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Parallel ear decomposition search (EDS) and st-numbering in graphs
1986
Theoretical Computer Science
The linear time serial algorithm of Lempel et al. (1967) for testing planarity of graphs uses the linear time serial algorithm of Even and Tarjan (1976) for st-numbering. This st-numbering algorithm is based on depth-first search (DFS). A known conjecture states that DFS, which is a key technique in designing serial algorithms, is not amenable to poly-log time parallelism using 'around linearly' (or even polynomially) many processors. The first contribution of this paper is a general method for
doi:10.1016/0304-3975(86)90153-2
fatcat:y65vame6gbdebj2qkqvh6dkbsi