Some recent results on domination in graphs

Michael D. Plummer

Discussiones Mathematicae Graph Theory, Tome 26 (2006), p. 457-474 / Harvested from The Polish Digital Mathematics Library

Résumé

In this paper, we survey some new results in four areas of domination in graphs, namely: (1) the toughness and matching structure of graphs having domination number 3 and which are "critical" in the sense that if one adds any missing edge, the domination number falls to 2; (2) the matching structure of graphs having domination number 3 and which are "critical" in the sense that if one deletes any vertex, the domination number falls to 2; (3) upper bounds on the domination number of cubic graphs; and (4) upper bounds on the domination number of graphs embedded in surfaces.

Détail

Publié le : 2006-01-01

Zbl 1145.05044

EUDML-ID : urn:eudml:doc:270200

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