A note on total reinforcement in graphs

In this note we prove a conjecture and improve some results presented in a recent paper of Sridharan et al. [N. Sridharan, M.D. Elias, V.S.A. Subramanian, Total reinforcement number of a graph, AKCE Int. J. Graphs Comb. 4 (2) (2007) 197–202].