Computing Gutman Connection Index of Thorn Graphs. (15th November 2021)

• Record Type: Journal Article
• Authors: Javaid, Muhammad; Siddique, Muhammad Khubab; Bonyah, Ebenezer
• Other Names: Imran Muhammad Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2021(2021)
• Publication Date: 2021-11-15
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2021/2289514
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : Chemical structural formula can be represented by chemical graphs in which atoms are considered as vertices and bonds between them are considered as edges. A topological index is a real value that is numerically obtained from a chemical graph to predict its various physical and chemical properties. Thorn graphs are obtained by attaching pendant vertices to the different vertices of a graph under certain conditions. In this paper, a numerical relation between the Gutman connection (GC) index of a graph and its thorn graph is established. Moreover, the obtained result is also illustrated by computing the GC index for the particular families of the thorn graphs such as thorn paths, thorn rods, thorn stars, and thorn rings.