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In this paper, we design sub-linear space streaming algorithms for estimating three fundamental parameters -- maximum independent set, minimum dominating set and maximum matching -- on sparse graph classes, i.e., graphs which satisfy…

Data Structures and Algorithms · Computer Science 2023-05-29 Xiuge Chen , Rajesh Chitnis , Patrick Eades , Anthony Wirth

In streamed graph drawing, a planar graph, G, is given incrementally as a data stream and a straight-line drawing of G must be updated after each new edge is released. To preserve the mental map, changes to the drawing should be minimized…

Data Structures and Algorithms · Computer Science 2013-09-02 Michael T. Goodrich , Paweł Pszona

Directed graphs are widely used to model data flow and execution dependencies in streaming applications. This enables the utilization of graph partitioning algorithms for the problem of parallelizing computation for multiprocessor…

Data Structures and Algorithms · Computer Science 2017-09-26 Orlando Moreira , Merten Popp , Christian Schulz

Most networks are not static objects, but instead they change over time. This observation has sparked rigorous research on temporal graphs within the last years. In temporal graphs, we have a fixed set of nodes and the connections between…

Computer Science and Game Theory · Computer Science 2023-05-23 Davide Bilò , Sarel Cohen , Tobias Friedrich , Hans Gawendowicz , Nicolas Klodt , Pascal Lenzner , George Skretas

We study the interplay between chip-firing games and potential theory on graphs, characterizing reduced divisors ($G$-parking functions) on graphs as the solution to an energy (or potential) minimization problem and providing an algorithm…

Combinatorics · Mathematics 2012-07-31 Matthew Baker , Farbod Shokrieh

Streaming computation plays an important role in large-scale data analysis. The sliding window model is a model of streaming computation which also captures the recency of the data. In this model, data arrives one item at a time, but only…

Data Structures and Algorithms · Computer Science 2021-11-01 Alessandro Epasto , Mohammad Mahdian , Vahab Mirrokni , Peilin Zhong

We present an effective heuristic for the Steiner Problem in Graphs. Its main elements are a multistart algorithm coupled with aggressive combination of elite solutions, both leveraging recently-proposed fast local searches. We also propose…

Data Structures and Algorithms · Computer Science 2014-12-11 Thomas Pajor , Eduardo Uchoa , Renato F. Werneck

We consider the problem of monotone, submodular maximization over a ground set of size $n$ subject to cardinality constraint $k$. For this problem, we introduce the first deterministic algorithms with linear time complexity; these…

Data Structures and Algorithms · Computer Science 2021-03-09 Alan Kuhnle

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

This work concerns with proving space lower bounds for graph problems in the streaming model. It is known that computing the length of shortest path between two nodes in the streaming model requires $\Omega(n)$ space, where $n$ is the…

Computational Complexity · Computer Science 2020-11-23 Paritosh Verma

Networks are a natural representation of complex systems across the sciences, and higher-order dependencies are central to the understanding and modeling of these systems. However, in many practical applications such as online social…

Social and Information Networks · Computer Science 2020-10-28 Nesreen K. Ahmed , Nick Duffield

We initiate the study of biological neural networks from the perspective of streaming algorithms. Like computers, human brains suffer from memory limitations which pose a significant obstacle when processing large scale and dynamically…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-06 Yael Hitron , Cameron Musco , Merav Parter

In recent years, there has been a growing interest in games on graphs within the research community, fueled by their relevance in applications such as economics, politics, and epidemiology. This paper aims to comprehensively detail the…

Computer Science and Game Theory · Computer Science 2024-06-11 Christian Giannetti

Emerging applications of machine learning in numerous areas involve continuous gathering of and learning from streams of data. Real-time incorporation of streaming data into the learned models is essential for improved inference in these…

Machine Learning · Computer Science 2020-12-01 Matthew Nokleby , Haroon Raja , Waheed U. Bajwa

Estimating the number of subgraphs in data streams is a fundamental problem that has received great attention in the past decade. In this paper, we give improved streaming algorithms for approximately counting the number of occurrences of…

Data Structures and Algorithms · Computer Science 2022-03-29 Hendrik Fichtenberger , Pan Peng

We develop online graph learning algorithms from streaming network data. Our goal is to track the (possibly) time-varying network topology, and effect memory and computational savings by processing the data on-the-fly as they are acquired.…

Signal Processing · Electrical Eng. & Systems 2020-07-08 Rasoul Shafipour , Gonzalo Mateos

In the recent years, the scale of graph datasets has increased to such a degree that a single machine is not capable of efficiently processing large graphs. Thereby, efficient graph partitioning is necessary for those large graph…

Data Structures and Algorithms · Computer Science 2019-02-06 Md Anwarul kaium Patwary , Saurabh Garg , Byeong Kang

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

Graph learning is the fundamental task of estimating unknown graph connectivity from available data. Typical approaches assume that not only is all information available simultaneously but also that all nodes can be observed. However, in…

Machine Learning · Computer Science 2024-09-16 Andrei Buciulea , Madeline Navarro , Samuel Rey , Santiago Segarra , Antonio G. Marques

The pattern matching problem with swaps is to find all occurrences of a pattern in a text while allowing the pattern to swap adjacent symbols. The goal is to design fast matching algorithm that takes advantage of the bit parallelism of…

Data Structures and Algorithms · Computer Science 2018-09-26 Václav Blažej , Ondřej Suchý , Tomáš Valla