bellman_ford

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.

Licensing:

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

Languages:

bellman_ford 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_test

dijkstra, a MATLAB code which implements a simple version of Dijkstra's minimum distance algorithm for graphs.

floyd, a MATLAB code which implements Floyd's algorithm for finding the shortest distance between pairs of nodes on a directed graph.

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. Richard Bellman,
   On a routing problem,
   Quarterly of Applied Mathematics,
   Volume 16, 1958, pages 87-90.
2. Lester Ford,
   Network Flow Theory,
   RAND Corporation Paper P-923, 1956.

Source Code:

• bellman_ford.m, finds shortest paths from a given vertex of a weighted directed graph.
• i4mat_transpose_print.m, prints an I4MAT, transposed.
• i4mat_transpose_print_some.m, prints some of an I4MAT, transposed.
• i4vec_print.m, prints an I4VEC.
• r8vec_print.m, prints an R8VEC.