Hosoya polynomial of zigzag polyhex nanotorus

Hosoya polynomial of zigzag polyhex nanotorus
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DOI:
10.2298/jsc0803311e
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发表时间:
2008
影响因子:
1
通讯作者:
M. Eliasi;B. Taeri
M. Eliasi;B. Taeri
中科院分区:
化学4区
文献类型:
--
作者:
M. Eliasi;B. Taeri

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分子图G的Hosoya多项式的定义是∑⊆ = ) ( } , { ) , ( ) , ( G d V V u V u G Hλλ,d (u, V)是顶点之间的距离u和V . H (G,λ)的一阶导数在λ= 1 = G的维纳指数,定义为∑⊆ = ) ( } , { ) , ( ) ( G d V V u V u G W。)、(21 λ λ G H在λ = 1时的二阶导数等于hyper-Wiener指数,定义为∑蔓生+
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 ∑ ⊆ +