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Database Management Systems and K/V-Stores operate on updatable datasets -- massively exceeding the size of available main memory. Tree-based K/V storage management structures became particularly popular in storage engines. B+ Trees allow…

Databases · Computer Science 2022-09-21 Christian Riegger , Ilia Petrov

Balanced search trees are widely used in computer science to efficiently maintain dynamic ordered data. To support efficient set operations (e.g., union, intersection, difference) using trees, the join-based framework is widely studied.…

Data Structures and Algorithms · Computer Science 2025-10-24 Michael Goodrich , Yan Gu , Ryuto Kitagawa , Yihan Sun

We consider the task of optimizing the B-tree data structure, used extensively in operating systems and databases, for sustainable usage on multi-level flash memory. Empirical evidence shows that this new flash memory tree, or FM Tree,…

Data Structures and Algorithms · Computer Science 2012-05-08 James Clay , Kevin Wortman

Previous work has shown that the problem of learning the optimal structure of a Bayesian network can be formulated as a shortest path finding problem in a graph and solved using A* search. In this paper, we improve the scalability of this…

Artificial Intelligence · Computer Science 2012-02-20 Brandon Malone , Changhe Yuan , Eric A. Hansen , Susan Bridges

We revisit self-adjusting external memory tree data structures, which combine the optimal (and practical) worst-case I/O performances of B-trees, while adapting to the online distribution of queries. Our approach is analogous to undergoing…

Data Structures and Algorithms · Computer Science 2019-03-11 Erik D. Demaine , John Iacono , Grigorios Koumoutsos , Stefan Langerman

We present a new universal source code for distributions of unlabeled binary and ordinal trees that achieves optimal compression to within lower order terms for all tree sources covered by existing universal codes. At the same time, it…

Data Structures and Algorithms · Computer Science 2021-09-06 J. Ian Munro , Patrick K. Nicholson , Louisa Seelbach Benkner , Sebastian Wild

In this paper, a new and novel data structure is proposed to dynamically insert and delete segments. Unlike the standard segment trees[3], the proposed data structure permits insertion of a segment with interval range beyond the interval…

Computational Geometry · Computer Science 2015-01-15 K. S. Easwarakumar , T. Hema

In this paper we describe a fully-dynamic data structure for the planar point location problem in the external memory model. Our data structure supports queries in $O(\log_B n(\log\log_B n)^3))$ I/Os and updates in $O(\log_B n(\log\log_B…

Data Structures and Algorithms · Computer Science 2019-03-18 J. Ian Munro , Yakov Nekrich

We introduce the lazy search tree data structure. The lazy search tree is a comparison-based data structure on the pointer machine that supports order-based operations such as rank, select, membership, predecessor, successor, minimum, and…

Data Structures and Algorithms · Computer Science 2020-10-20 Bryce Sandlund , Sebastian Wild

Hash tables are one of the most fundamental data structures in computer science, in both theory and practice. They are especially useful in external memory, where their query performance approaches the ideal cost of just one disk access.…

Data Structures and Algorithms · Computer Science 2008-11-20 Zhewei Wei , Ke Yi , Qin Zhang

It is widely assumed that $O(m+\lg \sigma)$ is the best one can do for finding a pattern of length $m$ in a compacted trie storing strings over an alphabet of size $\sigma$, if one insists on linear-size data structures and deterministic…

Data Structures and Algorithms · Computer Science 2013-02-15 Johannes Fischer , Pawel Gawrychowski

B$^+$-trees are prevalent in traditional database systems due to their versatility and balanced structure. While binary search is typically utilized for branch operations, it may lead to inefficient cache utilization in main-memory…

Databases · Computer Science 2025-04-04 Yuan Chen , Ao Li , Wenhai Li , Lingfeng Deng

The paper presents the first \emph{concurrency-optimal} implementation of a binary search tree (BST). The implementation, based on a standard sequential implementation of an internal tree, ensures that every \emph{schedule} is accepted,…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-03 Vitaly Aksenov , Vincent Gramoli , Petr Kuznetsov , Anna Malova , Srivatsan Ravi

Tree-based data structures are ubiquitous across applications. Therefore, a multitude of different tree implementations exist. However, while these implementations are diverse, they share a tree structure as the underlying data structure.…

Hardware Architecture · Computer Science 2025-01-30 Daniel Biebert , Christian Hakert , Jian-Jia Chen

Motivated by privacy preservation for outsourced data, data-oblivious external memory is a computational framework where a client performs computations on data stored at a semi-trusted server in a way that does not reveal her data to the…

Data Structures and Algorithms · Computer Science 2014-09-03 Michael T. Goodrich , Joseph A. Simons

Breadth-first search (BFS) is known as a basic search strategy for learning graph properties. As the scales of graph databases have increased tremendously in recent years, large-scale graphs G are often disk-resident. Obtaining the BFS…

Data Structures and Algorithms · Computer Science 2025-07-18 Xiaolong Wan , Xixian Han

This thesis presents a number of results related to path traversal in trees and graphs. In particular, we focus on data structures which allow such traversals to be performed efficiently in the external memory setting. In addition, for…

Data Structures and Algorithms · Computer Science 2013-08-22 Craig Dillabaugh

In the age of big data, sorting is an indispensable operation for DBMSes and similar systems. Having data sorted can help produce query plans with significantly lower run times. It also can provide other benefits like having non-blocking…

Databases · Computer Science 2022-07-27 Michael Polyntsov , Valentin Grigorev , Kirill Smirnov , George Chernishev

The Burrows Wheeler transform has applications in data compression as well as full text indexing. Despite its important applications and various existing algorithmic approaches the construction of the transform for large data sets is still…

Data Structures and Algorithms · Computer Science 2016-04-25 German Tischler

Self-adjusting data structures are a classic approach to adapting the complexity of operations to the data access distribution. While several self-adjusting variants are known for both binary search trees and B-Trees, existing constructions…

Data Structures and Algorithms · Computer Science 2023-10-10 Alexander Slastin , Dan Alistarh , Vitaly Aksenov