Influence of edge subdivision on the convex domination number

نویسندگان

  • Magda Dettlaff
  • Magdalena Lemanska
چکیده

We study the influence of edge subdivision on the convex domination number. We show that in general an edge subdivision can arbitrarily increase and arbitrarily decrease the convex domination number. We also find some bounds for unicyclic graphs and we investigate graphs G for which the convex domination number changes after subdivision of any edge in G.

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عنوان ژورنال:
  • Australasian J. Combinatorics

دوره 53  شماره 

صفحات  -

تاریخ انتشار 2012