Making local algorithms efficiently self-stabilizing in arbitrary asynchronous environments

S Devismes, D Ilcinkas, C Johnen, F Mazoit - arXiv preprint arXiv …, 2023 - arxiv.org
This paper deals with the trade-off between time, workload, and versatility in self-
stabilization, a general and lightweight fault-tolerant concept in distributed computing. In this …

A 4n-move self-stabilizing algorithm for the minimal dominating set problem using an unfair distributed daemon

WY Chiu, C Chen, SY Tsai - Information Processing Letters, 2014 - Elsevier
A distributed system is self-stabilizing if, regardless of its initial state, the system is
guaranteed to reach a legitimate (ie, correct) state in finite time. In 2007, Turau proposed the …

Self-stabilizing capacitated vertex cover algorithms for internet-of-things-enabled wireless sensor networks

Y Yigit, O Dagdeviren, M Challenger - Sensors, 2022 - mdpi.com
Wireless sensor networks (WSNs) achieving environmental sensing are fundamental
communication layer technologies in the Internet of Things. Battery-powered sensor nodes …

Modeling class operations in B: application to UML behavioral diagrams

H Ledang, J Souquieres - Proceedings 16th Annual …, 2001 - ieeexplore.ieee.org
An appropriate approach for translating UML to B formal specifications allows one to use
UML and B jointly in a unified, practical and rigorous software development. We formally …

Efficient self-stabilizing algorithms for minimal total k-dominating sets in graphs

Y Belhoul, S Yahiaoui, H Kheddouci - Information Processing Letters, 2014 - Elsevier
We propose the first polynomial self-stabilizing distributed algorithm for the minimal total
dominating set problem in an arbitrary graph. Then, we generalize the proposed algorithm …

Distributed algorithm for the maximal 2-packing in geometric outerplanar graphs

JA Trejo-Sánchez, JA Fernández-Zepeda - Journal of Parallel and …, 2014 - Elsevier
In this paper, we present a deterministic distributed algorithm that computes the maximal 2-
packing set in a geometric outerplanar graph. In a geometric outerplanar graph, all the …

Self-stabilizing domination algorithms

ST Hedetniemi - Structures of Domination in Graphs, 2021 - Springer
In this chapter, we introduce the self-stabilizing algorithm model and present several
definitive examples that illustrate the simplicity and elegance of this algorithmic paradigm …

[HTML][HTML] Algorithm to find a maximum 2-packing set in a cactus

A Flores-Lamas, JA Fernández-Zepeda… - Theoretical Computer …, 2018 - Elsevier
In this paper, we address the problem of finding a maximum 2-packing set in a cactus. Let
G=(VG, EG) be an undirected connected graph; then a subset S⊆ VG is a 2-packing set if for …

Finding Optimal 2-Packing Sets on Arbitrary Graphs at Scale

J Borowitz, E Großmann, C Schulz… - arXiv preprint arXiv …, 2023 - arxiv.org
A 2-packing set for an undirected graph $ G=(V, E) $ is a subset $\mathcal {S}\subset V $
such that any two vertices $ v_1, v_2\in\mathcal {S} $ have no common neighbors. Finding a …

A self-stabilizing distributed algorithm for the generalized dominating set problem with safe convergence

H Kobayashi, Y Sudo, H Kakugawa… - The Computer …, 2023 - academic.oup.com
A self-stabilizing distributed algorithm is guaranteed eventually to reach and stay at a
legitimate configuration regardless of the initial configuration of a distributed system. In this …