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The Edge Version of Geometric-arithmetic Index of Nanotubes
Nur Hafiza Azwani Binti Mohd Saidi
Supervisor: Dr. Mohamad Nazri Bin Husin
Bachelor of Science (Computational Mathematics)
School of Informatics and Applied Mathematics
Topological indices are numerical values associated with chemical constitutions for the
purpose of correlating chemical structure with various properties such as physical
properties, chemical reactivity or biological activity. Three major classes of topological
indices such as distance based, degree based and counting related polynomials and
indices of graphs. The edge version of geometric-arithmetic, GA e index is one of the index
in degree based of topological indices. It’s introduced based on the end vertex degree of
edges of their line graphs from the geometric-arithmetic, GA index. In this dissertation,
we focused on the concept of GA e index used to apply and discuss for L(TUC 4 C 6 C 8 [m, n])
and L(TUSC 4 C 8 (S)[m, n]) nanotubes. As a result, we produce the general formula for
GA e index and the comparison between GA e index for L(TUC 4 C 6 C 8 [m, n]) and
L(TUSC 4 C 8 (S)[m, n]) nanotubes. Then, we investigated the comparison between the
correlation of GA e index for L(TUC 4 C 6 C 8 [m, n]and L(TUSC 4 C 8 (S)[m, n]nanotubes. This
shows that TUSC 4 C 8 (S)[m, n] are most sensitivity to GA e index.
980 | UMT UNDERGRADUATE RESEARCH DAY 2018