Vertex-Based Topological Indices of Double and Strong Double Graph of Dutch Windmill Graph

Abstract

A measurement of the molecular topology of graphs is known as a topological index, and several physical and chemical properties such as heat formation, boiling point, vaporization, enthalpy, and entropy are used to characterize them. Graph theory is useful in evaluating the relationship between various topological indices of some graphs derived by applying certain graph operations. Graph operations play an important role in many applications of graph theory because many big graphs can be obtained from small graphs. Here, we discuss two graph operations, i.e., double graph and strong double graph. In this article, we will compute the topological indices such as geometric arithmetic index GA , atom bond connectivity index ABC , forgotten index F , inverse sum indeg index ISI , general inverse sum indeg index ISI α , β , first multiplicative-Zagreb index PM 1 and second multiplicative-Zagreb index PM 2 , fifth geometric arithmetic index GA 5 , fourth atom bond connectivity index ABC 4 of double graph, and strong double graph of Dutch Windmill graph D 3 p .

Harmonic Mean Cordial labeling of Some Special Graphs and Some Graphs Related to H-graph

“…Definition 5. Dutch Windmill graph : [21] A Dutch Windmill graph is the graph which is formed by taking the p copies of the cycle graph by taking one mutual vertex. It is denoted by D p n , where p ≥ 1 and n ≥ 3.…”

“…S. K. Vaidya , N. A. Dani , K. K. Kanani and P. L. Vihol proved theorems on cordial and 3-equitable labeling for some Wheel related graphs in [20]. Muhammad Asad Ali, Muhammad Shoaib Sardar, Muhammad Shoaib Sardar and Dalal Alrowaili gave explaination on Vertex-Based Topological Indices of Double and Strong Double Graph of Dutch Windmill Graph in [21].…”

Topological indices and QSPR/QSAR analysis of some drugs being investigated for the treatment of headaches

“…QSPR study determined the mathematical relation among the characteristics that under study and different indices associated to the molecular structure of the drugs. For more detailed study about topological indices, we recommend the following articles [7,8,9,10,11,12].…”

Computation of Vertex‐Based Topological Indices of Middle Graph of Alkane (CtH2t+2)

“…For more comprehensive discussion, we mention for the readers to read the following research articles [10][11][12][13][14][15][16].…”