[1, 2]-sets in Graphs

نویسندگان

  • Mustapha Chellali
  • Teresa W. Haynes
  • Stephen T. Hedetniemi
  • Alice A. McRae
چکیده

A subset S ⊆ V in a graph G = (V,E) is a [1, 2]-set if for every vertex v ∈ V \ S, 1 ≤ |N(v)∩ S| ≤ 2, that is, every vertex v ∈ V \ S is adjacent to at least one but not more than two vertices in S. In this paper we relate the concept of [1, 2]-sets to a host of other concepts in domination theory, including perfect domination, efficient domination, nearly perfect sets, 2-packings and k-dependent sets.

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عنوان ژورنال:
  • Discrete Applied Mathematics

دوره 161  شماره 

صفحات  -

تاریخ انتشار 2013