Before 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 .
After revision: Let G be a graph that is topologically 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 .