# bellman.ford.sp

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##### Bellman-Ford shortest paths using boost C++

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

Keywords
graphs
##### Usage
bellman.ford.sp(g,start=nodes(g)[1])
##### Arguments
g
instance of class graph
start
character: node name for start of path
##### 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.

##### 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.

##### 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

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

##### Aliases
• bellman.ford.sp
##### 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])

Documentation reproduced from package RBGL, version 1.48.1, License: Artistic-2.0

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