#18938: Refactor shortest paths
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Reporter: borassi | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-6.8
Component: graph theory | Resolution:
Keywords: Shortest path, eccentricity, | Merged in:
Dijkstra | Reviewers:
Authors: Michele Borassi | Work issues:
Report Upstream: N/A | Commit:
Branch: | Stopgaps:
Dependencies: |
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Changes (by {'newvalue': u'Michele Borassi', 'oldvalue': ''}):
* author: => Michele Borassi
* cc: ncohen, dcoudert (added)
* component: PLEASE CHANGE => graph theory
* keywords: => Shortest path, eccentricity, Dijkstra
* type: PLEASE CHANGE => defect
Old description:
New description:
At the moment, there are several methods that compute shortest paths.
However, there is no standard for inputs and outputs of these methods:
* some of them only work with unweighted graphs (distance_all_pairs(),
distances_distribution(), eccentricity());
* some of them use default_weight (shortest_path_all_pairs), while others
do not check weights (shortest_paths)
* some of them output paths, while others output predecessors
(shortest_path_all_pairs).
The goal of this ticket is to standardize all these behaviors, and to make
all routines work also with weighted graphs. The schema of the routine
calls I would like to implement is attached (some calls are already
present).
As a next step, we will include some Boost shortest path algorithms
(Bellman-Ford, Johnson), with ticket !#18931.
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Ticket URL: <http://trac.sagemath.org/ticket/18938#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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