Some properties of the closed global shadow graphs and their zero forcing number

被引:0
|
作者
Raksha, M. R. [1 ]
Dominic, Charles [1 ]
机构
[1] CHRIST Deemed Univ, Dept Math, Bangalore 560029, Karnataka, India
关键词
zero forcing number; zero forcing set; closed global shadow graph; open global shadow graph; MINIMUM RANK; DOMINATION;
D O I
10.2478/ausi-2022-0009
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Zero forcing is one of the dynamic vertex coloring problem. Zero forcing number is the minimum cardinality of the zero forcing sets. This parameter is the upper bound for the maximum nullity. A new class of graph where the maximum nullity is equal to the zero forcing number of the graph is defined as closed global shadow graph. Basic properties and zero forcing number of this graph class is analysed.
引用
收藏
页码:137 / 154
页数:18
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