The first and second Zagreb indices are the molecular descriptors that were appeared within a study of molecular modeling more than four decades ago. The coindex versions of these Zagreb indices were introduced around one decade before. Finding trees with the first two extremum Zagreb indices/coindices from the class of all chemical trees of a fixed order is a chemical‐graph‐theoretic problem whose partial solution is known. This paper is devoted to reporting the complete solution of the aforementioned problem.

中文翻译：

---

关于前两个极值Zagreb指数和化学树的共形体

Zagreb的第一个和第二个索引是四十多年前在分子建模研究中出现的分子描述符。这些Zagreb索引的共同索引版本是在大约十年前引入的。从固定顺序的所有化学树的类别中查找具有前两个极值Zagreb指数/共同指数的树是一个化学图论问题，其局部解决方案是已知的。本文致力于报告上述问题的完整解决方案。