Definition: Find the longest path from any source to any sinks in a directed acyclic graph which has weights, or numeric values, on vertices.
Note: This can be solved with a variant of the DAG shortest paths algorithm by assigning an initial distance of negative infinity (-∞), updating the distance and predecessor if dist(v) + weight(u) > dist(u), and recording the greatest distance found so far.
If you have suggestions, corrections, or comments, please get in touch with Paul Black.
Entry modified 19 April 2004.
HTML page formatted Fri Feb 23 10:06:07 2018.
Cite this as:
Paul E. Black, "critical path problem", in Dictionary of Algorithms and Data Structures [online], Vreda Pieterse and Paul E. Black, eds. 19 April 2004. (accessed TODAY) Available from: https://www.nist.gov/dads/HTML/criticalPath.html