论文标题
广义债券编号：$ k $ - 同步债券的图
Generalized Bondage Number: The $k$-synchronous bondage number of a graph
论文作者
论文摘要
我们研究了称为\ textIt {$ k \，$ - 同步债券编号}的图形的束缚号的概括。 $ k \，$ - 图的同步债券数量是最小的边数，当删除时，将主导数量增加到$ k $。在本文中，我们讨论了2个同步束缚编号，然后将其推广到$ k \，$ - 同步债券编号。我们提出$ k \，$ - 几个图类类的同步债券编号，并为常规图提供界限。我们将此特征作为简单图的连接性的指标，并在网络设计和优化领域中可能使用。
We investigate a generalization of the bondage number of a graph called the \textit{$k\,$-synchronous bondage number}. The $k\,$-synchronous bondage number of a graph is the smallest number of edges that, when removed, increases the dominating number by $k$. In this paper, we discuss the 2-synchronous bondage number and then generalize to $k\,$-synchronous bondage number. We present $k\,$-synchronous bondage number for several graph classes and give bounds for general graphs. We propose this characteristic as a metric of the connectivity of a simple graph with possible uses in the field of network design and optimization.
