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The digraph $D = D(q;\\bf{f})$, where ${\\bf f}=(f_1,\\dotso,f_l) : \\mathbb{F}_q^2\\to\\mathbb{F}_q^l$, is defined as follows. The vertex set of $D$ is $\\mathbb{F}_q^{l+1}$. There is an arc from a vertex ${\\bf x} = (x_1,\\dotso,x_{l+1})$ to a vertex ${\\bf y} = (y_1,\\dotso,y_{l+1})$ if $ x_i + y_i = f_{i-1}(x_1,y_1) $ for all $i$, $2\\le i \\le l+1$. 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Let $f_i : \\mathbb{F}_q^2\\to\\mathbb{F}_q$ be arbitrary functions, where $1\\le i\\le l$, $i$ and $l$ are integers. The digraph $D = D(q;\\bf{f})$, where ${\\bf f}=(f_1,\\dotso,f_l) : \\mathbb{F}_q^2\\to\\mathbb{F}_q^l$, is defined as follows. The vertex set of $D$ is $\\mathbb{F}_q^{l+1}$. There is an arc from a vertex ${\\bf x} = (x_1,\\dotso,x_{l+1})$ to a vertex ${\\bf y} = (y_1,\\dotso,y_{l+1})$ if $ x_i + y_i = f_{i-1}(x_1,y_1) $ for all $i$, $2\\le i \\le l+1$. 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