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A signed total Roman dominating function (STRD function) on a graph $G=(V,E)$ is a function $f: V \\to \\{-1,1,2\\}$ such that (i) $\\sum_{u \\in N(v)} f(u) \\geq 1$ for all $v \\in V$, where $N(v)$ denotes the neighborhood of $v$, and (ii) every vertex $v$ with $f(v) = -1$ is adjacent to a vertex $u$ with $f(u) = 2$. The weight of $f$ is $\\sum_{v \\in V} f(v)$. The signed total Roman domination number of $G$ is the minimum weight among all its STRD functions. 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