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From "Mohit Daga (JIRA)" <j...@apache.org>
Subject [jira] [Commented] (GIRAPH-1135) Implementing Minimum Spanning Tree in vertex-centric model
Date Fri, 10 Mar 2017 04:34:38 GMT

    [ https://issues.apache.org/jira/browse/GIRAPH-1135?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=15904423#comment-15904423
] 

Mohit Daga commented on GIRAPH-1135:
------------------------------------

Hi [~cmartella] 

Thanks for creating the Jira. 

MST in Log-Star Rounds is the current state of the art given by theory community. 

I will work towards creating a proposal for this task as part of Google Summer of Code.

Mohit

> Implementing Minimum Spanning Tree in vertex-centric model
> ----------------------------------------------------------
>
>                 Key: GIRAPH-1135
>                 URL: https://issues.apache.org/jira/browse/GIRAPH-1135
>             Project: Giraph
>          Issue Type: Improvement
>          Components: examples
>            Reporter: Claudio Martella
>            Assignee: Alessio Arleo
>              Labels: gsoc2017
>
> A Minimum Spanning Tree is a tree that spans all the vertices of a connected graph such
that the sum of the weights is minimum among all possible such trees. Finding Minimum Spanning
Tree on a large graph has many applications. MST algorithm is one of the basic graph algorithms.
 Currently, Giraph has an implementation of Page Rank algorithm as part of its source code.
An implementation of MST algorithm will strengthen our use cases.
> Recently Mohsen Ghaffari et al. have shown that MST can be calculated in O(log* n) rounds
of communications in Congested Clique model [1]. Congested Clique have been shown to be the
impromptu distributed algorithmic model which has direct relations with Pregel. We can try
to implement the paradigm in Giraph.
> [1] MST in Log-Star Rounds of Congested Clique :- http://dl.acm.org/citation.cfm?id=2933103



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