Extremal graph of super line graph operation via generalized Randić index

IF 6 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Ain Shams Engineering Journal Pub Date : 2024-07-16 DOI:10.1016/j.asej.2024.102938

Hoor Ul Ain , Rashad Ismail , Muhammad Kamran Jamil , Manal Elzain Mohammed Abdulla , Muhammad Azeem

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Abstract

Graph operations enable the modification and transformation of graphs, enhancing data representation as well as effectiveness in fields such as computer science, mathematics, and data analysis. Super line graph operations are a concept of advanced graph theory that is used in advanced mathematics and computer science. They are used to solve specific mathematical problems, especially in graph theory and Combinatorics. Topological numbers are numerical values connected with graph structures that are used to analyze structural characteristics and solve problems in fields such as chemistry and mathematics. They are important for simplifying complex data and enabling quantitative analysis. The general Randić number of some super line graph operations of number two with a three-diameter is investigated in this study. The pendant vertices are inserted without disturbing their diameter. Seven graphs of order five, each with a diameter of three, can be used to create twenty-three generalized super line graphs.

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通过广义兰迪克指数实现超线图运算的极值图

图形运算可以对图形进行修改和转换，从而增强数据表示能力，并提高计算机科学、数学和数据分析等领域的效率。超线图运算是高级图论的一个概念，用于高等数学和计算机科学。它们用于解决特定的数学问题，尤其是图论和组合学中的问题。拓扑数是与图结构相关的数值，用于分析结构特征和解决化学和数学等领域的问题。拓扑数对于简化复杂数据和进行定量分析非常重要。本研究探讨了一些直径为三的二数超线图运算的一般 Randić 数。在不影响直径的情况下插入垂顶。七个直径为三的五阶图形可用于创建二十三个广义超线图。

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来源期刊

Ain Shams Engineering Journal Engineering-General Engineering

CiteScore

10.80

自引率

13.30%

发文量

441

审稿时长

49 weeks

期刊介绍： in Shams Engineering Journal is an international journal devoted to publication of peer reviewed original high-quality research papers and review papers in both traditional topics and those of emerging science and technology. Areas of both theoretical and fundamental interest as well as those concerning industrial applications, emerging instrumental techniques and those which have some practical application to an aspect of human endeavor, such as the preservation of the environment, health, waste disposal are welcome. The overall focus is on original and rigorous scientific research results which have generic significance. Ain Shams Engineering Journal focuses upon aspects of mechanical engineering, electrical engineering, civil engineering, chemical engineering, petroleum engineering, environmental engineering, architectural and urban planning engineering. Papers in which knowledge from other disciplines is integrated with engineering are especially welcome like nanotechnology, material sciences, and computational methods as well as applied basic sciences: engineering mathematics, physics and chemistry.