DAG Longest Path: Difference between revisions

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The input must be a directed acyclic graph (DAG).
 
 
Each node gets the length of the longest directed path from any source in the directed acyclic graph (DAG).
A source in DAG is a node which has only outgoing links.
A source in DAG is a node which has only outgoing links.
Each node gets the length of the longest directed path from any source in the DAG.
 
If the graph has cycles, each strongly connected component is aggregated to one vertex which results in a DAG.
Each vertex gets the longest directed path from any strongly connected component which has not incoming edges from any other strongly connected component.

Revision as of 08:14, 7 August 2015


Each node gets the length of the longest directed path from any source in the directed acyclic graph (DAG). A source in DAG is a node which has only outgoing links.

If the graph has cycles, each strongly connected component is aggregated to one vertex which results in a DAG. Each vertex gets the longest directed path from any strongly connected component which has not incoming edges from any other strongly connected component.