This graph is planar ( it is important to note that we are talking about the graphs that have some limitations according to the map they are transformed from only ) : it can be drawn in the plane without crossings by placing each vertex at an arbitrarily chosen location within the region to which it corresponds , and by drawing the edges as curves that lead without crossing within each region from the vertex location to each shared boundary point of the region .
This graph is planar : it can be drawn in the plane without crossings by placing each vertex at an arbitrarily chosen location within the region to which it corresponds , and by drawing the edges as curves that lead without crossing within each region from the vertex location to each shared boundary point of the region .