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Counting Triangles under Updates in Worst-Case Optimal Time · RelationalAI
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Counting Triangles under Updates in Worst-Case Optimal Time
We consider the problem of incrementally maintaining the triangle count query
under single-tuple updates to the input relations.
Authors: Ahmet Kara, Hung Q. Ngo, Milos Nikolic, Dan Olteanu, Haozhe
Zhang. 2019.
In Proceedings of the 22nd International Conference on Database Theory (ICDT
‘19). (Best Paper Award).
We consider the problem of incrementally maintaining the triangle count query
under single-tuple updates to the input relations. We introduce an approach that
exhibits a space-time tradeoff such that the space-time product is quadratic in
the size of the input database and the update time can be as low as the square
root of this size. This lowest update time is worst-case optimal conditioned on
the Online Matrix-Vector Multiplication conjecture.