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From "Andra Lungu (JIRA)" <j...@apache.org>
Subject [jira] [Created] (FLINK-2926) Add a Strongly Connected Components Library Method
Date Tue, 27 Oct 2015 13:19:27 GMT
Andra Lungu created FLINK-2926:

             Summary: Add a Strongly Connected Components Library Method
                 Key: FLINK-2926
                 URL: https://issues.apache.org/jira/browse/FLINK-2926
             Project: Flink
          Issue Type: Task
          Components: Gelly
    Affects Versions: 0.10
            Reporter: Andra Lungu
            Priority: Minor

This algorithm operates in four main steps: 

1). Form the transposed graph (each vertex sends its id to its out neighbors which form a
transposedNeighbors set)
2). Trimming: every vertex which has only incoming or outgoing edges sets colorID to its own
value and becomes inactive. 
3). Forward traversal: 
                   Start phase: propagate id to out neighbors 
                   Rest phase: update the colorID with the minimum value seen until convergence
4). Backward traversal: 
                     Start: if the vertex id is equal to its color id propagate the value
to transposedNeighbors
                     Rest: each vertex that receives a message equal to its colorId will propagate
its colorId to the transposed graph and becomes inactive. 

More info in section 3.1 of this paper: http://ilpubs.stanford.edu:8090/1077/3/p535-salihoglu.pdf
or in section 6 of this paper: http://www.vldb.org/pvldb/vol7/p1821-yan.pdf  

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