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We consider a decentralised multi-access algorithm, motivated primarily by the control of transmissions in a wireless network. For a finite single-hop network with arbitrary interference constraints we prove stochastic stability under the…

Information Theory · Computer Science 2019-06-03 Seva Shneer , Alexander Stolyar

A self-stabilizing protocol has the capacity to recover a legitimate behavior whatever is its initial state. The majority of works in self-stabilization assume a shared memory model or a communication using reliable and FIFO channels. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-04-21 Shlomi Dolev , Swan Dubois , Maria Potop-Butucaru , Sébastien Tixeuil

We study distributed computation in synchronous dynamic networks where an omniscient adversary controls the unidirectional communication links. Its behavior is modeled as a sequence of directed graphs representing the active (i.e. timely)…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-20 Martin Biely , Peter Robinson , Ulrich Schmid

We extend the concept of monotonic searchability for self-stabilizing systems from one to multiple dimensions. A system is self-stabilizing if it can recover to a legitimate state from any initial illegal state. These kind of systems are…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-31 Michael Feldmann , Christina Kolb , Christian Scheideler

Message propagation is fundamental in constructing distributed systems upon sparsely connected communication networks. For providing easy message propagation primitives, the mutual-exclusive propagation (MEP) of one-bit messages is…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-08 Shaolin Yu , Jihong Zhu , Jiali Yang

The maximal matching problem has received considerable attention in the self-stabilizing community. Previous work has given different self-stabilizing algorithms that solves the problem for both the adversarial and fair distributed daemon,…

Data Structures and Algorithms · Computer Science 2016-08-14 Fredrik Manne , Morten Mjelde , Laurence Pilard , Sébastien Tixeuil

This paper addresses the cornerstone family of \emph{local problems} in distributed computing, and investigates the curious gap between randomized and deterministic solutions under bandwidth restrictions. Our main contribution is in…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-09 Keren Censor-Hillel , Merav Parter , Gregory Schwartzman

We consider snap-stabilizing algorithms in anonymous networks. Self-stabilizing algorithms are well known fault tolerant algorithms : a self-stabilizing algorithm will eventually recover from arbitrary transient faults. On the other hand,…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-14 Emmanuel Godard

Most of today's distributed machine learning systems assume {\em reliable networks}: whenever two machines exchange information (e.g., gradients or models), the network should guarantee the delivery of the message. At the same time, recent…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-17 Chen Yu , Hanlin Tang , Cedric Renggli , Simon Kassing , Ankit Singla , Dan Alistarh , Ce Zhang , Ji Liu

Self-stabilization is a versatile methodology in the design of fault-tolerant distributed algorithms for transient faults. A self-stabilizing system automatically recovers from any kind and any finite number of transient faults. This…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-07 Hirotsugu Kakugawa , Sayaka Kamei , Masahiro Shibata , Fukuhito Ooshita

Overlay networks present an interesting challenge for fault-tolerant computing. Many overlay networks operate in dynamic environments (e.g. the Internet), where faults are frequent and widespread, and the number of processes in a system may…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-05 Andrew Berns

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

A self-stabilizing algorithm for the minimal $\alpha$-dominating set is proposed in this paper. The $\alpha$-domination parameter has not used before in self-stabilization paradigm. Using an arbitrary graph with $n$ nodes and $m$ edges, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-03 Badreddine Benreguia , Hamouma Moumen

In this paper we consider prioritized maximal scheduling in multi-hop wireless networks, where the scheduler chooses a maximal independent set greedily according to a sequence specified by certain priorities. We show that if the probability…

Information Theory · Computer Science 2009-01-20 Qiao Li , Rohit Negi

We propose a way to transform synchronous distributed algorithms solving locally greedy and mendable problems into self-stabilizing algorithms in anonymous networks. Mendable problems are a generalization of greedy problems where any…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-20 Johanne Cohen , Laurence Pilard , Mikaël Rabie , Jonas Sénizergues

This paper considers the problem of designing a dynamical system to solve constrained optimization problems in a distributed way and in an anytime fashion (i.e., such that the feasible set is forward invariant). For problems with separable…

Optimization and Control · Mathematics 2023-09-07 Pol Mestres , Jorge Cortés

This paper derives a somewhat surprising but interesting enough result on the stabilizability of discrete-time parameterized uncertain systems. Contrary to an intuition, it shows that the growth rate of a discrete-time stabilizable system…

Optimization and Control · Mathematics 2018-10-19 Zhaobo Liu , Chanying Li

We study a simple random process that computes a maximal independent set (MIS) on a general $n$-vertex graph. Each vertex has a binary state, black or white, where black indicates inclusion into the MIS. The vertex states are arbitrary…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-13 George Giakkoupis , Isabella Ziccardi

Self-stabilization ensures that, after any transient fault, the system recovers in a finite time and eventually exhibits a correct behaviour. Speculation consists in guaranteeing that the system satisfies its requirements for any execution…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-04-26 Swan Dubois , Rachid Guerraoui

The stable allocation problem is one of the broadest extensions of the well-known stable marriage problem. In an allocation problem, edges of a bipartite graph have capacities and vertices have quotas to fill. Here we investigate the case…

Discrete Mathematics · Computer Science 2014-07-14 Agnes Cseh , Martin Skutella