Narumi-Katayama Index of Total Transformation Graphs
Nilanjan De
TL;DR
This paper investigates the Narumi-Katayama index, a measure based on vertex degrees, across various total transformation graphs, expanding understanding of its properties in chemical graph theory.
Contribution
It introduces the analysis of the Narumi-Katayama index for different total transformation graphs, providing new insights into its behavior and applications.
Findings
Derived formulas for the index of specific transformation graphs
Identified relationships between graph transformations and index values
Extended the index's applicability in chemical graph theory
Abstract
The Narumi-Katayama index of a graph was introduced in 1984 for representing the carbon skeleton of a saturated hydrocarbons and is defined as the product of degrees of all the vertices of the graph. In this paper, we examine the Narumi-Katayama index of different total transformation graphs.
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Taxonomy
TopicsGraph theory and applications · Computational Drug Discovery Methods · Synthesis and Properties of Aromatic Compounds