Mathematical Study of Topological Indices
| dc.contributor.author | Nida-Ul-Nasar | |
| dc.contributor.author | FA21-RMT-033 | |
| dc.contributor.author | Prof. Dr. Muhammad Hussain | |
| dc.date.accessioned | 2026-03-16T10:22:53Z | |
| dc.date.issued | 2022 | |
| dc.description.sponsorship | A mapping that links the fundamental graph with a number and is constant across all graph isomorphisms is known as a topological index. The quantitative structure property re- lationship and quantitative structure activity relationship models analyst the attributes of molecules using a variety of topological indices. Our present study is based on analytical and computational study of TIs. A portion of the open problem in this study is:Which of the n-vertex graph related individuals have a particular index’s minimum or maximum value? The primary goal of this research project is to address and provide an explanation for the query mentioned earlier through developing tight boundaries for TIs for altered families of graphs.In this study, we first explore the phenomenon of dangling routes on inverse degree increase and reduction, geometric arithmetic, augmented Zagreb, and atom bond connec- tivity index, and we characterize graphs with lowest and maximum values of these indices. The families of graphs that are undergoing transformations across pendent pathways are then taken into consideration, and bonds are built for these families of altered graphs in relation to the aforementioned indices. We indicated that the maximum and lowest values of these indices are associated with altered graphs.Further, calculation for the Topological indices of cellulose network is done and closed form formula concerning connection Zagreb indices of carbon nanocones are determined. The generalization of our findings is done up-to a large class of carbon nanocones. Finally, we find out the bounds of connection Zagreb indices for graph networks formed by more than one copy of given graph in a specific way and their subdivided graphs and characterize such graph networks having exact values. | |
| dc.identifier.uri | https://repository.cuilahore.edu.pk/handle/123456789/2882 | |
| dc.language.iso | en_US | |
| dc.publisher | Library Information Services, CUI Lahore | |
| dc.subject | Mathematical Study of Topological Indices | |
| dc.title | Mathematical Study of Topological Indices | |
| dc.type | Thesis |