Maintaining Triangle Queries under Updates
Maintaining Triangle Queries under Updates
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维护更新下的三角查询
DOI：
10.1145/3396375
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发表时间：
2020
期刊：
影响因子：
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通讯作者：
Haozhe Zhang
中科院分区：
文献类型：
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作者：
A. Kara;Milos Nikolic;H. Ngo;Dan Olteanu;Haozhe Zhang
我们考虑在单匹马更新中以任意自由变量对输入关系进行逐步维护的问题。我们介绍了一种称为IVMϵ查询结果，使更新时间从数据库大小中的平方根到线性，而延迟范围从恒定时间到线性时间。在线矩阵矢量乘法在线上的更新空间是对没有或三个自由变量的三角形查询的最佳选择。作为次优的经典视图维护方法，使用了Delta查询处理和最佳案例最佳方法，该方法计算静态数据库中的所有三角形。
We consider the problem of incrementally maintaining the triangle queries with arbitrary free variables under single-tuple updates to the input relations. We introduce an approach called IVMϵ that exhibits a trade-off between the update time, the space, and the delay for the enumeration of the query result, such that the update time ranges from the square root to linear in the database size while the delay ranges from constant to linear time. IVMϵ achieves Pareto worst-case optimality in the update-delay space conditioned on the Online Matrix-Vector Multiplication conjecture. It is strongly Pareto optimal for the triangle queries with no or three free variables and weakly Pareto optimal for the remaining triangle queries with one or two free variables. IVMϵ recovers prior work such as the suboptimal classical view maintenance approach that uses delta query processing and the worst-case optimal approach that computes all triangles in a static database.
k-clique的动态描述复杂度
DOI：
10.1016/j.ic.2017.04.005
发表时间：
2017
期刊：
Inf. Comput.
影响因子：
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作者：
Thomas Zeume
通讯作者：
Thomas Zeume