平面グラフは、エッジが交差することなく、平面（紙など）に描画できるグラフです。平面グラフは、エッジが交差することなく、それ自体が重複しないように平面に描かれたグラフです。簡単に言えば、両方の用語は、エッジ間の交差点なしで平らな表面で表すことができるグラフを指します。
A planar graph is a graph that can be drawn on a plane (such as a piece of paper) without any of its edges crossing. A plane graph is a graph that has been drawn on a plane in such a way that it does not overlap itself, with no edges crossing. In simple words, both terms refer to a graph that can be represented on a flat surface without any intersections between its edges.