In graph theory, a planar graph is a graph that can be embedded in the plane, i.e., it can be drawn on the plane in such a way that its edges intersect only at their endpoints. In other words, it can be drawn in such a way that no edges cross each other.

2024年3月18日 · A planar graph is a graph that can be drawn on a plane such that its edges intersect only at their end nodes. A plane graph is a graph whose edges don’t intersect. So, we call a graph planar if we can draw it as a plane graph.

When a connected graph can be drawn without any edges crossing, it is called planar. When a planar graph is drawn in this way, it divides the plane into regions called faces. Draw, if possible, two different planar graphs with the same number of vertices, edges, and faces.

Planar Graphs and Plane Graphs If a graph Gis embeddable on the plane (or the sphere), Gis called a planar graph; otherwise Gis called a non-planar graph. If Gis a planar graph,...

When a connected graph can be drawn without any edges crossing, it is called planar. When a planar graph is drawn in this way, it divides the plane into regions called faces. Draw, if possible, two different planar graphs with the same number of vertices, edges, and faces.

1 Plane andPlanar Graphs Definition 1 A graph G(V,E) is called plane if • V is a set of points in the plane; • E is a set of curves in the plane such that 1. every curve contains at most two vertices and these vertices are the ends of the curve; 2. the intersection of every two curves is either empty, or one, or two vertices of the graph ...

2022年10月21日 · The graph on the left is a graph that currently has edge crossings. But, if we redraw the graph, so the edges no longer cross, as depicted by the graph on the right, it is called a plane graph because we have shown the original graph to be planar.