亚苯基链的修正互惠度距离指标

Maximum matching forcing number in some special graphs

化学分子图的拓扑指标是一种数值不变量,它可以间接预测对应化学分子的物理、化学性质。修正互惠度距离指标是互惠度距离指标的一个推广,定义为(-overR)t(G)=∑{u,v}⊆V(G)(dG(u)+dG(v))/(dG(u,v)+t),t≥0^[1]。亚苯基链是一类重要的芳香类化学分子图,具有很强的化学背景。在所有具有n个六边形的亚苯基链中,确定了具有最小、最大修正互惠度距离指标的极值亚苯基链。

The topological index of chemical molecule is a kind of numerical invariant,which can predict indirectly the physical and chemical properties of the corresponding chemical.The reformulated reciprocal degree distance index is a generalized of reciprocal degree distance,defined as:(-overR)t(G)=∑{u,v}⊆V(G)(dG(u)+dG(v))/(dG(u,v)+t),t≥0^[1].Phenylene chain is a kind of important aromatic chemical molecule,which have strongly chemical background.We determined extremal phenylene chains with minimum and maximum reformulated reciprocal degree distance indices in all phenylene chains with n hexagons.