RBGL (version 1.48.1)

bellman.ford.sp: Bellman-Ford shortest paths using boost C++

Description

Algorithm for the single-source shortest paths problem for a graph with both positive and negative edge weights.

Usage

bellman.ford.sp(g,start=nodes(g)[1])

Arguments

g

instance of class graph

start

character: node name for start of path

Value

A list with elements:

all edges minimized

true if all edges are minimized, false otherwise.

distance

The vector of distances from start to each node of g; includes Inf when there is no path from start.

penult

A vector of indices (in nodes(g)) of predecessors corresponding to each node on the path from that node back to start

. For example, if the element one of this vector has value 10, that means that the predecessor of node 1 is node 10. The next predecessor is found by examining penult[10].

start

The start node that was supplied in the call to bellman.ford.sp.

Details

This function interfaces to the Boost graph library C++ routines for Bellman-Ford shortest paths. Choose the appropriate algorithm to calculate the shortest path carefully based on the properties of the given graph. See documentation on Bellman-Ford algorithm in Boost Graph Library for more details.

References

Boost Graph Library ( www.boost.org/libs/graph/doc/index.html )

The Boost Graph Library: User Guide and Reference Manual; by Jeremy G. Siek, Lie-Quan Lee, and Andrew Lumsdaine; (Addison-Wesley, Pearson Education Inc., 2002), xxiv+321pp. ISBN 0-201-72914-8

See Also

dag.sp, dijkstra.sp, johnson.all.pairs.sp, sp.between

Examples

con <- file(system.file("XML/conn2.gxl",package="RBGL"), open="r")
dd <- fromGXL(con)
close(con)
bellman.ford.sp(dd)
bellman.ford.sp(dd,nodes(dd)[2])