Fourth order and fourth sum connectivity indices of tetrathiafulvalene dendrimers

Authors

  • N. ARIF Universiti Sains Malaysia, Malaysia
  • R. HASNI Universiti Malaysia Terengganu, Terengganu, Malaysia
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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Journal title

volume 3  issue 2

pages  155- 163

publication date 2012-09-01

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