floyd

floyd, a Python 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 and a Python version.

Related Data and Programs:

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

dijkstra, a Python 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

toms097, a Python 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:

• floyd.py the source code.
• floyd.sh runs all the tests.
• floyd.txt the output file.

• floyd_test03.png, a PNG image of the contour plot of the distance from one node to all others.