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We propose two one-pass streaming algorithms for the $\mathcal{NP}$-hard hypergraph matching problem. The first algorithm stores a small subset of potential matching edges in a stack using dual variables to select edges. It has an…

Data Structures and Algorithms · Computer Science 2025-07-09 Henrik Reinstädtler , S M Ferdous , Alex Pothen , Bora Uçar , Christian Schulz

We discuss approximability and inapproximability in FPT-time for a large class of subset problems where a feasible solution $S$ is a subset of the input data and the value of $S$ is $|S|$. The class handled encompasses many well-known…

Computational Complexity · Computer Science 2013-10-22 Edouard Bonnet , Vangelis Th. Paschos

We study computational complexity of the class of distance-constrained graph labeling problems from the fixed parameter tractability point of view. The parameters studied are neighborhood diversity and clique width. We rephrase the distance…

Discrete Mathematics · Computer Science 2015-12-04 Jiří Fiala , Tomáš Gavenčiak , Dušan Knop , Martin Koutecký , Jan Kratochvíl

We study the space complexity of computing a sparse subgraph of a directed graph that certifies connectivity in the streaming and distributed models. Formally, for a directed graph $G=(V,A)$ and $k\in \mathbb{N}$, a $k$-node strong…

Data Structures and Algorithms · Computer Science 2026-02-16 Ho-Lin Chen , Tsun Ming Cheung , Peng-Ting Lin , Meng-Tsung Tsai

Big data problems frequently require processing datasets in a streaming fashion, either because all data are available at once but collectively are larger than available memory or because the data intrinsically arrive one data point at a…

Computation · Statistics 2018-08-08 Andrea Giovannucci , Victor Minden , Cengiz Pehlevan , Dmitri B. Chklovskii

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

The $k$-core decomposition is a fundamental primitive in many machine learning and data mining applications. We present the first distributed and the first streaming algorithms to compute and maintain an approximate $k$-core decomposition…

Data Structures and Algorithms · Computer Science 2018-11-27 Hossein Esfandiari , Silvio Lattanzi , Vahab Mirrokni

In this survey we describe progress over the last decade or so in understanding the complexity of solving constraint satisfaction problems (CSPs) approximately in the streaming and sketching models of computation. After surveying some of…

Computational Complexity · Computer Science 2022-05-06 Madhu Sudan

We explore a novel problem in streaming submodular maximization, inspired by the dynamics of news-recommendation platforms. We consider a setting where users can visit a news website at any time, and upon each visit, the website must…

Data Structures and Algorithms · Computer Science 2026-01-19 Honglian Wang , Sijing Tu , Lutz Oettershagen , Aristides Gionis

Motivated by the trend to outsource work to commercial cloud computing services, we consider a variation of the streaming paradigm where a streaming algorithm can be assisted by a powerful helper that can provide annotations to the data…

Data Structures and Algorithms · Computer Science 2015-03-14 Graham Cormode , Michael Mitzenmacher , Justin Thaler

We optimally resolve the space complexity for the problem of finding an $\alpha$-approximate minimum vertex cover ($\alpha$MVC) in dynamic graph streams. We give a randomised algorithm for $\alpha$MVC which uses $O(n^2/\alpha^2)$ bits of…

Data Structures and Algorithms · Computer Science 2022-09-14 Kheeran K. Naidu , Vihan Shah

We study the problem of extracting a small subset of representative items from a large data stream. In many data mining and machine learning applications such as social network analysis and recommender systems, this problem can be…

Data Structures and Algorithms · Computer Science 2021-02-15 Yanhao Wang , Francesco Fabbri , Michael Mathioudakis

Ordered matchings, defined as graphs with linearly ordered vertices, where each vertex is connected to exactly one edge, play a crucial role in the area of ordered graphs and their homomorphisms. Therefore, we consider related problems from…

Computational Complexity · Computer Science 2025-12-01 Michal Čertík , Andreas Emil Feldmann , Jaroslav Nešetřil , Paweł Rzążewski

We define the Streaming Communication model that combines the main aspects of communication complexity and streaming. We consider two agents that want to compute some function that depends on inputs that are distributed to each agent. The…

Computational Complexity · Computer Science 2016-09-23 Lucas Boczkowski , Iordanis Kerenidis , Frédéric Magniez

Subgraph counting is a fundamental primitive in graph processing, with applications in social network analysis (e.g., estimating the clustering coefficient of a graph), database processing and other areas. The space complexity of subgraph…

Data Structures and Algorithms · Computer Science 2018-08-16 John Kallaugher , Michael Kapralov , Eric Price

Streaming submodular maximization is a natural model for the task of selecting a representative subset from a large-scale dataset. If datapoints have sensitive attributes such as gender or race, it becomes important to enforce fairness to…

Machine Learning · Computer Science 2025-11-25 Marwa El Halabi , Federico Fusco , Ashkan Norouzi-Fard , Jakab Tardos , Jakub Tarnawski

Graph partitioning is an important preprocessing step to distributed graph processing. In edge partitioning, the edge set of a given graph is split into $k$ equally-sized partitions, such that the replication of vertices across partitions…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-22 Ruben Mayer , Kamil Orujzade , Hans-Arno Jacobsen

Embedding networks into a fixed dimensional feature space, while preserving its essential structural properties is a fundamental task in graph analytics. These feature vectors (graph descriptors) are used to measure the pairwise similarity…

Databases · Computer Science 2020-02-20 Zohair Raza Hassan , Mudassir Shabbir , Imdadullah Khan , Waseem Abbas

Kernel methods are considered an effective technique for on-line learning. Many approaches have been developed for compactly representing the dual solution of a kernel method when the problem imposes memory constraints. However, in…

Machine Learning · Computer Science 2016-07-21 Giovanni Da San Martino , Nicolò Navarin , Alessandro Sperduti

Parameterized algorithms are a way to solve hard problems more efficiently, given that a specific parameter of the input is small. In this paper, we apply this idea to the field of answer set programming (ASP). To this end, we propose two…

Logic in Computer Science · Computer Science 2017-02-10 Johannes Fichte , Markus Hecher , Michael Morak , Stefan Woltran
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