Tree-like polyphenyl systems with extremal Wiener indices ∗

Tree-like polyphenyl systems with extremal Wiener indices ∗
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发表时间:
2009
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通讯作者:
H. Bian;Fuji Zhang;张福基
H. Bian;Fuji Zhang;张福基
中科院分区:
其他
文献类型:
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作者:
H. Bian;Fuji Zhang;张福基

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连通图的Wiener指标是图的所有顶点对之间的距离之和。本文确定了h六边形多苯链中Wiener指数最小和最大的多苯链,以及Wiener指数最大的树状多苯系。此外,还得到了极值多苯链的Wiener指数的显式公式。
The Wiener index of a connected graph is the sum of the distances between all pairs of vertices of the graph. In this paper, we determine the polyphenyl chains with minimum and maximum Wiener indices among all the polyphenyl chains with h hexagons, and the tree-like polyphenyl system with maximum Wiener index. Moreover, explicit formulas for the Wiener indices of extremal polyphenyl chains are obtained.