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Let $G^\sigma$ be an orientation of a simple graph $G$. In this paper, thepermanental polynomial of an oriented graph $G^\sigma$ is introduced. Thecoefficients of the permanental polynomial of $G^\sigma$ are interpreted interms of the graph structure of $G^\sigma$, and it is proved that allorientations $G^\sigma$ of $G$ have the same permanental polynomial if and onlyif $G$ has no even cycles. Furthermore, the roots of the permanental polynomialof $G^\sigma$ are studied.

Permanental polynomials of skew adjacency matrices of oriented graphs