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Hosoya polynomials of TUC 4 C 8 ( R ) nanotubes
Author(s) -
Chen Jianfu,
Xu Shoujun,
Zhang Heping
Publication year - 2008
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.21873
Subject(s) - wiener index , combinatorics , polynomial , graph , mathematics , physics , connectivity , mathematical analysis
For a connected graph G , the Hosoya polynomial of G is defined as H ( G, x ) = ∑ { u,v }⊆ V ( G ) x d ( u, v ) , where V ( G ) is the set of all vertices of G and d ( u,v ) is the distance between vertices u and v . In this article, we obtain analytical expressions for Hosoya polynomials of TUC 4 C 8 ( R ) nanotubes. Furthermore, the Wiener index and the hyper‐Wiener index can be calculated. © 2008 Wiley Periodicals, Inc. Int J Quantum Chem, 2009