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
- 0.00