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In the classical framework of local distributed network computing, it is generally assumed that the entities executing distributed algorithms are altruistic. However, in various scenarios, the value of the output produced by an entity may…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-07-14 Simon Collet , Pierre Fraigniaud , Paolo Penna

Finding a maximal independent set (MIS) in a graph is a cornerstone task in distributed computing. The local nature of an MIS allows for fast solutions in a static distributed setting, which are logarithmic in the number of nodes or in…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-17 Keren Censor-Hillel , Elad Haramaty , Zohar Karnin

Maximal Independent Set (MIS) is one of the fundamental problems in distributed computing. The round (time) complexity of distributed MIS has traditionally focused on the \emph{worst-case time} for all nodes to finish. The best-known…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-16 Soumyottam Chatterjee , Robert Gmyr , Gopal Pandurangan

Distributed Opportunistic Scheduling (DOS) is inherently harder than conventional opportunistic scheduling due to the absence of a central entity that has knowledge of all the channel states. With DOS, stations contend for the channel using…

Networking and Internet Architecture · Computer Science 2015-03-19 Albert Banchs , Andres Garcia-Saavedra , Pablo Serrano , Joerg Widmer

Most graphs in real life keep changing with time. These changes can be in the form of insertion or deletion of edges or vertices. Such rapidly changing graphs motivate us to study dynamic graph algorithms. However, three important graph…

Data Structures and Algorithms · Computer Science 2018-08-07 Manoj Gupta , Shahbaz Khan

The greedy sequential algorithm for maximal independent set (MIS) loops over the vertices in arbitrary order adding a vertex to the resulting set if and only if no previous neighboring vertex has been added. In this loop, as in many…

Data Structures and Algorithms · Computer Science 2012-02-16 Guy Blelloch , Jeremy Fineman , Julian Shun

The Maximal Independent Set (MIS) problem is one of the basics in the study of locality in distributed graph algorithms. This paper presents an extremely simple randomized algorithm providing a near-optimal local complexity for this…

Data Structures and Algorithms · Computer Science 2015-07-14 Mohsen Ghaffari

Understanding structural controllability of a complex network requires to identify a Minimum Input nodes Set (MIS) of the network. It has been suggested that finding an MIS is equivalent to computing a maximum matching of the network, where…

Discrete Mathematics · Computer Science 2022-06-02 Xizhe Zhang , Jianfei Han , Weixiong Zhang

In many natural and engineered systems, agents interact through local contests that determine which individuals become dominant within their neighborhoods. These interactions are shaped by inherent differences in strength, and they often…

Multiagent Systems · Computer Science 2025-12-04 Michael Luby , Sandy Irani

Modern artificial intelligence relies on networks of agents that collect data, process information, and exchange it with neighbors to collaboratively solve optimization and learning problems. This article introduces a novel distributed…

Optimization and Control · Mathematics 2026-01-15 Diego Deplano , Nicola Bastianello , Mauro Franceschelli , Karl H. Johansson

The field of dynamic graph algorithms aims at achieving a thorough understanding of real-world networks whose topology evolves with time. Traditionally, the focus has been on the classic sequential, centralized setting where the main…

Data Structures and Algorithms · Computer Science 2021-09-23 Shiri Antaki , Quanquan C. Liu , Shay Solomon

In this paper, we investigate a distributed maximal independent set (MIS) reconfiguration problem, in which there are two maximal independent sets for which every node is given its membership status, and the nodes need to communicate with…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-21 Keren Censor-Hillel , Mikaël Rabie

Given a graph, a maximal independent set (MIS) is a maximal subset of pairwise non-adjacent vertices. Finding an MIS is a fundamental problem in distributed computing. Although the problem is extensively studied and well understood in…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-10 Fabian Kuhn , Chaodong Zheng

Distributed resource allocation is a central task in network systems such as smart grids, water distribution networks, and urban transportation systems. When solving such problems in practice it is often important to have nonasymptotic…

Optimization and Control · Mathematics 2021-03-30 Xuyang Wu , Sindri Magnusson , Mikael Johansson

We investigate the distributed complexity of maximal matching and maximal independent set (MIS) in hypergraphs in the LOCAL model. A maximal matching of a hypergraph $H=(V_H,E_H)$ is a maximal disjoint set $M\subseteq E_H$ of hyperedges and…

Data Structures and Algorithms · Computer Science 2022-11-04 Alkida Balliu , Sebastian Brandt , Fabian Kuhn , Dennis Olivetti

In this paper, we consider a network of processors aiming at cooperatively solving mixed-integer convex programs subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2022-07-19 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Francesco Sasso , Roland Bouffanais

We consider a class of distributed submodular maximization problems in which each agent must choose a single strategy from its strategy set. The global objective is to maximize a submodular function of the strategies chosen by each agent.…

Data Structures and Algorithms · Computer Science 2017-06-14 Bahman Gharesifard , Stephen L. Smith

The paper provides a framework for the assessment and optimization of the total risk of complex distributed systems. The framework takes into account the risk of each agent, which may arise from heterogeneous sources, as well as the risk…

Optimization and Control · Mathematics 2025-09-09 Aray Almen , Darinka Dentcheva

In several smart city applications, multiple resources must be allocated among competing agents that are coupled through such shared resources and are constrained --- either through limitations of communication infrastructure or privacy…

Systems and Control · Computer Science 2023-10-19 Syed Eqbal Alam , Robert Shorten , Fabian Wirth , Jia Yuan Yu

The maximal independent set (MIS) is one of the most fundamental problems in distributed computing, and it has been studied intensively for over four decades. This paper focuses on the MIS problem in the Radio Network model, a standard…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-10 Dominick Banasik , Varsha Dani , Fabien Dufoulon , Aayush Gupta , Thomas P. Hayes , Gopal Pandurangan
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