An Efficient Planarity Algorithm

摘要

An efficient algorithm is presented for determining whether a graph G can be embedded in the plane. Depth-first search, or backtracking, is the most important of the techniques used by the algorithm. If G has V vertices, the algorithm requires O(V) space and O(V) time when implemented on a tandom access computer. An implementation on the Stanford IBM 360/67 successfully analyzed graphs with as many as 900 vertices in less than 12 seconds. (Author)