A forgotten topological index

作者：Furtula, Boris^*; Gutman, Ivan

来源：Journal of Mathematical Chemistry, 2015, 53(4): 1184-1190.

DOI：10.1007/s10910-015-0480-z

• Zagreb index
• First Zagreb index
• Topological index
• Forgotten index

In 1972, within a study of the structure-dependency of total -electron energy (), it was shown that depends on the sum of squares of the vertex degrees of the molecular graph (later named first Zagreb index), and thus provides a measure of the branching of the carbon-atom skeleton. In the same paper, also the sum of cubes of degrees of vertices of the molecular graph was shown to influence , but this topological index was never again investigated and was left to oblivion. We now establish a few basic properties of this "forgotten topological index" and show that it can significantly enhance the physico-chemical applicability of the first Zagreb index.

• 出版日期2015-4