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Complex networked systems can be modeled as graphs with nodes representing the agents and links describing the dynamic coupling between them. Previous work on network identification has shown that the network structure of linear…

Systems and Control · Electrical Eng. & Systems 2021-02-15 Venkat Ram Subramanian , Andrew Lamperski , Murti V. Salapaka

Complex networks are everywhere. They appear for example in the form of biological networks, social networks, or computer networks and have been studied extensively. Efficient algorithms to solve problems on complex networks play a central…

Discrete Mathematics · Computer Science 2020-06-26 Jan Dreier , Philipp Kuinke , Peter Rossmanith

We present an algorithm for distributed networks to efficiently find a small vertex cut in the CONGEST model. Given a positive integer $\kappa$, our algorithm can, with high probability, either find $\kappa$ vertices whose removal…

Data Structures and Algorithms · Computer Science 2023-02-24 Yonggang Jiang , Sagnik Mukhopadhyay

Networks and data supported on graphs have become ubiquitous in the sciences and engineering. This paper studies the 'blind' community detection problem, where we seek to infer the community structure of a graph model given the observation…

Social and Information Networks · Computer Science 2020-10-28 T. Mitchell Roddenberry , Michael T. Schaub , Hoi-To Wai , Santiago Segarra

Graphs are a powerful way to model interactions and relationships in data from a wide variety of application domains. In this setting, entities represented by vertices at the "center" of the graph are often more important than those…

Social and Information Networks · Computer Science 2014-11-06 Michael P. O'Brien , Blair D. Sullivan

We answer a question of Alon, Mossel, and Pemantle about the corruption detection model on graphs in the noisy setting.

Combinatorics · Mathematics 2019-12-03 Ryan Alweiss

Identifying the connected components of a graph, apart from being a fundamental problem with countless applications, is a key primitive for many other algorithms. In this paper, we consider this problem in parallel settings. Particularly,…

Data Structures and Algorithms · Computer Science 2020-03-13 Soheil Behnezhad , Laxman Dhulipala , Hossein Esfandiari , Jakub Łącki , Vahab Mirrokni

Detection of malicious behavior in a large network is a challenging problem for machine learning in computer security, since it requires a model with high expressive power and scalable inference. Existing solutions struggle to achieve this…

Machine Learning · Computer Science 2024-08-08 Simon Mandlik , Tomas Pevny , Vaclav Smidl , Lukas Bajer

Deep learning (DL) models are widely used in real-world applications but remain vulnerable to distribution shifts, especially due to weather and lighting changes. Collecting diverse real-world data for testing the robustness of DL models is…

Computer Vision and Pattern Recognition · Computer Science 2025-05-09 Shashank Agnihotri , David Schader , Nico Sharei , Mehmet Ege Kaçar , Margret Keuper

Many real-world networks exhibit a multicores-periphery structure, with densely connected vertices in multiple cores surrounded by a general periphery of sparsely connected vertices. Identification of the multicores-periphery structure can…

Social and Information Networks · Computer Science 2019-05-08 Bowen Yan , Jianxi Luo

Inspired by the increasing interest in self-organizing social opportunistic networks, we investigate the problem of distributed detection of unknown communities in dynamic random graphs. As a formal framework, we consider the dynamic…

Social and Information Networks · Computer Science 2014-07-10 Andrea Clementi , Miriam di Ianni , Giorgio Gambosi , Emanuele Natale , Riccardo Silvestri

This paper develops and analyzes optimization models for rapid detection of viruses in large contact networks. In the model, a virus spreads in a stochastic manner over an undirected connected graph, under various assumptions on the spread…

Optimization and Control · Mathematics 2021-06-16 Sudesh K. Agrawal , John J. Hasenbein

We consider a game in which a cop searches for a moving robber on a connected graph using distance probes, which is a slight variation on one introduced by Seager. Carragher, Choi, Delcourt, Erickson and West showed that for any $n$-vertex…

Combinatorics · Mathematics 2017-11-23 John Haslegrave , Richard A. B. Johnson , Sebastian Koch

A detection system, modeled in a graph, is composed of "detectors" positioned at a subset of vertices in order to uniquely locate an ``intruder" at any vertex. \emph{Identifying codes} use detectors that can sense the presence or absence of…

Combinatorics · Mathematics 2021-12-06 Devin C. Jean , Suk J. Seo

We establish that every monadic second-order logic (MSO) formula on graphs with bounded treedepth is decidable in a constant number of rounds within the CONGEST model. To our knowledge, this marks the first meta-theorem regarding…

Data Structures and Algorithms · Computer Science 2024-05-07 Fedor V. Fomin , Pierre Fraigniaud , Pedro Montealegre , Ivan Rapaport , Ioan Todinca

This paper presents an analytical framework to model fault-tolerance in unstructured peer-to-peer overlays, represented as complex networks. We define a distributed protocol peers execute for managing the overlay and reacting to node…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-01-09 Stefano Ferretti

Graph-based fraud detection has heretofore received considerable attention. Owning to the great success of Graph Neural Networks (GNNs), many approaches adopting GNNs for fraud detection has been gaining momentum. However, most existing…

Machine Learning · Computer Science 2022-10-25 Zhixun Li , Dingshuo Chen , Qiang Liu , Shu Wu

Networks in nature possess a remarkable amount of structure. Via a series of data-driven discoveries, the cutting edge of network science has recently progressed from positing that the random graphs of mathematical graph theory might…

Physics and Society · Physics 2008-07-14 Natali Gulbahce , Sune Lehmann

When designing a diagnostic model for a clinical application, it is crucial to guarantee the robustness of the model with respect to a wide range of image corruptions. Herein, an easy-to-use benchmark is established to evaluate how deep…

Computer Vision and Pattern Recognition · Computer Science 2022-07-01 Yunlong Zhang , Yuxuan Sun , Honglin Li , Sunyi Zheng , Chenglu Zhu , Lin Yang

We introduce a generalization of the well known graph (vertex) coloring problem, which we call the problem of \emph{component coloring of graphs}. Given a graph, the problem is to color the vertices using minimum number of colors so that…

Discrete Mathematics · Computer Science 2012-11-06 Ajit Diwan , Soumitra Pal , Abhiram Ranade