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Containment-based trees encompass various handy structures such as B+-trees, R-trees and M-trees. They are widely used to build data indexes, range-queryable overlays, publish/subscribe systems both in centralized and distributed contexts.…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-12-17 Evangelos Bampas , Anissa Lamani , Franck Petit , Mathieu Valero

As a key ingredient of the DBMS, index plays an important role in the query optimization and processing. However, it is a non-trivial task to apply existing indexes or design new indexes for new applications, where both data distribution…

Databases · Computer Science 2020-03-05 Sai Wu , Xinyi Yu , Xiaojie Feng , Feifei Li , Wei Cao , Gang Chen

Efficient search operations in databases are paramount for timely retrieval of information various applications. This research introduces a novel approach, combining dynamicalgorithm1 selection and caching2 strategies, to optimize search…

Databases · Computer Science 2023-11-15 Hakikat Singh

Connectivity queries, which check whether vertices belong to the same connected component, are fundamental in graph computations. Sliding window connectivity processes these queries over sliding windows, facilitating real-time streaming…

Databases · Computer Science 2025-01-07 Chao Zhang , Angela Bonifati , Tamer Özsu

Splay trees (Sleator and Tarjan) satisfy the so-called access lemma. Many of the nice properties of splay trees follow from it. What makes self-adjusting binary search trees (BSTs) satisfy the access lemma? After each access, self-adjusting…

Data Structures and Algorithms · Computer Science 2015-08-20 Parinya Chalermsook , Mayank Goswami , Laszlo Kozma , Kurt Mehlhorn , Thatchaphol Saranurak

This paper studies a fundamental algorithmic problem related to the design of demand-aware networks: networks whose topologies adjust toward the traffic patterns they serve, in an online manner. The goal is to strike a tradeoff between the…

Data Structures and Algorithms · Computer Science 2020-04-07 Chen Avin , Kaushik Mondal , Stefan Schmid

We consider the fundamental problem of designing a self-adjusting tree, which efficiently and locally adapts itself towards the demand it serves (namely accesses to the items stored by the tree nodes), striking a balance between the…

Data Structures and Algorithms · Computer Science 2023-01-10 Arash Pourdamghani , Chen Avin , Robert Sama , Stefan Schmid

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

Data augmentation is widely used for training a neural network given little labeled data. A common practice of augmentation training is applying a composition of multiple transformations sequentially to the data. Existing augmentation…

Machine Learning · Computer Science 2024-08-27 Dongyue Li , Kailai Chen , Predrag Radivojac , Hongyang R. Zhang

A treap is a classic randomized binary search tree data structure that is easy to implement and supports O(\log n) expected time access. However, classic treaps do not take advantage of the input distribution or patterns in the input. Given…

Data Structures and Algorithms · Computer Science 2022-06-27 Honghao Lin , Tian Luo , David P. Woodruff

The paper presents an algorithm, called Self-Morphing Adaptive Replanning Tree (SMART), that facilitates fast replanning in dynamic environments. SMART performs risk based tree-pruning if the current path is obstructed by nearby moving…

Robotics · Computer Science 2023-09-22 Zongyuan Shen , James P. Wilson , Shalabh Gupta , Ryan Harvey

A sorted set (or map) is one of the most used data types in computer science. In addition to standard set operations, like Insert, Remove, and Contains, it can provide set-set operations such as Union,Intersection, and Difference. Each of…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-27 Ilya Kokorin , Vitaly Aksenov , Alena Martsenyuk

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 how to dynamize the Trapezoidal Search Tree - a well known randomized point location structure for planar subdivisions of kinetic line segments. Our approach naturally extends incremental leaf-level insertions to recursive methods…

Computational Geometry · Computer Science 2019-12-10 Milutin Brankovic , Nikola Grujic , André van Renssen , Martin P. Seybold

Search trees on trees (STTs) are a far-reaching generalization of binary search trees (BSTs), allowing the efficient exploration of tree-structured domains. (BSTs are the special case in which the underlying domain is a path.) Trees on…

Data Structures and Algorithms · Computer Science 2020-10-29 Benjamin Aram Berendsohn , László Kozma

Search engines play a vital role in day to day life on internet. People use search engines to find content on internet. Cloud computing is the computing concept in which data is stored and accessed with the help of a third party server…

Information Retrieval · Computer Science 2014-11-26 Simran Bijral , Debajyoti Mukhopadhyay

Augmentation makes search trees tremendously more versatile, allowing them to support efficient aggregation queries, order-statistic queries, and range queries in addition to insertion, deletion, and lookup. In this paper, we present the…

Data Structures and Algorithms · Computer Science 2026-01-27 Evan Wrench , Ajay Singh , Younghun Roh , Panagiota Fatourou , Siddhartha Jayanti , Eric Ruppert , Yuanhao Wei

We propose BS-tree, an in-memory implementation of the B+-tree that adopts the structure of the disk-based index (i.e., a balanced, multiway tree), setting the node size to a memory block that can be processed fast and in parallel using…

Databases · Computer Science 2025-11-14 Dimitrios Tsitsigkos , Achilleas Michalopoulos , Nikos Mamoulis , Manolis Terrovitis

This paper presents the first implementation of a search tree data structure in an asynchronous shared-memory system that provides a wait-free algorithm for executing range queries on the tree, in addition to non-blocking algorithms for…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-15 Panagiota Fatourou , Eric Ruppert

Index plays an essential role in modern database engines to accelerate the query processing. The new paradigm of "learned index" has significantly changed the way of designing index structures in DBMS. The key insight is that indexes could…

Databases · Computer Science 2021-04-14 Jiacheng Wu , Yong Zhang , Shimin Chen , Jin Wang , Yu Chen , Chunxiao Xing