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Related papers: Distributed Corruption Detection in Networks

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Detecting specific structures in a network has been a very active theme of research in distributed computing for at least a decade. In this paper, we start the study of subgraph detection from the perspective of local certification.…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-07 Nicolas Bousquet , Linda Cook , Laurent Feuilloley , Théo Pierron , Sébastien Zeitoun

A drawback of the classic approach for complexity analysis of distributed graph problems is that it mostly informs about the complexity of notorious classes of ``worst case'' graphs. Algorithms that are used to prove a tight (existential)…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-12 Philipp Schneider

Vertex coloring and multicoloring of graphs are a well known subject in graph theory, as well as their applications. In vertex multicoloring, each vertex is assigned some subset of a given set of colors. Here we propose a new kind of vertex…

Combinatorics · Mathematics 2018-09-13 Tanja Vojković , Damir Vukičević , Vinko Zlatić

We study the NP-hard Fair Connected Districting problem recently proposed by Stoica et al. [AAMAS 2020]: Partition a vertex-colored graph into k connected components (subsequently referred to as districts) so that in every district the most…

Computer Science and Game Theory · Computer Science 2022-04-11 Niclas Boehmer , Tomohiro Koana , Rolf Niedermeier

Graphlets are subgraphs rooted at a fixed vertex. The number of occurrences of graphlets aligned to a particular vertex, called graphlet degree sequence (gds), gives a topological description of the surrounding of the analyzed vertex.…

Combinatorics · Mathematics 2026-01-01 David Hartman , Aneta Pokorná , Daniel Trlifaj , Lluís Vena

Many complex engineering systems admit bidirectional and linear couplings between their agents. Blind and passive methods to identify such influence pathways/couplings from data are central to many applications. However, dynamically related…

Systems and Control · Electrical Eng. & Systems 2020-09-29 Venkat Ram Subramanian , Deepjyoti Deka , Saurav Talukdar , Andy Lamperski , Murti Salapaka

While Neural Networks (NNs) have surpassed human accuracy in image classification on ImageNet, they often lack robustness against image corruption, i.e., corruption robustness. Yet such robustness is seemingly effortless for human…

Computer Vision and Pattern Recognition · Computer Science 2024-03-01 Huakun Shen , Boyue Caroline Hu , Krzysztof Czarnecki , Lina Marsso , Marsha Chechik

We study corruption as a generalized epidemic process on the graph of social relationships. The main difference to classical epidemic processes is the strong nonlinear dependence of the transmission probability on the local density of…

Physics and Society · Physics 2007-05-23 Ph. Blanchard , A. Krueger , T. Krueger , P. Martin

Information diffusion, spreading of infectious diseases, and spreading of rumors are fundamental processes occurring in real-life networks. In many practical cases, one can observe when nodes become infected, but the underlying network,…

Social and Information Networks · Computer Science 2022-03-31 Liudmila Prokhorenkova , Alexey Tikhonov , Nelly Litvak

This paper introduces a new class of efficient inter connection networks called as M-graphs for large multi-processor systems.The concept of M-matrix and M-graph is an extension of Mn-matrices and Mn-graphs.We analyze these M-graphs…

Information Theory · Computer Science 2007-07-13 R. N. Mohan , P. T. Kulkarni

Robustness is a fundamental property of machine learning classifiers required to achieve safety and reliability. In the field of adversarial robustness of image classifiers, robustness is commonly defined as the stability of a model to all…

Machine Learning · Computer Science 2024-05-28 Georg Siedel , Weijia Shao , Silvia Vock , Andrey Morozov

The online dominating set problem is an online variant of the minimum dominating set problem, which is one of the most important NP-hard problems on graphs. This problem is defined as follows: Given an undirected graph $G = (V, E)$, in…

Data Structures and Algorithms · Computer Science 2017-11-01 Koji M. Kobayashi

Network Diversion is a graph problem that has been extensively studied in both the network-analysis and operations-research communities as a measure of how robust a network is against adversarial disruption. This problem is especially well…

Data Structures and Algorithms · Computer Science 2025-02-25 Matthias Bentert , Pål Grønås Drange , Fedor V. Fomin , Steinar Simonnes

Uncertain graphs have been widely used to model complex linked data in many real-world applications, such as guaranteed-loan networks and power grids, where a node or edge may be associated with a probability. In these networks, a node…

Computational Engineering, Finance, and Science · Computer Science 2026-02-27 Dawei Cheng , Chen Chen , Xiaoyang Wang , Sheng Xiang

Motivated by the increasing need for fast processing of large-scale graphs, we study a number of fundamental graph problems in a message-passing model for distributed computing, called $k$-machine model, where we have $k$ machines that…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-10 Khalid Hourani , Hartmut Klauck , William K. Moses , Danupon Nanongkai , Gopal Pandurangan , Peter Robinson , Michele Scquizzato

Detecting the origin of information or infection spread in networks is a fundamental challenge with applications in misinformation tracking, epidemiology, and beyond. We study the multi-source detection problem: given snapshot observations…

Social and Information Networks · Computer Science 2025-12-02 Xingchao Jian , Purui Zhang , Lan Tian , Feng Ji , Wenfei Liang , Wee Peng Tay , Bihan Wen , Felix Krahmer

\textit{Fair division} of resources among competing agents is a fundamental problem in computational social choice and economic game theory. It has been intensively studied on various kinds of items (\textit{divisible} and…

Computer Science and Game Theory · Computer Science 2023-10-03 Harmender Gahlawat , Meirav Zehavi

When dealing with spreading processes on networks it can be of the utmost importance to test the reliability of data and identify potential unobserved spreading paths. In this paper we address these problems and propose methods for hidden…

Physics and Society · Physics 2021-08-18 Łukasz G. Gajewski , Jan Chołoniewski , Mateusz Wilinski

We study the directed maximum common edge subgraph problem (DMCES) for the class of directed graphs that are finite, weakly connected, oriented, and simple. We use DMCES to define a metric on partially ordered sets that can be represented…

Data Structures and Algorithms · Computer Science 2020-12-07 Robert Nerem , Peter Crawford-Kahrl , Bree Cummins , Tomas Gedeon

One of the fundamental and most-studied algorithmic problems in distributed computing on networks is graph coloring, both in bounded-degree and in general graphs. Recently, the study of this problem has been extended in two directions.…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-14 Nicolas Bousquet , Laurent Feuilloley , Marc Heinrich , Mikaël Rabie