Combinatorial bounds on connectivity for dominating sets in maximal outerplanar graphs

نویسندگان

  • Santiago Canales
  • Irene Castro
  • Gregorio Hernández-Peñalver
  • Ana Mafalda Martins
چکیده

In this article we study some variants of the domination concept attending to the connectivity of the subgraph generated by the dominant set. This study is restricted to maximal outerplanar graphs. We establish tight combinatorial bounds for connected domination, semitotal domination, independent domination and weakly connected domination for any n-vertex maximal outerplaner graph.

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عنوان ژورنال:
  • Electronic Notes in Discrete Mathematics

دوره 54  شماره 

صفحات  -

تاریخ انتشار 2016