Journal of the ACM (JACM)
Algorithm 447: efficient algorithms for graph manipulation
Communications of the ACM
Graph Algorithms
A Characterization of DFS Cotree Critical Graphs
GD '01 Revised Papers from the 9th International Symposium on Graph Drawing
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We present a characterization of planarity based on Tremaux trees (i.e. DFS trees), from which we deduce a rather simple planarity test algorithm. We finally recall a theorem on ''cotree critical non-planar graphs'' which very much simplifies the search for a Kuratowski subdivision in a non-planar graph.