By John Hopcroft, Robert Tarjan
Communications of the ACM,
June 1973,
Vol. 16 No. 6, Pages 372-378
10.1145/362248.362272
Comments
Efficient algorithms are presented for partitioning a graph into connected components, biconnected components and simple paths. The algorithm for partitioning of a graph into simple paths of iterative and each iteration produces a new path between two vertices already on paths. (The start vertex can be specified dynamically.) If V is the number of vertices and E is the number of edges, each algorithm requires time and space proportional to max (V, E) when executed on a random access computer.
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