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

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 a...

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Bibliographic Details
Main Authors: Raksha M. R., Dominic Charles
Format: Article
Language:English
Published: Sciendo 2022-08-01
Series:Acta Universitatis Sapientiae: Informatica
Subjects:
Online Access:https://doi.org/10.2478/ausi-2022-0009
Description
Summary: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.
ISSN:2066-7760