论文标题

计算完整的Mary树中的功率支配集

Counting Power Domination Sets in Complete m-ary Trees

论文作者

Kniahnitskaya, Sviatlana, Ortiz, Michele, Ramirez, Olivia, Shultis, Katharine, Whitlatch, Hays

论文摘要

通过按照统一的随机放置K监测器的概率的问题,在本文中,我们给出了一个递归公式,以计算标记为完整的M-Ary树中大小K的功率支配次数。作为推论,我们表明可以使用线性指数时间以指数计算所需的概率。

Motivated by the question of computing the probability of successful power domination by placing k monitors uniformly at random, in this paper we give a recursive formula to count the number of power domination sets of size k in a labeled complete m-ary tree. As a corollary we show that the desired probability can be computed in exponential with linear exponent time.

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