链状四角系统的Randi指数

On the Randi index of chain polyomino systems

设G=(V,E)是一个图,其中顶点集V={v1,v2,…,vn}.G的Randic'指数为:X(G)=∑(1/vivj∈E(G)d(vi)d(vj)),其中d(v)表示顶点v的度.Randic'指数是化学图论中常见且重要的一个拓扑指数.给出直链四角系统、锯齿链四角系统和转向细胞个数为1的链状四角系统的Randic'指数.

Let G = （V,E） be a graph, where V={v1,v2,…,vn} denotes the set of vertices. The Randid index of G is defined to be X（G）=∑vjvj∈E（G）1/√d（vi）d（vj）, where d（v） denotes the degree of the vertex v. Randic index is one of the ordinary and important topological indices considered in chemical graph theory. In the paper, we obtain the Randic index for line chain polyomino systems, zigzag chain polyomino systems, and chain polyomino systems with the number of turned squares being one.