Straight Line Representations of Infinite Planar Graphs
Carsten Thomassen · Journal of the London Mathematical Society · 1977
A plane graph is a graph whose vertex set is a point set in the Euclidean plane while the edges are Jordan curves such that two different edges have at most an end point in common. A planar graph is an abstract graph isomorphic to a plane graph. Finite, planar graphs were characterized by Kuratowski [8]. Dirac and Schuster