A Note on the Domination Number of Triangulations

In this note, we prove that every triangulation G on any closed surface has domination number at most |G|3. This unifies some results on the domination number of a triangulation on a closed surface.

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Veröffentlicht in:Journal of graph theory 2015-06, Vol.79 (2), p.83-85
Hauptverfasser: Furuya, Michitaka, Matsumoto, Naoki
Format: Artikel
Sprache:eng
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Zusammenfassung:In this note, we prove that every triangulation G on any closed surface has domination number at most |G|3. This unifies some results on the domination number of a triangulation on a closed surface.
ISSN:0364-9024
1097-0118
DOI:10.1002/jgt.21818