Before revision: Let G be a graph  embedded in the plane and let \mathcal{A be an arrangement of pseudolines intersecting the drawing of G. An aligned drawing of G and \mathcal{A is a planar polyline drawing \Gamma of G with an arrangement A of lines so that \Gamma and A are homeomorphic to G and \mathcal{A .
After revision: Let G be a graph topological embedded in the plane and let \mathcal{A be an arrangement of pseudolines intersecting the drawing of G. An aligned drawing of G and \mathcal{A is a planar polyline drawing \Gamma of G with an arrangement A of lines so that \Gamma and A are homeomorphic to G and \mathcal{A .