Global Accurate Power Domination in Graphs

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.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-09-15
DOI
https://doi.org/10.5281/zenodo.17130188
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
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article

Global Accurate Power Domination in Graphs

Zenodo (CERN European Organization for Nuclear Research)
Geochemistry and Geologic Mapping
article

Global Accurate Power Domination in Graphs

article en

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.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 38%
Geochemistry and Geologic Mapping
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