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https://issues.apache.org/jira/browse/CALCITE-4049?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=17134589#comment-17134589
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Xiening Dai commented on CALCITE-4049:
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After looking it deeper, I feel the shorted path might not needed at all. 

Right now, the getShortestPath() is used only by 
ConventionTraitDef.canConvert(). [1] But actually in 
ConventionTraitDef.convert(), it doesn't use the shortest path for conversion, 
instead it gets all possible paths and enumerate them one by one. [2] So it 
looks to me that the shortest path is not used at all. And even though the 
comment of Graph#getPaths() says it returns shortest path first, but actually 
it uses a DFS to find the path, and doesn't grantee shortest first today. So I 
believe the getShortedPath() can be removed.

[1] 
https://github.com/apache/calcite/blob/52a57078ba081b24b9d086ed363c715485d1a519/core/src/main/java/org/apache/calcite/plan/ConventionTraitDef.java#L200
[2] 
https://github.com/apache/calcite/blob/52a57078ba081b24b9d086ed363c715485d1a519/core/src/main/java/org/apache/calcite/plan/ConventionTraitDef.java#L139

> Reduce the time complexity of getting shortest distances
> --------------------------------------------------------
>
>                 Key: CALCITE-4049
>                 URL: https://issues.apache.org/jira/browse/CALCITE-4049
>             Project: Calcite
>          Issue Type: Improvement
>          Components: core
>            Reporter: Liya Fan
>            Assignee: Liya Fan
>            Priority: Major
>             Fix For: 1.24.0
>
>          Time Spent: 1h 20m
>  Remaining Estimate: 0h
>
> Currently, we have {{Graphs#makeImmutable}} to compute the shortest paths 
> between all pairs of nodes. For many scenarios, however, we do not need the 
> exact paths between nodes. Instead, we are only interested in the lengths of 
> the shortest paths. 
> To get the path length, we need to get the shortest path first, which is 
> returned as a {{List}}, then we call the {{List#size()}} method. According to 
> the current implementation, the returned list is of type {{ConsList}}. The 
> time complexity of {{ConsList#size}} is O(p) (p is the number of vertices on 
> the path), which is inefficient. 
> In this issue, we revise the implementation of {{ConsList#size}} so that it 
> takes O(1) time. In addition, we also give a utiltiy to get the shortest 
> distances between nodes. 



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