Characterization of cubic graphs G with irt(G)=IRt(G)=2

نویسندگان

  • Changiz Eslahchi
  • Shahab Haghi
  • Nader Jafari Rad
چکیده

A subset S of vertices in a graph G is called a total irredundant set if, for each vertex v in G, v or one of its neighbors has no neighbor in S − {v}. The total irredundance number, ir(G), is the minimum cardinality of a maximal total irredundant set of G, while the upper total irredundance number, IR(G), is the maximum cardinality of a such set. In this paper we characterize all cubic graphs G with irt(G) = IRt(G) = 2.

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عنوان ژورنال:
  • Discussiones Mathematicae Graph Theory

دوره 34  شماره 

صفحات  -

تاریخ انتشار 2014