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Distributed applications are commonly based on overlay networks interconnecting their sites so that they can exchange information. For these overlay networks to preserve their functionality, they should be able to recover from various…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-22 Christian Scheideler , Alexander Setzer , Thim Strothmann

For overlay networks, the ability to recover from a variety of problems like membership changes or faults is a key element to preserve their functionality. In recent years, various self-stabilizing overlay networks have been proposed that…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-09-29 Christian Scheideler , Alexander Setzer , Thim Strothmann

Searching for other participants is one of the most important operations in a distributed system. We are interested in topologies in which it is possible to route a packet in a fixed number of hops until it arrives at its destination. Given…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-12-18 Michael Feldmann , Christian Scheideler

Self-stabilization for non-masking fault-tolerant distributed system has received considerable research interest over the last decade. In this paper, we propose a self-stabilizing algorithm for 2-edge-connectivity and 2-vertex-connectivity…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-26 Abusayeed Saifullah

Self-stabilization is a general paradigm to provide forward recovery capabilities to distributed systems and networks. Intuitively, a protocol is self-stabilizing if it is able to recover without external intervention from any catastrophic…

Data Structures and Algorithms · Computer Science 2008-11-25 Stéphane Devismes , Toshimitsu Masuzawa , Sébastien Tixeuil

Self-stabilization is a versatile fault-tolerance approach that characterizes the ability of a system to eventually resume a correct behavior after any finite number of transient faults. In this paper, we propose a self-stabilizing reset…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-23 Stéphane Devismes , Colette Johnen

Overlay networks, where nodes communicate with neighbors over logical links consisting of zero or more physical links, have become an important part of modern networking. From data centers to IoT devices, overlay networks are used to…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-30 Andrew Berns

In this paper, we resolve a long-standing question in self-stabilization by demonstrating that it is indeed possible to construct a spanning tree in a semi-uniform network using constant memory per node. We introduce a self-stabilizing…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-13 Lélia Blin , Franck Petit , Sébastien Tixeuil

A distributed algorithm is self-stabilizing if after faults and attacks hit the system and place it in some arbitrary global state, the system recovers from this catastrophic situation without external intervention in finite time. In this…

Data Structures and Algorithms · Computer Science 2009-04-20 Toshimitsu Masuzawa , Sébastien Tixeuil

From data centers to IoT devices to Internet-based applications, overlay networks have become an important part of modern computing. Many of these overlay networks operate in fragile environments where processes are susceptible to faults…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-30 Andrew Berns

In this article, we focus on extending the notion of lattice linearity to self-stabilizing programs. Lattice linearity allows a node to execute its actions with old information about the state of other nodes and still preserve correctness.…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-19 Arya Tanmay Gupta , Sandeep S Kulkarni

A distributed algorithm is self-stabilizing if after faults and attacks hit the system and place it in some arbitrary global state, the systems recovers from this catastrophic situation without external intervention in finite time.…

Data Structures and Algorithms · Computer Science 2009-09-29 Samuel Bernard , Stéphane Devismes , Maria Gradinariu Potop-Butucaru , Sébastien Tixeuil

Monotone systems, also known as order-preserving or cooperative systems, are prevalent in models of engineering applications such as transportation and biological networks. In this paper, we investigate the problem of finding a control…

Systems and Control · Computer Science 2018-07-30 Sadra Sadraddini , Calin Belta

The problem of searchability in decentralized complex networks is of great importance in computer science, economy and sociology. We present a formalism that is able to cope simultaneously with the problem of search and the congestion…

Disordered Systems and Neural Networks · Physics 2009-11-07 R. Guimera , A. Arenas , A. Diaz-Guilera , F. Vega-Redondo , A. Cabrales

We present a uniform self-stabilizing algorithm, which solves the problem of distributively finding a minimum diameter spanning tree of an arbitrary positively real-weighted graph. Our algorithm consists in two stages of stabilizing…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-12-12 Franck Butelle , Christian Lavault , Marc Bui

This paper proposes methods for identification of large-scale networked systems with guarantees that the resulting model will be contracting -- a strong form of nonlinear stability -- and/or monotone, i.e. order relations between states are…

Systems and Control · Electrical Eng. & Systems 2021-08-02 Max Revay , Jack Umenberger , Ian R. Manchester

In this paper we investigate the problem of searching monotone multi-dimensional arrays. We generalize Linial and Saks' search algorithm \cite{LS1} for monotone 3-dimensional arrays to $d$-dimensions with $d\geq 4$. Our new search algorithm…

Data Structures and Algorithms · Computer Science 2007-05-23 Yongxi Cheng , Xiaoming Sun , Yiqun Lisa Yin

In the context of large-scale networks, the consideration of faults is an evident necessity. This document is focussing on the self-stabilizing approach which aims at conceiving algorithms "repairing themselves" in case of transient faults,…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-10-10 Lélia Blin

We investigate the stabilization of unstable multidimensional partially observed single-sensor and multi-sensor linear systems driven by unbounded noise and controlled over discrete noiseless channels under fixed-rate information…

Optimization and Control · Mathematics 2012-09-21 Andrew P. Johnston , Serdar Yüksel

In this paper, we formalize design patterns, commonly used in the self-stabilizing area, to obtain general statements regarding both correctness and time complexity guarantees. Precisely, we study a general class of algorithms designed for…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-08 Karine Altisen , Stéphane Devismes , Anaïs Durand
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