Graphical Invariants for some Transformed Networks

A topological index is a numerical character associated with a graph that is invariant under graph isomorphism and describe the graphs topology. There are several graph operations that may be used to change it into a new structure, such as constructing a stellation, bounded dual, complement, subdivi...

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Bibliographic Details
Published in:European journal of pure and applied mathematics 2024-04, Vol.17 (2), p.690-709
Main Authors: Ali, Nawaf, Khalifa, Tarek, Iqbal, Hifza, Aftab, Muhammad Haroon, Jebreen, Kamel, Jamil, Humira, Kanj, Hassan
Format: Article
Language:English
Online Access:Get full text
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Summary:A topological index is a numerical character associated with a graph that is invariant under graph isomorphism and describe the graphs topology. There are several graph operations that may be used to change it into a new structure, such as constructing a stellation, bounded dual, complement, subdivided, line graph, minor, dual, and medial. In this paper, we construct transformed networks from the concealled non-kekulean benzenoid hydrocarbon structure by applying stellation and bounded dual operations, further we study their degree based topological properties by appropriately labeling the graph. Degree based topological indices are playing significant role among other types of indices in chemical, pharmaceutical and bio-informatics industry, since they correlate the structure with its physicochemical properties.
ISSN:1307-5543
1307-5543
DOI:10.29020/nybg.ejpam.v17i2.5078