Wiener polarity index of fullerenes and hexagonal systems
Wiener polarity index of fullerenes and hexagonal systems
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DOI：
10.1016/j.aml.2012.01.006
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发表时间：
2012-10-01
影响因子：
3.7
通讯作者：
Ashrafi, A. R.
中科院分区：
文献类型：
--
作者：
Behmaram, A.;Yousefi-Azari, H.;Ashrafi, A. R.
The Wiener polarity index W-p(G) of a molecular graph G of order n is the number of unordered pairs of vertices u, v of G such that the distance d(G)(u, v) between u and v is 3. In this note, it is proved that in a triangle- and quadrangle-free connected graph G with the property that the cycles of G have at most one common edge, W-p(G) = M-2(G) - M-1(G) - 5N(p) - 3N(h) + vertical bar E(G)vertical bar, where M-1(G), M-2(G), N-p and N-h denoted the first Zagreb index, the second Zagreb index, the number of pentagons and the number of hexagons, respectively. As a special case, it is proved that the Wiener polarity index of fullerenes with n carbon atoms is (9n - 60)/2. The extremal values of catacondensed hexagonal systems, hexagonal cacti and polyphenylene chains with respect to the Wiener polarity index are also computed. (C) 2012 Elsevier Ltd. All rights reserved.
