CHARACTERIZATION OF COMPLETE P-ARY TREE WITH DEGREE-BASED TOPOLOGICAL DESCRIPTORS

Author(s) : NOHA MOHAMMAD SEYAM

Abstract:

Topological index is an important numerical magnitude that can reflect the whole structure of a graph.
Degree-based indices are mathematical descriptors worked in chemical graph theory to compute the connectivity
and underlying descriptions of molecules. These indices, such as the Wiener index, Randi´ c index, and Zagreb
indices, are obtained from the quantities of vertices in molecular graphs. The Wiener index correspond to the
calculation of gaps between all pairs of nodes in a graph, presenting information about molecular dimension
and separating. Zagreb indices, including the first and second Zagreb indices, summarize the measure allocation
and node connectivity within a molecular graph. Degree-based indices portray a critical position in molecular
modeling, QSAR investigations, and medication layout, requiring perceptions into molecular regional anatomy
and forecasting various physicochemical assets. In this article, we compute topological descriptors for complete
p-ary trees. Interesting comparison of these indices are is also shown in tabular and graphical format. Moreover,
expressions for multiple Zagreb indices and polynomials for these important classes are found.