一类正则n部竞赛图的罗马控制数Roman Domination Number on A Kind of Regular N-partite Tournament
代潇娜,张新鸿
摘要(Abstract):
如果有向图D中每个赋值为0的顶点至少有一个赋值为2的内邻点,则称函数f∶V(D)→{0,1,2}为D的一个罗马控制函数。有向图图D的罗马控制函数的权为所有顶点的赋值之和,罗马控制函数的最小权称为罗马控制数。该文刻画了一类正则n部竞赛图的罗马控制数。
关键词(KeyWords): 正则n部竞赛图;罗马控制函数;罗马控制数
基金项目(Foundation): 山西省基础研究计划(20210302123202);; 山西研究生教育教学改革课题(2021YJJG254)
作者(Author): 代潇娜,张新鸿
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