Global Accurate Power Domination in Graphs
Year: 2025
Type: article
Abstract: dominating set of cardinality |D|. If D is an accurate dominating set of a graph G then it is said to be global accurate dominating set, if D is also an accurate dominating set of. A dominating set D is a power dominating set of a graph G if it monitors all vertices and edges in G. The parameter (G) is the power domination number which is the smallest size of a power dominating set in G. The parameter (G) is the global accurate power domination number which is the minimum cardinality of a global accurate power dominating set. In this paper, some bounds for (G) are obtained and exact values of (G) for some standard graphs are found, also a Nordhaus-Gaddum type result is established.
Author: Journal of Dynamics and Control
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7081942223
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