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Given a large social or information network, how can we partition the vertices into sets (i.e., colors) such that no two vertices linked by an edge are in the same set while minimizing the number of sets used. Despite the obvious practical…

Social and Information Networks · Computer Science 2014-08-27 Ryan A. Rossi , Nesreen K. Ahmed

This work considers the problem of finding analytical expressions for the expected values of dis- tributed computing performance metrics when the underlying communication network has a complex structure. Through active probing tests a real…

Adaptation and Self-Organizing Systems · Physics 2013-11-18 Francisco Prieto-Castrillo , Antonio Astillero , María Botón-Fernández

In distributed networks, it is often useful for the nodes to be aware of dense subgraphs, e.g., such a dense subgraph could reveal dense subtructures in otherwise sparse graphs (e.g. the World Wide Web or social networks); these might…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-08-08 Atish Das Sarma , Ashwin Lall , Danupon Nanongkai , Amitabh Trehan

In the Dominated Cluster Deletion problem, we are given an undirected graph $G$ and integers $k$ and $d$ and the question is to decide whether there exists a set of at most $k$ vertices whose removal results in a graph in which each…

Discrete Mathematics · Computer Science 2025-08-20 Nicole Schirrmacher , Sebastian Siebertz , Alexandre Vigny

In this paper we present distributed testing algorithms of graph properties in the CONGEST-model [Censor-Hillel et al. 2016]. We present one-sided error testing algorithms in the general graph model. We first describe a general procedure…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-16 Guy Even , Reut Levi , Moti Medina

A vast variety of biological, social, and economical networks shows topologies drastically differing from random graphs; yet the quantitative characterization remains unsatisfactory from a conceptual point of view. Motivated from the…

Molecular Networks · Quantitative Biology 2010-03-11 Jens Christian Claussen

The distributed (Delta + 1)-coloring problem is one of most fundamental and well-studied problems of Distributed Algorithms. Starting with the work of Cole and Vishkin in 86, there was a long line of gradually improving algorithms…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-12-26 Leonid Barenboim , Michael Elkin

An important problem in networked systems is detection and removal of suspected malicious nodes. A crucial consideration in such settings is the uncertainty endemic in detection, coupled with considerations of network connectivity, which…

Machine Learning · Computer Science 2019-02-01 Sixie Yu , Yevgeniy Vorobeychik

In this paper we establish rigorous benchmarks for image classifier robustness. Our first benchmark, ImageNet-C, standardizes and expands the corruption robustness topic, while showing which classifiers are preferable in safety-critical…

Machine Learning · Computer Science 2019-04-30 Dan Hendrycks , Thomas G. Dietterich

A prominent tool in many problems involving metric spaces is a notion of randomized low-diameter decomposition. Loosely speaking, $\beta$-decomposition refers to a probability distribution over partitions of the metric into sets of low…

Data Structures and Algorithms · Computer Science 2016-09-29 Lior Kamma , Robert Krauthgamer

Contrary to the sequential world, the processes involved in a distributed system do not necessarily know when a computation is globally finished. This paper investigates the problem of the detection of the termination of local computations.…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-01-20 Emmanuel Godard , Yves Métivier , Gerard Tel

Community detection in graphs has many important and fundamental applications including in distributed systems, compression, image segmentation, divide-and-conquer graph algorithms such as nested dissection, document and word clustering,…

Social and Information Networks · Computer Science 2019-06-18 Ryan A. Rossi , Nesreen K. Ahmed , Eunyee Koh , Sungchul Kim

Coordination in a large number of networked robots is a challenging task, especially when robots are constantly moving around the environment and there are malicious attacks within the network. Various approaches in the literature exist for…

Robotics · Computer Science 2023-04-04 Matthew Cavorsi , Frederik Mallmann-Trenn , David Saldaña , Stephanie Gil

This paper addresses the problem of distributed detection in fixed and switching networks. A network of agents observe partially informative signals about the unknown state of the world. Hence, they collaborate with each other to identify…

Systems and Control · Computer Science 2016-01-01 Shahin Shahrampour , Alexander Rakhlin , Ali Jadbabaie

Leak detection in urban water distribution networks (WDNs) is challenging given their scale, complexity, and limited instrumentation. We present an algorithm for leak detection in WDNs, which involves making additional flow measurements…

Data Structures and Algorithms · Computer Science 2016-06-07 Aravind Rajeswaran , Sridharakumar Narasimhan , Shankar Narasimhan

In general, anomaly detection is the problem of distinguishing between normal data samples with well defined patterns or signatures and those that do not conform to the expected profiles. Financial transactions, customer reviews, social…

Machine Learning · Computer Science 2022-06-10 Paul Irofti , Andrei Patrascu , Andra Baltoiu

Banking fraud causes billion-dollar losses for banks worldwide. In fraud detection, graphs help understand complex transaction patterns and discovering new fraud schemes. This work explores graph patterns in a real-world transaction dataset…

Social and Information Networks · Computer Science 2021-08-11 Xavier Fontes , David Aparício , Maria Inês Silva , Beatriz Malveiro , João Tiago Ascensão , Pedro Bizarro

How to identify influential nodes in social networks is of theoretical significance, which relates to how to prevent epidemic spreading or cascading failure, how to accelerate information diffusion, and so on. In this Letter, we make an…

Physics and Society · Physics 2015-06-23 Xiang-Yu Zhao , Bin Huang , Ming Tang , Hai-Feng Zhang , Duan-Bing Chen

This paper is centered on the complexity of graph problems in the well-studied LOCAL model of distributed computing, introduced by Linial [FOCS '87]. It is widely known that for many of the classic distributed graph problems (including…

Data Structures and Algorithms · Computer Science 2017-10-31 Mohsen Ghaffari , Fabian Kuhn , Yannic Maus

Density matrices of graphs are combinatorial laplacians normalized to have trace one (Braunstein \emph{et al.} \emph{Phys. Rev. A,} \textbf{73}:1, 012320 (2006)). If the vertices of a graph are arranged as an array, then its density matrix…

Computational Complexity · Computer Science 2008-07-03 Roland Hildebrand , Stefano Mancini , Simone Severini
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