TOMS097
All Pairs Shortest Distance, Floyd's Algorithm.

TOMS097 is a FORTRAN77 library which computes the distance between all pairs of nodes in a directed graph with weighted edges, using Floyd's algorithm.

Licensing:

The computer code and data files made available on this web page are distributed under the GNU LGPL license.

Languages:

TOMS097 is available in a C version and a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version and a Python version.

Related Data and Programs:

CITIES, a FORTRAN90 library which handles various problems associated with a set of "cities" on a map.

CITIES, a dataset directory which contains a number of city distance datasets.

DIJKSTRA, a FORTRAN77 program which runs a simple example of Dijkstra's minimum distance algorithm for graphs.

FLOYD, a FORTRAN77 library which implements Floyd's algorithm for finding the shortest distance between every pair of nodes in a directed graph.

Reference:

1. Robert Floyd,
   Algorithm 97: Shortest Path,
   Communications of the ACM,
   Volume 5, Number 6, page 345, June 1962.

Source Code:

• toms097.f, the source code.

Examples and Tests:

• toms097_prb.f, a sample calling program.
• toms097_prb_output.txt, the output file.

List of Routines:

• I4MAT_SHORTEST_PATH computes the shortest distance between all pairs of points.
• R8MAT_SHORTEST_PATH computes the shortest distance between all pairs of points.
• TIMESTAMP prints the current YMDHMS date as a time stamp.

You can go up one level to the FORTRAN77 source codes.