山西大学学报（自然科学版）2026，Vol.49Issue(1)：64-70,7.DOI:10.13451/j.sxu.ns.2024016
全局意大利控制数较大的图的刻画
Characterization of Graphs with Large Global Italian Domination Numbers
摘要
Abstract
This paper studies the problems of global Italian domination in graphs.By analyzing the structure of graphs and using the method of categorical discussion,all connected graphs with global Italian domination number equal to the number of vertices are characterized.On this basis,all connected graphs of diameter no less than 3 with global Italian domination number equal to the num-ber of vertices minus one are further characterized.关键词
意大利控制/全局意大利控制/连通图Key words
Italian domination/global Italian domination/connected graph分类
数理科学引用本文复制引用
郝国亮,吴愉琪,谢智红,姜海宁..全局意大利控制数较大的图的刻画[J].山西大学学报（自然科学版）,2026,49(1):64-70,7.基金项目
国家自然科学基金(12061007) （12061007）
菏泽学院博士基金(XY23BS12 （）
XY23BS48) （）
