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DijkstraSP Class

The DijkstraSP class represents a data type for solving the single-source shortest paths problem in edge-weighted digraphs where the edge weights are nonnegative.

This implementation uses Dijkstra's algorithm with a binary heap. The constructor takes time proportional to E log V, 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
  Algs4NetDijkstraSP

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

The DijkstraSP type exposes the following members.

Constructors
  NameDescription
Public methodDijkstraSP
Computes a shortest-paths tree from the source vertex s to every other vertex in the edge-weighted digraph 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
Returns true if there is a path from the source vertex s to vertex v.
Public methodStatic memberMainTest
Demo test the DijkstraSP 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 DijkstraSP implementation by the respective authors.

See Also