基于边交换操作的最大不变树。
On Trees with Greatest -Invariant Using Edge Swapping Operations.
机构信息
School of Software, Pingdingshan University, Pingdingshan, Henan 467000, China.
International Joint Laboratory for Multidimensional Topology and Carcinogenic Characteristics Analysis of Atmospheric Particulate Matter PM2.5, Pingdingshan, Henan 467000, China.
出版信息
Comput Intell Neurosci. 2022 Jun 28;2022:8291974. doi: 10.1155/2022/8291974. eCollection 2022.
The -index of a graph is defined as ()=∑ ( ). In this paper, we use edge swapping transformations to find the extremal value of the F-index among the class of trees with given order, pendent vertices, and diameter. We determine the trees with given order, pendent vertices, and diameter having the greatest -index value. Also, the first five maximum values of index among the class of trees with given diameter are determined.
图的 -index 定义为 ()=∑ ( )。在本文中，我们使用边交换变换来找到给定阶数、悬挂顶点和直径的树类中 F-index 的极值。我们确定了具有给定阶数、悬挂顶点和直径的树，它们具有最大的 -index 值。此外，还确定了给定直径的树类中 -index 的前五个最大值。
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