Definition: Find all simple paths from a starting vertex (source) to a destination vertex (sink) in a directed graph. In an undirected graph, find all simple paths between two vertices.
See also all pairs shortest path.
Note: The paths may be enumerated with a depth-first search. The search can avoid repeating vertices by marking them as they are visited in the recursion, then removing the mark just before returning from the recursive call.
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Entry modified 2 September 2008.
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Cite this as:
Paul E. Black, "all simple paths", in Dictionary of Algorithms and Data Structures [online], Vreda Pieterse and Paul E. Black, eds. 2 September 2008. (accessed TODAY) Available from: https://www.nist.gov/dads/HTML/allSimplePaths.html