# dag.sp

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##### DAG shortest paths using boost C++

Algorithm for the single-source shortest-paths problem on a weighted, directed acyclic graph (DAG)

Keywords
graphs
##### Usage
dag.sp(g,start=nodes(g)[1])
##### Arguments
g
instance of class graph
start
source node for start of paths
##### Details

These functions are interfaces to the Boost graph library C++ routines for single-source shortest-paths on a weighted directed acyclic graph. Choose appropriate shortest-path algorithms carefully based on the properties of the input graph. See documentation in Boost Graph Library for more details.

##### Value

A list with elements:
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 dag.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

bellman.ford.sp, dijkstra.sp, johnson.all.pairs.sp, sp.between

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

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

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