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Recent Advances in the Theory of Zagreb Indices

机译:萨格勒布指数理论的最新进展

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Several recent advances in the theory of Zagreb indices are summarized. A pair of molecular descriptors, denoted by M, and M_2, was introduced 35 years ago (1972) and three years later (1975) used as a branching index. These descriptors were given different names, but the term Zagreb indices appears now to be generally accepted.3 Their uses in the period of 1972-2002 was summarized in the review article by Nikolic et al. In this period the following versions of the Zagreb indices have been introduced: the modified Zagreb indices, the Zagreb complexity indices, and the overall Zagreb indices. Since this review was published, unexpectedly a number of articles appeared reporting various mathematical aspects of the Zagreb indices. Some of these results will be discussed in this report.
机译:总结了萨格勒布指数理论的一些最新进展。 35年前(1972年)和三年后(1975年)引入了一对用M和M_2表示的分子描述符,并将其用作分支指数。这些描述符使用不同的名称,但是术语Zagreb索引现在似乎已被普遍接受。3Nikolic等人在评论文章中总结了它们在1972-2002年期间的使用。在此期间,引入了以下Zagreb索引版本:修改后的Zagreb索引,Zagreb复杂度索引和总体Zagreb索引。自从发表此评论以来,出乎意料的是,出现了许多文章,这些文章报告了萨格勒布指数的各种数学方面。其中一些结果将在本报告中讨论。

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