A Note on the Domination Number of Triangulations. Issue 2 (11th August 2014)

• Record Type: Journal Article
• Authors: Furuya, Michitaka; Matsumoto, Naoki
• Is Part Of: Journal of graph theory. Volume 79:Issue 2(2015)
• Page Start: 83
• Page End: 85
• Publication Date: 2014-08-11
• Subjects: Graph theory -- Periodicals; 511
• DOI: 10.1002/jgt.21818
• Languages: English
• ISSNs: 0364-9024

Abstract

<abstract abstract-type="main"> <title>Abstract</title> <p>In this note, we prove that every triangulation <italic>G</italic> on any closed surface has domination number at most <inline-formula><alternatives><inline-graphic mimetype="image" xlink:href="ark:/27927/pgjg4sf8v3" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /><mml:math display="inline" altimg="urn:x-wiley:03649024:media:jgt21818:jgt21818-math-0001" overflow="scroll" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mfrac><mml:mrow><mml:mo>|</mml:mo><mml:mi>G</mml:mi><mml:mo>|</mml:mo></mml:mrow><mml:mn>3</mml:mn></mml:mfrac></mml:math></alternatives></inline-formula>. This unifies some results on the domination number of a triangulation on a closed surface.</p> </abstract>