广义有向de Bruijn图罗马控制数的一个注记A Note on the Roman Domination Number in Generalized De Bruijn Digraphs
郭亚丽,张新鸿
摘要(Abstract)：
在有向图D中，如果一个函数f:V(D)→{0,1,2}且满足条件每个函数值为0的顶点u都有一个函数值为2的内邻点v,那么称f是有向图D的一个罗马控制函数(RDF).罗马控制函数f的权重值表示为ω(f)=∑_(v∈V)f(v).定义罗马控制数是有向图D中一个RDF的最小权重，记作γ_R(D)主要研究一些特殊广义de Bruijn有向图的罗马控制数。
关键词(KeyWords)： 广义de Bruijn有向图;罗马控制;罗马控制数
基金项目(Foundation): 山西省基础研究计划(20210302123202)
作者(Author): 郭亚丽,张新鸿
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