An inequality chain of domination parameters for trees

نویسندگان

  • Ernest J. Cockayne
  • Odile Favaron
  • Christina M. Mynhardt
  • Joël Puech
چکیده

We prove that the smallest cardinality of a maximal packing in any tree is at most the cardinality of an R-annihilated set. As a corollary to this result we point out that a set of parameters of trees involving packing, perfect neighbourhood, R-annihilated, irredundant and dominating sets is totally ordered. The class of trees for which all these parameters are equal is described and we give an example of a tree in which most of them are distinct.

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عنوان ژورنال:
  • Discussiones Mathematicae Graph Theory

دوره 18  شماره 

صفحات  -

تاریخ انتشار 1998