Upper Bounds on the Total Domination Number

نویسندگان

  • Teresa W. Haynes
  • Michael A. Henning
چکیده

A total dominating set of a graph G with no isolated vertex is a set S of vertices of G such that every vertex is adjacent to a vertex in S. The total domination number of G is the minimum cardinality of a total dominating set in G. In this paper, we present several upper bounds on the total domination number in terms of the minimum degree, diameter, girth and order.

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عنوان ژورنال:
  • Ars Comb.

دوره 91  شماره 

صفحات  -

تاریخ انتشار 2009