模糊发生图下的邻接图和竞争图及其应用

IF 2.6 3区数学 Computational and Applied Mathematics Pub Date : 2024-09-17 DOI:10.1007/s40314-024-02928-8

Sk Rabiul Islam, Madhumangal Pal

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引用次数: 0

摘要

竞争图是实体间竞争关系的数学表示，在各个领域都有应用。本文介绍并探讨了几种类型的图，包括模糊入射竞争图、模糊入射邻接图、p-竞争模糊入射图、m-阶模糊入射竞争图和 m-阶模糊入射邻接图。我们建立了边缘独立强或独立入射强的充分条件。建立了同构模糊入射数图的竞争图之间的关系。通过严格的分析，我们得出了有关这些图的几个有趣的结果。此外，在文章的最后，我们还利用模糊入射图对一组研究人员进行了评估，以确定组内最有影响力的成员。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Neighbourhood and competition graphs under fuzzy incidence graph and its application

Competition graphs, which are mathematical representations of competitive relationships among entities, have found applications in various domains. This article introduces and explores several types of graphs, including fuzzy incidence competition graphs, fuzzy incidence neighborhood graphs, p-competition fuzzy incidence graphs, m-step fuzzy incidence competition graphs, and m-step fuzzy incidence neighborhood graphs. We establish sufficient conditions under which an edge is independent strong or independent incidence strong. Relation between competition graphs of isomorphic fuzzy incidence digraphs is established. Through rigorous analysis, several intriguing results concerning these graphs are derived. Additionally, at the end of the article, we evaluate a group of researchers using fuzzy incidence graphs to identify the most influential member within the group.

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来源期刊

Computational and Applied Mathematics MATHEMATICS, APPLIED-

自引率

11.50%

发文量

352

期刊介绍： Computational & Applied Mathematics began to be published in 1981. This journal was conceived as the main scientific publication of SBMAC (Brazilian Society of Computational and Applied Mathematics). The objective of the journal is the publication of original research in Applied and Computational Mathematics, with interfaces in Physics, Engineering, Chemistry, Biology, Operations Research, Statistics, Social Sciences and Economy. The journal has the usual quality standards of scientific international journals and we aim high level of contributions in terms of originality, depth and relevance.