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We investigate the query evaluation problem for fixed queries over fully dynamic databases where tuples can be inserted or deleted. The task is to design a dynamic data structure that can immediately report the new result of a fixed query…

Databases · Computer Science 2017-09-29 Christoph Berkholz , Jens Keppeler , Nicole Schweikardt

We investigate trade-offs in static and dynamic evaluation of hierarchical queries with arbitrary free variables. In the static setting, the trade-off is between the time to partially compute the query result and the delay needed to…

Databases · Computer Science 2024-02-14 Ahmet Kara , Milos Nikolic , Dan Olteanu , Haozhe Zhang

We consider the task of enumerating and counting answers to $k$-ary conjunctive queries against relational databases that may be updated by inserting or deleting tuples. We exhibit a new notion of q-hierarchical conjunctive queries and show…

Databases · Computer Science 2017-02-22 Christoph Berkholz , Jens Keppeler , Nicole Schweikardt

Efficient consistency maintenance of incomplete and dynamic real-life databases is a quality label for further data analysis. In prior work, we tackled the generic problem of database updating in the presence of tuple generating constraints…

Databases · Computer Science 2024-05-16 Jacques Chabin , Mirian Halfeld Ferrari , Nicolas Hiot , Dominique Laurent

We present a new fully dynamic algorithm for maintaining convex hulls under insertions and deletions while supporting geometric queries. Our approach combines the logarithmic method with a deletion-only convex hull data structure, achieving…

Computational Geometry · Computer Science 2026-04-02 Ivor van der Hoog , Henrik Reinstädtler , Eva Rotenberg

We investigate the query evaluation problem for fixed queries over fully dynamic databases, where tuples can be inserted or deleted. The task is to design a dynamic algorithm that immediately reports the new result of a fixed query after…

Databases · Computer Science 2017-03-01 Christoph Berkholz , Jens Keppeler , Nicole Schweikardt

We study the problem of answering conjunctive queries with free access patterns (CQAPs) under updates. A free access pattern is a partition of the free variables of the query into input and output. The query returns tuples over the output…

Databases · Computer Science 2025-06-18 Ahmet Kara , Milos Nikolic , Dan Olteanu , Haozhe Zhang

We build upon the recent papers by Weinstein and Yu (FOCS'16), Larsen (FOCS'12), and Clifford et al. (FOCS'15) to present a general framework that gives amortized lower bounds on the update and query times of dynamic data structures. Using…

Data Structures and Algorithms · Computer Science 2019-02-07 Sayan Bhattacharya , Monika Henzinger , Stefan Neumann

We investigate the evaluation of conjunctive queries over static and dynamic relations. While static relations are given as input and do not change, dynamic relations are subject to inserts and deletes. We characterise syntactically three…

Databases · Computer Science 2025-03-28 Ahmet Kara , Zheng Luo , Milos Nikolic , Dan Olteanu , Haozhe Zhang

The B-tree is a fundamental secondary index structure that is widely used for answering one-dimensional range reporting queries. Given a set of $N$ keys, a range query can be answered in $O(\log_B \nm + \frac{K}{B})$ I/Os, where $B$ is the…

Data Structures and Algorithms · Computer Science 2008-11-27 Ke Yi

We study the enumeration of answers to ontology-mediated queries (OMQs) where the ontology is a set of guarded TGDs or formulated in the description logic ELI and the query is a conjunctive query (CQ). In addition to the traditional notion…

Databases · Computer Science 2022-03-18 Carsten Lutz , Marcin Przybyłko

We consider the planar dynamic convex hull problem. In the literature, solutions exist supporting the insertion and deletion of points in poly-logarithmic time and various queries on the convex hull of the current set of points in…

Computational Geometry · Computer Science 2024-03-12 Bruce Brewer , Gerth Stølting Brodal , Haitao Wang

We study the point location problem on dynamic planar subdivisions that allows insertions and deletions of edges. In our problem, the underlying graph of a subdivision is not necessarily connected. We present a data structure of linear size…

Computational Geometry · Computer Science 2018-03-13 Eunjin Oh , Hee-Kap Ahn

We study the point location problem in incremental (possibly disconnected) planar subdivisions, that is, dynamic subdivisions allowing insertions of edges and vertices only. Specifically, we present an $O(n\log n)$-space data structure for…

Computational Geometry · Computer Science 2018-09-28 Eunjin Oh

One of the major challenges being faced by Database managers today is to manage the performance of complex SQL queries which are dynamic in nature. Since it is not possible to tune each and every query because of its dynamic nature, there…

Databases · Computer Science 2013-08-19 Pinaki Mitra , Girish Sundaram , Sreedish PS

In this paper, we construct a data structure to efficiently compute the longest increasing subsequence of a sequence subject to dynamic updates. Our data structure supports a query for the longest increasing subsequence in $O(r+\log n)$…

Data Structures and Algorithms · Computer Science 2013-12-17 Alex Chen , Timothy Chu , Nathan Pinsker

In this paper, we propose a data structure, a quadruple neighbor list (QN-list, for short), to support real time queries of all longest increasing subsequence (LIS) and LIS with constraints over sequential data streams. The QN-List built by…

Data Structures and Algorithms · Computer Science 2016-10-12 Youhuan Li , Lei Zou , Huaming Zhang , Dongyan Zhao

In this article, we determine the amortized computational complexity of the planar dynamic convex hull problem by querying. We present a data structure that maintains a set of n points in the plane under the insertion and deletion of points…

Computational Geometry · Computer Science 2019-03-01 Riko Jacob , Gerth Stølting Brodal

We consider the problem of dynamically maintaining the convex hull of a set $S$ of points in the plane under the following special sequence of insertions and deletions (called {\em window-sliding updates}): insert a point to the right of…

Computational Geometry · Computer Science 2023-09-06 Haitao Wang

String Edit Distance is a more-than-classical problem whose behavior in the dynamic setting, where the strings are updated over time, is well studied. A single-character substitution, insertion, or deletion can be processed in time…

Data Structures and Algorithms · Computer Science 2025-11-18 Bingbing Hu , Jakob Nogler , Barna Saha
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