A collective property of trees and chemical trees
A collective property of trees and chemical trees
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DOI：
10.1021/ci980004b
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发表时间：
1998-09-01
期刊：
影响因子：
--
通讯作者：
Gutman, I
中科院分区：
文献类型：
--
作者：
Lepovic, M;Gutman, I
Wiener指数（W）和Hosoya多项式（H）已经计算了所有的树（因此所有的化学树）与20和更少的顶点。证实了早先的观察（Razinger，M。等人J. Chem. Inf. Comput. Sci 1985，25，23-27），我们证明了W区分非同构n-顶点树（分别为化学树）的能力以交替的方式取决于n：它在n的偶数值时增加，在n的奇数值时减少。在H的情况下也发现了类似的行为。
The Wiener index (W) and the Hosoya polynomial (H) have been calculated for all trees (and thus for all chemical trees) with 20 and fewer vertices. Corroborating an earlier observation (Razinger, M. et al. J. Chem. Inf. Comput. Sci 1985, 25, 23-27), we show that the ability of W to distinguish between nonisomorphic n-vertex trees (respectively, chemical trees) depends on n in an alternating manner: it increases for even values of n and decreases for odd values of n. An analogous behavior is also found in the case of H.