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We study numerically the maximum $z$-matching problems on ensembles of bipartite random graphs. The $z$-matching problems describes the matching between two types of nodes, users and servers, where each server may serve up to $z$ users at…

Disordered Systems and Neural Networks · Physics 2022-09-01 Till Kahlke , Martin Fränzle , Alexander K. Hartmann

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

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

We study the problem of maximizing a non-monotone submodular function subject to a cardinality constraint in the streaming model. Our main contribution is a single-pass (semi-)streaming algorithm that uses roughly $O(k / \varepsilon^2)$…

Data Structures and Algorithms · Computer Science 2020-08-11 Naor Alaluf , Alina Ene , Moran Feldman , Huy L. Nguyen , Andrew Suh

We show that the pseudoflow algorithm for maximum flow is particularly efficient for the bipartite matching problem both in theory and in practice. We develop several implementations of the pseudoflow algorithm for bipartite matching, and…

Data Structures and Algorithms · Computer Science 2011-05-10 Bala G. Chandran , Dorit S. Hochbaum

We consider streaming algorithms for approximating a product of input probabilities up to multiplicative error of $1-\epsilon$. It is shown that every randomized streaming algorithm for this problem needs space $\Omega(\log n + \log b -…

Data Structures and Algorithms · Computer Science 2025-10-02 Markus Lohrey , Leon Rische , Louisa Seelbach Benkner , Julio Xochitemol

The streaming model was introduced to parameterized complexity independently by Fafianie and Kratsch [MFCS14] and by Chitnis, Cormode, Hajiaghayi and Monemizadeh [SODA15]. Subsequently, it was broadened by Chitnis, Cormode, Esfandiari,…

Data Structures and Algorithms · Computer Science 2023-08-04 Daniel Lokshtanov , Pranabendu Misra , Fahad Panolan , M. S. Ramanujan , Saket Saurabh , Meirav Zehavi

We propose a streaming submodular maximization algorithm "stream clipper" that performs as well as the offline greedy algorithm on document/video summarization in practice. It adds elements from a stream either to a solution set $S$ or to…

Machine Learning · Statistics 2018-02-14 Tianyi Zhou , Jeff Bilmes

We introduce a `concrete complexity' model for studying algorithms for matching in bipartite graphs. The model is based on the "demand query" model used for combinatorial auctions. Most (but not all) known algorithms for bipartite matching…

Computational Complexity · Computer Science 2019-06-12 Noam Nisan

In the graph stream model of computation, an algorithm processes the edges of an input graph in one or more sequential passes while using a memory sublinear in the input size. This model poses significant challenges for constructing long…

Data Structures and Algorithms · Computer Science 2025-08-25 Christian Konrad , Chhaya Trehan

We present a new approach for finding matchings in dense graphs by building on Szemer\'edi's celebrated Regularity Lemma. This allows us to obtain non-trivial albeit slight improvements over longstanding bounds for matchings in streaming…

Data Structures and Algorithms · Computer Science 2022-07-20 Sepehr Assadi , Soheil Behnezhad , Sanjeev Khanna , Huan Li

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

We consider maximizing a monotone submodular function under a cardinality constraint or a knapsack constraint in the streaming setting. In particular, the elements arrive sequentially and at any point of time, the algorithm has access to…

Data Structures and Algorithms · Computer Science 2018-02-20 Chien-Chung Huang , Naonori Kakimura

We study space-pass tradeoffs in graph streaming algorithms for parameter estimation and property testing problems such as estimating the size of maximum matchings and maximum cuts, weight of minimum spanning trees, or testing if a graph is…

Data Structures and Algorithms · Computer Science 2021-04-13 Sepehr Assadi , Vishvajeet N

We study the problem of minimizing total completion time on parallel machines subject to varying processing capacity. In this paper, we develop an approximation scheme for the problem under the data stream model where the input data is…

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

We study the problem of graph and hypergraph sparsification in insertion-only data streams. The input is a hypergraph $H=(V, E, w)$ with $n$ nodes, $m$ hyperedges, and rank $r$, and the goal is to compute a hypergraph $\widehat{H}$ that…

Data Structures and Algorithms · Computer Science 2025-10-22 Vincent Cohen-Addad , David P. Woodruff , Shenghao Xie , Samson Zhou

In this paper we consider the well-studied problem of finding a perfect matching in a d-regular bipartite graph on 2n nodes with m=nd edges. The best-known algorithm for general bipartite graphs (due to Hopcroft and Karp) takes time…

Data Structures and Algorithms · Computer Science 2010-11-15 Ashish Goel , Michael Kapralov , Sanjeev Khanna

In this work, we study longest common substring, pattern matching, and wildcard pattern matching in the asymmetric streaming model. In this streaming model, we have random access to one string and streaming access to the other one. We…

Data Structures and Algorithms · Computer Science 2021-07-13 Tung Mai , Anup Rao , Ryan A. Rossi , Saeed Seddighin

We study the maximum weight matching problem in the random-order semi-streaming model and in the robust communication model. Unlike many other sublinear models, in these two frameworks, there is a large gap between the guarantees of the…

Data Structures and Algorithms · Computer Science 2024-08-29 Diba Hashemi , Weronika Wrzos-Kaminska

The study of approximate matching in the Massively Parallel Computations (MPC) model has recently seen a burst of breakthroughs. Despite this progress, however, we still have a far more limited understanding of maximal matching which is one…

Data Structures and Algorithms · Computer Science 2023-10-17 Soheil Behnezhad , MohammadTaghi Hajiaghayi , David G. Harris
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