Some recent results on domination in graphs

نویسنده

  • Michael D. Plummer
چکیده

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.

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عنوان ژورنال:
  • Discussiones Mathematicae Graph Theory

دوره 26  شماره 

صفحات  -

تاریخ انتشار 2006