Characterization of total restrained domination edge critical unicyclic graphs.
Nader Jafari Rad · Australas. J Comb. · 2010
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.