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Hosoya polynomial of zigzag polyhex nanotorus
Author(s) -
Mehdi Eliasi,
Bijan Taerı
Publication year - 2008
Publication title -
journal of the serbian chemical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.227
H-Index - 45
eISSN - 1820-7421
pISSN - 0352-5139
DOI - 10.2298/jsc0803311e
Subject(s) - zigzag , wiener index , combinatorics , mathematics , polynomial , topological index , graph , derivative (finance) , mathematical analysis , geometry , financial economics , economics
The Hosoya polynomial of a molecular graph G is defined as ∑ ⊆ = ) ( } , { ) , ( ) , ( G V v u v u d G H λ λ , where d(u,v) is the distance between vertices u and v. The first derivative of H(G,λ) at λ = 1 is equal to the Wiener index of G, defined as ∑ ⊆ = ) ( } , { ) , ( ) ( G V v u v u d G W . The second derivative of ) , ( 2 1 λ λ G H at λ = 1 is equal to the hyper-Wiener index, defined as ∑ ⊆ +

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