The Algorithm Design Manual
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Programming Challenges

The Stony Brook Algorithm Repository

Steven Skiena
Stony Brook University
Dept. of Computer Science

1.4.4 Shortest Path

Problem Input | Problem Output

INPUT                    OUTPUT


Input Description: An edge-weighted graph G, with start vertex s and end vertex t.

Problem: Find the shortest path from s to t in G.

Excerpt from The Algorithm Design Manual: The problem of finding shortest paths in a graph has a surprising variety of applications:


Implementations

  • Goldberg's Network Optimization Codes (C) (rating 10)
  • Boost: C++ Libraries (C++) (rating 9)
  • JGraphT: Java graph library (Java) (rating 9)
  • RAPID - Robust and Accurate Polygon Interface detection (C,FORTRAN) (rating 8)
  • LEDA - A Library of Efficient Data Types and Algorithms (C++) (rating 7)
  • Discrete Optimization Methods (Pascal) (rating 4)

  • Recommended Books

    The Boost Graph Library: user guide and reference manual by J. Siek and L. Lee and A. Lumsdaine Network Flows : Theory, Algorithms, and Applications by Ravindra K. Ahuja, Thomas L. Magnanti, and James B. Orlin

    Related Links

  • 9th DIMACS Implementation Challenge: Shortest Paths

    Related Problems


      
    Connected Components
      
    Graph Isomorphism
      
    Matrix Multiplication
      
    Motion Planning
      
    Network Flow
      
    Priority Queues
      
    Steiner Tree
      
    Transitive Closure and Reduction



    This page last modified on 2008-07-10 .
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