发表机构
University of Applied Science and Technology（应用科学与技术大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出新的基于支配度的拓扑指数DRMS，建立其基本界、幂平均下界及与已知指数的尖锐界，并给出标准图族和冠状积的闭式表达式。
AI 中文摘要
我们引入了支配倒数均方指数\(DRMS\)，这是一种新的基于支配度的拓扑指数，通过将倒数均方指数中的普通度替换为支配度而获得。我们建立了关于图大小和极值支配度的基本界，通过幂平均导出了一个单参数族的尖锐下界，并获得了关于若干已知的基于支配度的指数的尖锐界，同时给出了等式情形的完整刻画。我们还计算了\(DRMS\)在若干标准图族以及两个图的冠状积上的闭式表达式。
英文摘要
We introduce the Domination Reciprocal Mean Square index \(DRMS\), a new domination-degree-based topological index obtained by replacing the ordinary degree in the reciprocal mean square index with the domination degree. We establish elementary bounds in terms of graph size and extremal domination degrees, derive a one-parameter family of sharp lower bounds via the power mean, and obtain sharp bounds in terms of several well-known domination-degree-based indices, with a full characterization of the equality cases. We also compute closed-form expressions for \(DRMS\) on several standard graph families and for the corona product of two graphs.
