Author(s):
1. Nazia Bibi:
Muslim Youth University,Islamabad,Pakistan
2. Abdul Raheem:
Muslim Youth University,Islamabad,Pakistan
Abstract:
The Wiener polarity index is a recognized distance-based topological invariant which is of major importance in examinations of chemical and Nano-structural graphs. It is defined as the number of unordered pairs of vertices which are separated in the graph by three edges (of length three.) Here in this paper, we discuss the Wiener polarity type invariant of some classes of nanostructures, such as nanotube, Nano ribbon and some structures of dendrites. In every structure we provide concrete formulas and, in selected cases, strong bounds with combinatorial justification. We have exploited the structural decomposition and counting methods to find closed-form expressions to find the role of the molecular geometry in the value of Wiener polarity. Besides giving a contribution to the theoretical development of distance-based graph invariants, the results also present a possible avenue of applications in the modeling and characterization of Nano scale materials.
Page(s):
175-175
DOI:
DOI not available
Published:
Journal: 4th International Conference of Sciences “Revamped Scientific Outlook of 21st Century, 2025” , November 12,2025, Volume: 1, Issue: 1, Year: 2025
Keywords:
dendrimers
,
nanostructures
,
Nanotubes
,
distanceuseful topological indices
,
Wiener polarity index
,
nanoribbons
References:
References are not available for this document.
Citations
Citations are not available for this document.