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Paper   IPM / M / 11322
School of Mathematics
  Title:   Characterization of total restrained domination edge critical unicyclic graphs
  Author(s):  N. Jafari Rad
  Status:   Published
  Journal: Australas. J. Combin.
  Vol.:  47
  Year:  2010
  Pages:   77-82
  Supported by:  IPM
  Abstract:
A graph with no isolated vertices is edge critical with respect to total restrained domination if for any non-edge e of G, the total restrained domination number of G+e is less than the total restrained domination number of G. We call these graphs γtr-edge critical. In this paper, we characterize all γtr-edge critical unicyclic graphs.

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