Django treebeard what are differences between AL, NS, MP

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I'm trying to make a model for categorizing some objects.

I already tried using django-mptt to easily retrieve related categories, and now I'm searching different solutions to find the best one.

I can't find out though what are main differences between Materialized Path, Adjacency List and Nested Set. Wikipedia didn't give me a short answer, all I know is mptt is probably Nested Set...

Can anyone explain it to me in few words ?

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