floyd


floyd, a MATLAB code which demonstrates Floyd's algorithm for finding the shortest distance between every pair of nodes in a directed graph.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Languages:

floyd is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs:

floyd_test

bellman_ford, a MATLAB code which implements the Bellman-Ford algorithm for finding the shortest distance from a given node to all other nodes in a directed graph whose edges have been assigned real-valued lengths.

cities, a MATLAB code 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 MATLAB code which runs a simple example of dijkstra's minimum distance algorithm for graphs.

graph_representation, a data directory of examples of ways of representing abstract mathematical graphs

grf, a data directory which contains a description of the grf format and some examples.

grf_io, a MATLAB code which reads and writes grf files.

subset, a MATLAB code which generates, ranks and unranks various combinatorial objects.

toms097, a MATLAB code which computes the distance between all pairs of nodes in a directed graph with weighted edges, using floyd's algorithm.

Reference:

  1. Robert Floyd,
    Algorithm 97: Shortest Path,
    Communications of the ACM,
    Volume 5, Number 6, page 345, June 1962.
  2. Michael Quinn,
    Parallel Programming in C with MPI and OpenMP,
    McGraw-Hill, 2004,
    ISBN13: 978-0071232654,
    LC: QA76.73.C15.Q55.

Source Code:


Last revised on 05 March 2022.