Distance-Based Topological Descriptors of Capra Operation on Some Graphs

Abstract

The Capra operation is a graph theoretical operation that transforms the given graph into a structurally different and larger graph. It is commonly used in statistical analysis, data processing, and scientific research to compare and analyze data. The Capra operation involves subtracting the reference value from each numerical value, taking the absolute value of the resultand raising it to a specified power. This operation is used to create a new set of values that are more sensitive to differences between numerical values and can help to identify outliers and other anomalous data points. The Capra operation has numerous applications in fields such as finance, engineering, and biology, where it is used to analyze data and make predictions about future trends. Its ability to transform data and highlight differences between values makes it a valuable tool for researchers and analysts seeking to gain deeper insights into the patterns and structures within their data. In this paper, we studied the distance-based topological indices of some graphs under the Capra operation.

Keywords:

• Distance-based topological indices
• capra operation
• graph products

Author contributions

MAM: conceptualization, methodology, review, and proofreading. MA: verification, proofreading, project administration, methodology, software, and draft preparation. IB: validation, resources, investigation, data correction, and writing. HMH: formal analysis, resources, and visualization. All authors have read and agreed to the published version of the manuscript.

Disclosure statement

No potential conflict of interest was reported by the authors.

Data availability statement

All data generated or analyzed during this study are included in this published article. The data used and analyzed during the current study available from the corresponding author on reasonable request.

Table 1. Capra first kind first iteration.

Table 2. Capra second kind first iteration.