Fourth Order and Fourth Sum Connectivity Indices of Tetrathiafulvalene Dendrimers

HASNI, R.; ARIF, N. E.

doi:10.22052/ijmc.2012.5235

Fourth Order and Fourth Sum Connectivity Indices of Tetrathiafulvalene Dendrimers

Document Type : Research Paper

Authors

R. HASNI ¹
N. E. ARIF ²

¹ Universiti Malaysia Terengganu, Terengganu, Malaysia

² Universiti Sains Malaysia, Malaysia

10.22052/ijmc.2012.5235

Abstract

The m-order connectivity index (G) m of a graph G is     1 2 1 1 2 1 ... ... 1 ( ) i i im m v v v i i i m d d d  G where 1 2 1 ... i i im d d d  runs over all paths of length m in G and i d denotes the degree of vertex i v . Also,        1 2 1 1 2 1 ... ... 1 ( ) i i im m v v v i i i ms d d d X G is its m-sum connectivity index. A dendrimer is an artificially manufactured or synthesized molecule built up from branched units called monomers. In this paper, the 4-order connectivity and 4-sum connectivity indices of tetrathiafulvalene dendrimers are computed.

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