The diameter of total domination and independent domination vertex-critical graphs

نویسندگان

  • Michelle Edwards
  • Gary MacGillivray
چکیده

We show that the diameter of a total domination vertex-critical graph is at most 5(γt −1)/3, and that the diameter of an independent domination vertex-critical graph is at most 2(i− 1). For all values of γt ≡ 2 (mod 3) there exists a total domination vertex-critical graph with the maximum possible diameter. For all values of i ≥ 2 there exists an independent domination vertex-critical graph with the maximum possible diameter.

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عنوان ژورنال:
  • Australasian J. Combinatorics

دوره 52  شماره 

صفحات  -

تاریخ انتشار 2012