Milicević Ante, Nikolić Sonja, Trinajstić Nenad
The Rugjer Bosković Institute, Bijenicka 54, HR-10002 Zagreb, Croatia.
Mol Divers. 2004;8(4):393-9. doi: 10.1023/b:modi.0000047504.14261.2a.
Zagreb indices were reformulated in terms of the edge-degrees instead of the vertex-degrees as the original Zagreb indices. Three types of Zagreb indices were considered: original, modified and variable Zagreb indices. It is found that the optimum exponent of the variable reformulated Zagreb M2 index (v = -1/2) is identical with the exponent of the vertex-connectivity index, which is the most used topological index in QSPR and QSAR. The close relationship between the graph and its line graph is used to relate the original and reformulated indices.
萨格勒布指数是根据边度而非顶点度重新定义的，与原始的萨格勒布指数不同。研究了三种类型的萨格勒布指数：原始的、修正的和可变的萨格勒布指数。研究发现，可变重新定义的萨格勒布M2指数（v = -1/2）的最佳指数与顶点连通性指数的指数相同，顶点连通性指数是定量结构-性质关系（QSPR）和定量结构-活性关系（QSAR）中最常用的拓扑指数。利用图与其线图之间的紧密关系来关联原始指数和重新定义的指数。
