool in mathematical chemistry that connects a numerical value to a network structure. The Sombor index is well-known for establishing such connections. This work presents the generalization of the Sombor index from a fuzzy point of view. We introduce the Sombor index for fuzzy graphs (\(SO(FG)\)). Some crucial bounds of \(SO(FG)\) are established for numerous graph operations, including Cartesian product, composition, join, and union. In addition, we find the relationship between the Sombor index and other topological indices. Moreover, we present an application of the Sombor index for fuzzy graphs to identify the most alarming type of cancer in India, which clearly justifies the generalization of the Sombor index.

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来源期刊

Journal of Applied Mathematics and Computing Mathematics-Computational Mathematics

CiteScore

4.20

自引率

4.50%

发文量

131

期刊介绍： JAMC is a broad based journal covering all branches of computational or applied mathematics with special encouragement to researchers in theoretical computer science and mathematical computing. Major areas, such as numerical analysis, discrete optimization, linear and nonlinear programming, theory of computation, control theory, theory of algorithms, computational logic, applied combinatorics, coding theory, cryptograhics, fuzzy theory with applications, differential equations with applications are all included. A large variety of scientific problems also necessarily involve Algebra, Analysis, Geometry, Probability and Statistics and so on. The journal welcomes research papers in all branches of mathematics which have some bearing on the application to scientific problems, including papers in the areas of Actuarial Science, Mathematical Biology, Mathematical Economics and Finance.