Total restrained reinforcement in graphs
Nader Jafari Rad, Lutz Volkmann · AKCE International Journal of Graphs and Combinatorics · 2016
In this paper we initiate the study of total restrained reinforcement in graphs. The total restrained reinforcement number in a graph with no isolated vertex, is the minimum number of edges that have to be added to so that the resulting graph has total restrained domination number less than total restrained domination number of . We obtain sharp bounds, exact values and characterization for the total restrained reinforcement number of a graph.