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Let D be a finite simple digraph with vertex set V (D) and arc set A(D). A twin signed Roman dominating function (TSRDF) on the digraph D is a function f : consists of v and all in-neighbors (resp. out-neighbors) of v, and (ii) every vertex u for which f (u) = −1 has an in-neighbor v and an out-neighbor w for which The twin signed Roman domination number γ * sR (D) of D is the minimum weight of an TSRDF on D. In this paper, we initiate the study of twin signed Roman domination in digraphs anddoi:10.5556/j.tkjm.47.2016.2035 fatcat:3fss63b2zbdlfkm4iu7gwy7qsm