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Related papers: On Fault Tolerant Feedback Vertex Set

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We investigate preprocessing for vertex-subset problems on graphs. While the notion of kernelization, originating in parameterized complexity theory, is a formalization of provably effective preprocessing aimed at reducing the total…

Data Structures and Algorithms · Computer Science 2022-07-04 Benjamin Merlin Bumpus , Bart M. P. Jansen , Jari J. H. de Kroon

The paper presents an algorithm for minimum vertex cover problem, which is an NP-Complete problem. The algorithm computes a minimum vertex cover of each input simple graph. Tested by the attached MATLAB programs, Stage 1 of the algorithm is…

Discrete Mathematics · Computer Science 2016-10-30 Gang Hu

In this paper, we consider the problem of finding a regression in a version control system (VCS), such as git. The set of versions is modelled by a Directed Acyclic Graph (DAG) where vertices represent versions of the software, and arcs are…

Discrete Mathematics · Computer Science 2024-10-03 Julien Courtiel , Paul Dorbec , Romain Lecoq

With the increasing deployment of deep neural networks (DNNs) in terrestrial and aerospace safety-critical applications, system reliability has emerged as a co-equal design metric alongside computational efficiency. Algorithm-based fault…

Cryptography and Security · Computer Science 2025-04-22 Xinghua Xue , Cheng Liu , Feng Min , Tao Luo , Yinhe Han

Model-based fault-tolerant control (FTC) often consists of two distinct steps: fault detection & isolation (FDI), and fault accommodation. In this work we investigate posing fault-tolerant control as a single Bayesian inference problem.…

Systems and Control · Electrical Eng. & Systems 2022-04-19 Mohamed Baioumy , William Hartemink , Riccardo M. G. Ferrari , Nick Hawes

Typically, fault-tolerant operations and code concatenation are reserved for quantum error correction due to their resource overhead. Here, we show that fault tolerant operations have a large impact on the performance of symmetry based…

Quantum Physics · Physics 2024-07-19 Alvin Gonzales , Anjala M Babu , Ji Liu , Zain Saleem , Mark Byrd

This short paper describes early experiments to validate the capabilities of a component-based platform to observe and control a software architecture in the small. This is part of a whole process for resilient computing, i.e. targeting the…

Software Engineering · Computer Science 2012-04-06 Miruna Stoicescu , Jean-Charles Fabre , Matthieu Roy

One of the most appreciated features of Fault Trees (FTs) is their simplicity, making them fit into industrial processes. As such processes evolve in time, considering new aspects of large modern systems, modelling techniques based on FTs…

Machine Learning · Computer Science 2024-03-21 Roberta De Fazio , Stefano Marrone , Laura Verde , Vincenzo Reccia , Paolo Valletta

In the Feedback Vertex Set problem, one is given an undirected graph $G$ and an integer $k$, and one needs to determine whether there exists a set of $k$ vertices that intersects all cycles of $G$ (a so-called feedback vertex set). Feedback…

Data Structures and Algorithms · Computer Science 2019-11-04 Jason Li , Jesper Nederlof

Resilient computation in all-to-all-communication models has attracted tremendous attention over the years. Most of these works assume the classical faulty model which restricts the total number of corrupted edges (or vertices) by some…

Data Structures and Algorithms · Computer Science 2025-05-12 Orr Fischer , Merav Parter

We initiate the study on fault-tolerant spanners in hypergraphs and develop fast algorithms for their constructions. A fault-tolerant (FT) spanner preserves approximate distances under network failures, often used in applications like…

Data Structures and Algorithms · Computer Science 2026-03-10 Jialin He , Nicholas Popescu , Chunjiang Zhu

In this work, we consider adversarial crash faults of nodes in the network constructors model $[$Michail and Spirakis, 2016$]$. We first show that, without further assumptions, the class of graph languages that can be (stably) constructed…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-21 Othon Michail , Paul G. Spirakis , Michail Theofilatos

The virtual reference feedback tuning (VRFT) is a non-iterative data-driven (DD) method employed to tune a controller's parameters aiming to achieve a prescribed closed-loop performance. In its most common formulation, the parameters of a…

Systems and Control · Electrical Eng. & Systems 2020-09-16 Cristiane Silva Garcia , Alexandre Sanfelici Bazanella

For a collection $\mathcal{F}$ of graphs, the $\mathcal{F}$-\textsc{Contraction} problem takes a graph $G$ and an integer $k$ as input and decides if $G$ can be modified to some graph in $\mathcal{F}$ using at most $k$ edge contractions.…

Data Structures and Algorithms · Computer Science 2025-05-21 R. Krithika , Pranabendu Misra , Prafullkumar Tale

We consider a new problem of designing a network with small $s$-$t$ effective resistance. In this problem, we are given an undirected graph $G=(V,E)$, two designated vertices $s,t \in V$, and a budget $k$. The goal is to choose a subgraph…

Data Structures and Algorithms · Computer Science 2019-04-09 Pak Hay Chan , Lap Chi Lau , Aaron Schild , Sam Chiu-wai Wong , Hong Zhou

The NP-complete problem Feedback Vertex Set is that of deciding whether or not it is possible, for a given integer $k\geq 0$, to delete at most $k$ vertices from a given graph so that what remains is a forest. The variant in which the…

Data Structures and Algorithms · Computer Science 2017-08-01 Marthe Bonamy , Konrad K. Dabrowski , Carl Feghali , Matthew Johnson , Daniel Paulusma

The paper addresses the issue of reliability of complex embedded control systems in the safety-critical environment. In this paper, we propose a novel approach to design controller that (i) guarantees the safety of nonlinear physical…

Systems and Control · Computer Science 2018-12-11 Pushpak Jagtap , Fardin Abdi , Matthias Rungger , Majid Zamani , Marco Caccamo

In this paper we investigate formal verification problems for Neural Network computations. Of central importance will be various robustness and minimization problems such as: Given symbolic specifications of allowed inputs and outputs in…

Artificial Intelligence · Computer Science 2024-03-21 Adrian Wurm

In this paper, we study the problem of delay minimization in NFV-based networks. In such systems, the ultimate goal of any request is to compute a sequence of functions in the network, where each function can be computed at only a specific…

Information Theory · Computer Science 2018-09-12 Behrooz Tahmasebi , Mohammad Ali Maddah-Ali , Saeedeh Parsaeefard , Babak Hossein Khalaj

The aim of this paper is to propose an alternative method to solve a Fault Tolerant Control problem. The model is a linear system affected by a disturbance term: this represents a large class of technological faulty processes. The goal is…

Optimization and Control · Mathematics 2010-11-15 Sophie M. Fosson