Extremal graph of super line graph operation via generalized Randić index

• Published in: Ain Shams Engineering Journal Vol. 15; no. 10; p. 102938
• Main Authors: Ain, Hoor Ul, Ismail, Rashad, Jamil, Muhammad Kamran, Elzain Mohammed Abdulla, Manal, Azeem, Muhammad
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.10.2024; Elsevier
• Subjects: Extremal superline graph; Generalized Randić index; Graph operations; Super line graph; Topological indices; Extremal superline graph; Graph operations; Super line graph; Generalized Randić index; Topological indices
• ISSN: 2090-4479
• DOI: 10.1016/j.asej.2024.102938

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.