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We study the problem of list ranking in the parallel external memory (PEM) model. We observe an interesting dual nature for the hardness of the problem due to limited information exchange among the processors about the structure of the…

Data Structures and Algorithms · Computer Science 2014-09-08 Riko Jacob , Tobias Lieber , Nodari Sitchinava

This paper initiates the study of I/O algorithms (minimizing cache misses) from the perspective of fine-grained complexity (conditional polynomial lower bounds). Specifically, we aim to answer why sparse graph problems are so hard, and why…

Data Structures and Algorithms · Computer Science 2017-12-06 Erik D. Demaine , Andrea Lincoln , Quanquan C. Liu , Jayson Lynch , Virginia Vassilevska Williams

Consider laying out a fixed-topology tree of N nodes into external memory with block size B so as to minimize the worst-case number of block memory transfers required to traverse a path from the root to a node of depth D. We prove that the…

Data Structures and Algorithms · Computer Science 2013-11-28 Erik D. Demaine , John Iacono , Stefan Langerman

This report introduces a shared resource arbitration scheme "DPQ - Dynamic Priority Queue" which provides bandwidth guarantees and low worst case latency to each master in an MPSoC. Being a non-trivial candidate for timing analysis, SDRAM…

Hardware Architecture · Computer Science 2015-03-20 Hardik Shah , Andreas Raabe , Alois Knoll

We introduce a new family of priority-queue data structures: partition-based simple heaps. The structures consist of $O(\log n)$ doubly-linked lists; order is enforced among data in different lists, but the individual lists are unordered.…

Data Structures and Algorithms · Computer Science 2026-03-03 Gerth Stølting Brodal , John Iacono , Casper Moldrup Rysgaard , Sebastian Wild

We consider durable data structures for non-volatile main memory, such as the new Intel Optane memory architecture. Substantial recent work has concentrated on making concurrent data structures durable with low overhead, by adding a minimal…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-28 Gal Sela , Erez Petrank

Most evaluations of External Memory Module assume a static setting: memory is built offline and queried at a fixed state. In practice, memory is streaming: new facts arrive continuously, insertions interleave with retrievals, and the memory…

Artificial Intelligence · Computer Science 2026-02-17 Ruicheng Zhang , Xinyi Li , Tianyi Xu , Shuhao Zhang , Xiaofei Liao , Hai Jin

This paper reveals that locking can significantly degrade the performance of applications on disaggregated memory (DM), sometimes by several orders of magnitude, due to contention on the NICs of memory nodes (MN-NICs). To address this…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-26 Hanze Zhang , Ke Cheng , Rong Chen , Xingda Wei , Haibo Chen

Sorting extremely large datasets is a frequently occuring task in practice. These datasets are usually much larger than the computer's main memory; thus external memory sorting algorithms, first introduced by Aggarwal and Vitter (1988), are…

Data Structures and Algorithms · Computer Science 2018-11-06 Alireza Farhadi , MohammadTaghi Hajiaghayi , Kasper Green Larsen , Elaine Shi

We explore the problem of efficiently implementing shared data structures in an asynchronous computing environment. We start with a traditional FIFO queue, showing that full replication is possible with a delay of only a single round-trip…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-05 Samuel Baldwin , Cole Hausman , Mohamed Bakr , Edward Talmage

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

Joins are among the most time-consuming and data-intensive operations in relational query processing. Much research effort has been applied to the optimization of join processing due to their frequent execution. Recent studies have shown…

Databases · Computer Science 2025-05-26 Yuvaraj Chesetti , Prashant Pandey

Since its introduction in 2004, the MapReduce framework has become one of the standard approaches in massive distributed and parallel computation. In contrast to its intensive use in practise, theoretical footing is still limited and only…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-12-19 Gero Greiner , Riko Jacob

In this paper we describe data structures for orthogonal range reporting in external memory that support fast update operations. The query costs either match the query costs of the best previously known data structures or differ by a small…

Data Structures and Algorithms · Computer Science 2011-07-01 Yakov Nekrich

In this work, we establish the first separation between computation with bounded and unbounded space, for problems with short outputs (i.e., working memory can be exponentially larger than output size), both in the classical and the quantum…

Computational Complexity · Computer Science 2026-04-07 Zihan Hao , Zikuan Huang , Qipeng Liu

We present an in-place algorithm for the partition problem that has linear work and polylogarithmic span. The algorithm uses only exclusive read/write shared variables, and can be implemented using parallel-for-loops without any additional…

Data Structures and Algorithms · Computer Science 2020-07-10 William Kuszmaul , Alek Westover

In-memory data management systems, such as key-value stores, have become an essential infrastructure in today's big-data processing and cloud computing. They rely on efficient index structures to access data. While unordered indexes, such…

Databases · Computer Science 2019-02-19 Xingbo Wu , Fan Ni , Song Jiang

We consider the well-known problem of enumerating all triangles of an undirected graph. Our focus is on determining the input/output (I/O) complexity of this problem. Let $E$ be the number of edges, $M<E$ the size of internal memory, and…

Data Structures and Algorithms · Computer Science 2014-03-25 Rasmus Pagh , Francesco Silvestri

The best-known fully retroactive priority queue costs $O(\log^2 m \log \log m)$ time per operation and uses $O(m \log m)$ space, where $m$ is the number of operations performed on the data structure. In contrast, standard (non-retroactive)…

Data Structures and Algorithms · Computer Science 2026-04-16 Lucas Castro , Rosiane de Freitas

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