[jira] [Created] (FLINK-4965) AllPairsShortestPaths

[Shang Yuanchun (Jira)]

Greg Hogan created FLINK-4965:
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             Summary: AllPairsShortestPaths
                 Key: FLINK-4965
                 URL: https://issues.apache.org/jira/browse/FLINK-4965
             Project: Flink
          Issue Type: New Feature
          Components: Gelly
    Affects Versions: 1.2.0
            Reporter: Greg Hogan
            Assignee: Greg Hogan


Add a Gelly implementation of {{AllPairsShortestPaths}} to complement the existing {{SingleSourceShortestPaths}}.

Flink algorithms excel at processing big, sparse data. APSP is big, really big, but not at all sparse. Considering only undirected graphs, each component of size {{n}} will have {{n choose 2}} shortest paths (1,000 vertices => ~million paths, 1,000,000 vertices => ~trillion shortest paths).

Considerations are directed vs undirected and weighted vs unweighted graphs. The actual shortest path (not merely the distance) is required for follow-on algorithms such as betweenness centrality.



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