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The problem of network coding with multicast of a single source to multisink has first been studied by Ahlswede, Cai, Li and Yeung in 2000, in which they have established the celebrated max-flow mini-cut theorem on non-physical information…

Information Theory · Computer Science 2010-01-29 Te Sun Han

We study the classic set cover problem from the perspective of sub-linear algorithms. Given access to a collection of $m$ sets over $n$ elements in the query model, we show that sub-linear algorithms derived from existing techniques have…

Data Structures and Algorithms · Computer Science 2019-02-12 Piotr Indyk , Sepideh Mahabadi , Ronitt Rubinfeld , Ali Vakilian , Anak Yodpinyanee

Minimum spanning trees are important tools in the analysis and design of networks. Many practical applications require their computation, ranging from biology and linguistics to economy and telecommunications. The set of cycles of a network…

Discrete Mathematics · Computer Science 2024-04-29 Manuel Dubinsky , Kun-Mao Chao , César Massri , Gabriel Taubin

Estimating the size of the maximum matching is a canonical problem in graph algorithms, and one that has attracted extensive study over a range of different computational models. We present improved streaming algorithms for approximating…

Data Structures and Algorithms · Computer Science 2016-11-15 Graham Cormode , Hossein Jowhari , Morteza Monemizadeh , S. Muthukrishnan

We study graph computations in an enhanced data streaming setting, where a space-bounded client reading the edge stream of a massive graph may delegate some of its work to a cloud service. We seek algorithms that allow the client to verify…

Data Structures and Algorithms · Computer Science 2020-07-08 Amit Chakrabarti , Prantar Ghosh , Justin Thaler

In this paper, we design the first streaming algorithms for the problem of multitasking scheduling on parallel machines with shared processing. In one pass, our streaming approximation schemes can provide an approximate value of the optimal…

Data Structures and Algorithms · Computer Science 2022-04-06 Bin Fu , Yumei Huo , Hairong Zhao

We study the problem of partitioning integer sequences in the one-pass data streaming model. Given is an input stream of integers $X \in \{0, 1, \dots, m \}^n$ of length $n$ with maximum element $m$, and a parameter $p$. The goal is to…

Data Structures and Algorithms · Computer Science 2014-07-08 Christian Konrad , László Kozma

We investigate the problem of deterministic pattern matching in multiple streams. In this model, one symbol arrives at a time and is associated with one of s streaming texts. The task at each time step is to report if there is a new match…

Data Structures and Algorithms · Computer Science 2012-04-26 Raphael Clifford , Markus Jalsenius , Ely Porat , Benjamin Sach

Considerable effort has been devoted to the development of streaming algorithms for analyzing massive graphs. Unfortunately, many results have been negative, establishing that a wide variety of problems require $\Omega(n^2)$ space to solve.…

Data Structures and Algorithms · Computer Science 2015-08-11 Justin Thaler

We study video streaming over a slow fading wireless channel. In a streaming application video packets are required to be decoded and displayed in the order they are transmitted as the transmission goes on. This results in per-packet delay…

Information Theory · Computer Science 2015-10-12 Giuseppe Cocco , Deniz Gündüz , Christian Ibars

In the class of streaming anomaly detection algorithms for univariate time series, the size of the sliding window over which various statistics are calculated is an important parameter. To address the anomalous variation in the scale of the…

Applications · Statistics 2017-06-22 B Ravi Kiran

In earlier work, we showed that it is possible to achieve $O(\log N)$ streaming delay with high probability in a peer-to-peer network, where each peer has as little as four neighbors, while achieving any arbitrary fraction of the maximum…

Networking and Internet Architecture · Computer Science 2013-09-02 Joohwan Kim , R. Srikant

We consider the problem of computing distance between a pattern of length $n$ and all $n$-length subwords of a text in the streaming model. In the streaming setting, only the Hamming distance ($L_0$) has been studied. It is known that…

Data Structures and Algorithms · Computer Science 2020-11-10 Tatiana Starikovskaya , Michal Svagerka , Przemysław Uznański

We present parameterized streaming algorithms for the graph matching problem in both the dynamic and the insert-only models. For the dynamic streaming model, we present a one-pass algorithm that, with high probability, computes a…

Data Structures and Algorithms · Computer Science 2021-02-26 Jianer Chen , Qin Huang , Iyad Kanj , Ge Xia

There has been a recent explosion in the size of stored data, partially due to advances in storage technology, and partially due to the growing popularity of cloud-computing and the vast quantities of data generated. This motivates the need…

Data Structures and Algorithms · Computer Science 2012-12-06 Isabelle Stanton

We consider directed graph algorithms in a streaming setting, focusing on problems concerning orderings of the vertices. This includes such fundamental problems as topological sorting and acyclicity testing. We also study the related…

Data Structures and Algorithms · Computer Science 2021-05-19 Amit Chakrabarti , Prantar Ghosh , Andrew McGregor , Sofya Vorotnikova

Given a set of vectors $X = \{ x_1,\dots, x_n \} \subset \mathbb{R}^d$, the Euclidean max-cut problem asks to partition the vectors into two parts so as to maximize the sum of Euclidean distances which cross the partition. We design new…

Data Structures and Algorithms · Computer Science 2025-03-19 Nicolas Menand , Erik Waingarten

Developing high-performance and energy-efficient algorithms for maximum matchings is becoming increasingly important in social network analysis, computational sciences, scheduling, and others. In this work, we propose the first maximum…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-29 Maciej Besta , Marc Fischer , Tal Ben-Nun , Dimitri Stanojevic , Johannes De Fine Licht , Torsten Hoefler

Given an undirected graph $G=(V,E)$ on $n$ vertices, $m$ edges, and an integer $t\ge 1$, a subgraph $(V,E_S)$, $E_S\subseteq E$ is called a $t$-spanner if for any pair of vertices $u,v \in V$, the distance between them in the subgraph is at…

Data Structures and Algorithms · Computer Science 2007-05-23 Surender Baswana

Pattern matching of streaming time series with lower latency under limited computing resource comes to a critical problem, especially as the growth of Industry 4.0 and Industry Internet of Things. However, against traditional single pattern…

Databases · Computer Science 2018-05-18 Rong Kang , Chen Wang , Peng Wang , Yuting Ding , Jianmin Wang