In this work, by using the properties of the variable sum exdeg indices and analyzing the structure of the quasi-tree graphs and unicyclic graphs, the minimum and maximum variable sum exdeg indices of quasi-tree graphs and quasi-tree graphs with perfect matchings were presented; the minimum and maximum variable sum exdeg indices of unicyclic graphs with given pendant vertices and cycle length were determined.

中文翻译：

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拟树图和单环图的变量和指数

在这项工作中，通过利用可变总和指数的性质并分析准树图和单环图的结构，得出了具有完美匹配的准树图和准树图的最小和最大可变总和指数。呈现; 确定具有给定的垂线顶点和循环长度的单圈图的最小和最大变量和指数。