论文标题
关于罗马统治的概括与更多的军团
On a generalization of Roman domination with more legions
论文作者
论文摘要
在本说明中，我们将（完美的）罗马和意大利统治的概念推广到（完美）强大的罗马和罗马k-义法，以任意积极整数k。这些概括涵盖了以前的一些。在对其统治数量进行了比较之后，作为对这些概念的首次研究，我们研究了（完美，坚固，完美的）罗马k-统治数量的完整两分图数。
In this note, we generalize the concepts of (perfect) Roman and Italian dominations to (perfect) strong Roman and Roman k-domination for arbitrary positive integer k. These generalizations cover some of previous ones. After some comparison of their domination numbers, as a first study of these concepts, we study the (perfect, strong, perfect strong) Roman k-domination numbers of complete bipartite graphs.
