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https://issues.apache.org/jira/browse/LUCENE-10054?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=17402289#comment-17402289
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Michael Sokolov commented on LUCENE-10054:
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Thanks for looking into this!

could you expand *all* the abbreviations in the text below the diagram? EG I 
think "VDOffset" is "vector data offset"? I think it will help to clarify for 
readers.

I wonder if we'll need {{ep}} as a special case -- it's really just the single 
node in the max level isn't it?

Could you explain what is in each of the {{NodesLevelX}}? I guess it's a list 
of the ordinals in level 0 that are contained in the other level -- but I 
wonder if we will  need this. Should we  implement the in-memory version before 
defining the serialization?


> Handle hierarchy in HNSW graph
> ------------------------------
>
>                 Key: LUCENE-10054
>                 URL: https://issues.apache.org/jira/browse/LUCENE-10054
>             Project: Lucene - Core
>          Issue Type: Task
>            Reporter: Mayya Sharipova
>            Priority: Major
>          Time Spent: 0.5h
>  Remaining Estimate: 0h
>
> Currently HNSW graph is represented as a single layer graph. 
>  We would like to extend it to handle hierarchy as per 
> [discussion|https://issues.apache.org/jira/browse/LUCENE-9004?focusedCommentId=17393216&page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel#comment-17393216].
>  
>  
> TODO tasks:
> - add multiple layers in the HnswGraph class
>  - modify the format in  Lucene90HnswVectorsWriter and 
> Lucene90HnswVectorsReader to handle multiple layers
> - modify graph construction and search algorithm to handle hierarchy
>  - run benchmarks



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