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Investigation of Geometric-Arithmetic (GA) Index of
V-Phenylenic Nanotubes and Nanotori
Chong Pey Yee
Supervisor: Assoc. Prof. Dr. Roslan Bin Hasni @ Abdullah
Bachelor of Science (Computational Mathematics)
School of Informatics and Applied Mathematics
Let G be a simple graph with vertex set, V(G) and edge set, E(G). Geometric-arithmetic
(GA) index is one of the topological indices based on degrees of vertices. This index is
considered by Vukičević et al. (2009) and is defined as follow:
GA (G) = ∑
2√d u d v
uv∈E(G)
d u + d v
in which du is the degrees of vertices u and dv is the degrees of vertices v. V-Phenylenic
Nanotubes and Nanotori are examples of carbon nanostructures that comprise cycles with
length four (C4), six (C6) and eight (C8). This research is aimed to investigate the GA
index of V-Phenylenic Nanotubes and Nanotori. As a result, the GA index of V-Phenylenic
Nanotubes and Nanotori with different numbers of atoms in their structures are
computed.
922 | UMT UNDERGRADUATE RESEARCH DAY 2018