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AcyclicSP Class

The AcyclicSP class represents a data type for solving the single-source shortest paths problem in edge-weighted directed acyclic graphs (DAGs). The edge weights can be positive, negative, or zero.

This implementation uses a topological-sort based algorithm. The constructor takes time proportional to V + E, where V is the number of vertices and E is the number of edges. Afterwards, the DistTo() and HasPathTo() methods take constant time and the PathTo() method takes time proportional to the number of edges in the shortest path returned.

Inheritance Hierarchy
SystemObject
  Algs4NetAcyclicSP

Namespace: Algs4Net
Assembly: Algs4Net (in Algs4Net.dll) Version: 1.0.0.0 (1.0.0.0)
Syntax
C#
public class AcyclicSP

The AcyclicSP type exposes the following members.

Constructors
  NameDescription
Public methodAcyclicSP
Computes a shortest paths tree from s to every other vertex in the directed acyclic graph G.
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Methods
  NameDescription
Public methodDistTo
Returns the length of a shortest path from the source vertex s to vertex v.
Public methodHasPathTo
Is there a path from the source vertex s to vertex v?
Public methodStatic memberMainTest
Demo test the AcyclicSP data type.
Public methodPathTo
Returns a shortest path from the source vertex s to vertex v.
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Remarks

For additional documentation, see Section 4.4 of Algorithms, 4th Edition by Robert Sedgewick and Kevin Wayne.

This class is a C# port from the original Java class AcyclicSP implementation by the respective authors.

See Also