Longest Path in a Graph: Difference between revisions

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=Overview=
=Overview=
The longest path problem is an NP-Hard problem for general graphs. However, the longest path can be computed on O(n) time for directed acyclic graphs.
The longest path problem is an NP-Hard problem for general graphs. However, the longest path can be computed on O(n) time for directed acyclic graphs.
=Longest Path in a Directed Acyclic Graph=
Topologically sort the directed acyclic graph:
{{Internal|Topological_Sort_of_a_Directed_Acyclic_Graph#Overview|Topological Sort of a Directed Acyclic Graph}}
Then <font color=darkkhaki>TODO: https://www.geeksforgeeks.org/find-longest-path-directed-acyclic-graph</font>.

Latest revision as of 04:45, 9 November 2021

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Internal

Overview

The longest path problem is an NP-Hard problem for general graphs. However, the longest path can be computed on O(n) time for directed acyclic graphs.

Longest Path in a Directed Acyclic Graph

Topologically sort the directed acyclic graph:

Topological Sort of a Directed Acyclic Graph

Then TODO: https://www.geeksforgeeks.org/find-longest-path-directed-acyclic-graph.