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Population protocols are a popular model of distributed computing, in which randomly-interacting agents with little computational power cooperate to jointly perform computational tasks. Inspired by developments in molecular computation, and…

分布式、并行与集群计算 · 计算机科学 2017-04-18 Dan Alistarh , James Aspnes , David Eisenstat , Rati Gelashvili , Ronald L. Rivest

Given a set $ P $ of $n$ points and a set $ H $ of $n$ half-planes in the plane, we consider the problem of computing a smallest subset of points such that each half-plane contains at least one point of the subset. The previously best…

计算几何 · 计算机科学 2025-01-07 Gang Liu , Haitao Wang

We revisit the classic border tree data structure [Gu, Farach, Beigel, SODA 1994] that answers the following prefix-suffix queries on a string $T$ of length $n$ over an integer alphabet $\Sigma=[0,\sigma)$: for any $i,j \in [0,n)$ return…

数据结构与算法 · 计算机科学 2024-11-07 Solon P. Pissis

We consider the dictionary problem in external memory and improve the update time of the well-known buffer tree by roughly a logarithmic factor. For any \lambda >= max {lg lg n, log_{M/B} (n/B)}, we can support updates in time O(\lambda /…

数据结构与算法 · 计算机科学 2011-04-15 John Iacono , Mihai Pǎtraşcu

In this paper we consider multiple constrained resource allocation problems, where the constraints can be specified by formulating activity dependency restrictions or by using game-theoretic models. All the problems are focused on generic…

数据结构与算法 · 计算机科学 2009-06-19 Mugurel Ionut Andreica , Madalina Ecaterina Andreica , Costel Visan

We study the problem of supporting queries on a string $S$ of length $n$ within a space bounded by the size $\gamma$ of a string attractor for $S$. Recent works showed that random access on $S$ can be supported in optimal…

数据结构与算法 · 计算机科学 2018-12-24 Nicola Prezza

We consider the following problem: given an unsorted array of $n$ elements, and a sequence of intervals in the array, compute the median in each of the subarrays defined by the intervals. We describe a simple algorithm which uses O(n) space…

数据结构与算法 · 计算机科学 2009-01-14 Beat Gfeller , Peter Sanders

In this paper, a unifying framework for orthogonal frequency division multiplexing (OFDM) multiuser resource allocation is presented. The isolated seeming problems of maximizing a weighted sum of rates for a given power budget $\bar{P}$ and…

信息论 · 计算机科学 2007-07-13 Gerhard Wunder , Thomas Michel

We seek to perform efficient queries for the predecessor among $n$ values stored in $k$ sorted arrays. Evading the $\Omega(n \log k)$ lower bound from merging $k$ arrays, we support predecessor queries in $O(\log n)$ time after $O(n…

数据结构与算法 · 计算机科学 2015-07-15 Carsten Grimm

The list-labeling problem captures the basic task of storing a dynamically changing set of up to $n$ elements in sorted order in an array of size $m = (1 + \Theta(1))n$. The goal is to support insertions and deletions while moving around…

数据结构与算法 · 计算机科学 2024-05-03 Michael A. Bender , Alex Conway , Martín Farach-Colton , Hanna Komlós , Michal Koucký , William Kuszmaul , Michael Saks

Given a string of length $n$ that is composed of $r$ runs of letters from the alphabet $\{0,1,\ldots,\sigma{-}1\}$ such that $2 \le \sigma \le r$, we describe a data structure that, provided $r \le n / \log^{\omega(1)} n$, stores the string…

数据结构与算法 · 计算机科学 2018-02-27 José Fuentes-Sepúlveda , Juha Kärkkäinen , Dmitry Kosolobov , Simon J. Puglisi

Population protocols are a fundamental model in distributed computing, where many nodes with bounded memory and computational power have random pairwise interactions over time. This model has been studied in a rich body of literature aiming…

分布式、并行与集群计算 · 计算机科学 2021-01-05 Simina Branzei , Yuval Peres

In this work, we study the limits of compressed data structures, i.e., structures that support various queries on an input text $T\in\Sigma^n$ using space proportional to the size of $T$ in compressed form. Nearly all fundamental queries…

数据结构与算法 · 计算机科学 2025-10-23 Dominik Kempa , Tomasz Kociumaka

In this paper, storage efficient caching based on time domain buffer sharing is considered. The caching policy allows a user to determine whether and how long it should cache a content item according to the prediction of its random request…

信息论 · 计算机科学 2018-04-10 Wei Chen , H. Vincent Poor

Given a sequence A of 2n real numbers, the Even-Rank-Sum problem asks for the sum of the n values that are at the even positions in the sorted order of the elements in A. We prove that, in the algebraic computation-tree model, this problem…

数据结构与算法 · 计算机科学 2009-03-23 Marc Mörig , Dieter Rautenbach , Michiel Smid , Jan Tusch

This paper considers an opportunistic scheduling problem over a renewal system. A controller observes a random event at the beginning of each renewal frame and then chooses an action in response to the event, which affects the duration of…

最优化与控制 · 数学 2019-06-10 Xiaohan Wei , Michael J. Neely

In the static retrieval problem, a data structure must answer retrieval queries mapping a set of $n$ keys in a universe $[U]$ to $v$-bit values. Information-theoretically, retrieval data structures can use as little as $nv$ bits of space.…

数据结构与算法 · 计算机科学 2025-10-22 Yang Hu , William Kuszmaul , Jingxun Liang , Huacheng Yu , Junkai Zhang , Renfei Zhou

We tackle in this paper an online network resource allocation problem with job transfers. The network is composed of many servers connected by communication links. The system operates in discrete time; at each time slot, the administrator…

We formulate and analyze a generic sequential resource access problem arising in a variety of engineering fields, where a user disposes a number of heterogeneous computing, communication, or storage resources, each characterized by the…

网络与互联网体系结构 · 计算机科学 2020-12-08 Lin Chen , Anastasios Giovanidis , Wei Wang , Lin Shan

We explore the potential of optimizing resource allocation with flexible numerology in frequency domain and variable frame structure in time domain, in presence of services with different types of requirements. We analyze the computational…

信息论 · 计算机科学 2018-08-13 Lei You , Qi Liao , Nikolaos Pappas , Di Yuan