Journal of Graph Algorithms and Applications
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Advances in Graph Drawing. Special Issue on Selected Papers from the Ninth International Symposium on Graph Drawing, GD 2001
On Cotree-Critical and DFS Cotree-Critical Graphs
Vol. 7, no. 4, pp. 411-427, 2003. Regular paper.
Abstract We give a characterization of DFS cotree-critical graphs which is central to the linear time Kuratowski finding algorithm implemented in PIGALE (Public Implementation of a Graph Algorithm Library and Editor ) by the authors, and deduce a justification of a very simple algorithm for finding a Kuratowski subdivision in a DFS cotree-critical graph.