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Related papers: MIS on the fly

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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

We present randomized distributed algorithms for the maximal independent set problem (MIS) that, while keeping the time complexity nearly matching the best known, reduce the energy complexity substantially. These algorithms work in the…

Data Structures and Algorithms · Computer Science 2023-05-24 Mohsen Ghaffari , Julian Portmann

Maximal Independent Set (MIS) is one of the fundamental and most well-studied problems in distributed graph algorithms. Even after four decades of intensive research, the best-known (randomized) MIS algorithms have $O(\log{n})$ round…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-20 Fabien Dufoulon , William K. Moses , Gopal Pandurangan

Chatterjee, Gmyr, and Pandurangan [PODC 2020] recently introduced the notion of awake complexity for distributed algorithms, which measures the number of rounds in which a node is awake. In the other rounds, the node is sleeping and…

Data Structures and Algorithms · Computer Science 2023-05-11 Mohsen Ghaffari , Julian Portmann

The Beeping Network (BN) model captures important properties of biological processes. Paradoxically, the extremely limited communication capabilities of such nodes has helped BN become one of the fundamental models for networks. Since in…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-20 Pawel Garncarek , Dariusz R. Kowalski , Shay Kutten , Miguel A. Mosteiro

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

We explore the fundamental limits of distributed balls-into-bins algorithms. We present an adaptive symmetric algorithm that achieves a bin load of two in log* n+O(1) communication rounds using O(n) messages in total. Larger bin loads can…

Computational Complexity · Computer Science 2011-03-01 Christoph Lenzen , Roger Wattenhofer

We consider the problem of computing a maximal independent set (MIS) in an extremely harsh broadcast model that relies only on carrier sensing. The model consists of an anonymous broadcast network in which nodes have no knowledge about the…

Data Structures and Algorithms · Computer Science 2012-06-04 Yehuda Afek , Noga Alon , Ziv Bar-Joseph , Alejandro Cornejo , Bernhard Haeupler , Fabian Kuhn

We consider the problem of finding a maximal independent set (MIS) in the discrete beeping model. At each time, a node in the network can either beep (i.e., emit a signal) or be silent. Silent nodes can only differentiate between no…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-08-10 Alejandro Cornejo , Bernhard Haeupler , Fabian Kuhn

In the semi-streaming model for processing massive graphs, an algorithm makes multiple passes over the edges of a given $n$-vertex graph and is tasked with computing the solution to a problem using $O(n \cdot \text{polylog}(n))$ space.…

Data Structures and Algorithms · Computer Science 2023-12-21 Sepehr Assadi , Christian Konrad , Kheeran K. Naidu , Janani Sundaresan

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

We present a randomized distributed algorithm that in radio networks with collision detection broadcasts a single message in $O(D + \log^6 n)$ rounds, with high probability. This time complexity is most interesting because of its optimal…

Data Structures and Algorithms · Computer Science 2014-04-04 Mohsen Ghaffari , Bernhard Haeupler , Majid Khabbazian

We present $O(\log\log n)$-round algorithms in the Massively Parallel Computation (MPC) model, with $\tilde{O}(n)$ memory per machine, that compute a maximal independent set, a $1+\epsilon$ approximation of maximum matching, and a…

Data Structures and Algorithms · Computer Science 2022-03-21 Mohsen Ghaffari , Themis Gouleakis , Christian Konrad , Slobodan Mitrović , Ronitt Rubinfeld

Maximal Independent Set selection is a fundamental problem in distributed computing. A novel probabilistic algorithm for this problem has recently been proposed by Afek et al, inspired by the study of the way that developing cells in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-11-02 Alex Scott , Peter Jeavons , Lei Xu

We consider self-stabilizing algorithms to compute a Maximal Independent Set (MIS) in the extremely weak beeping communication model. The model consists of an anonymous network with synchronous rounds. In each round, each vertex can…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-04 George Giakkoupis , Volker Turau , Isabella Ziccardi

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

We propose distributed algorithms for two well-established problems that operate efficiently under extremely harsh conditions. Our algorithms achieve state-of-the-art performance in a simple and novel way. Our algorithm for maximal…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-19 Peter Jeavons , Alex Scott , Lei Xu

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

We present distributed randomized leader election protocols for multi-hop radio networks that elect a leader in almost the same time $T_{BC}$ required for broadcasting a message. For the setting without collision detection, our algorithm…

Data Structures and Algorithms · Computer Science 2014-04-04 Mohsen Ghaffari , Bernhard Haeupler

A $t$-ruling set of a graph $G = (V, E)$ is a vertex-subset $S \subseteq V$ that is independent and satisfies the property that every vertex $v \in V$ is at a distance of at most $t$ from some vertex in $S$. A \textit{maximal independent…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-07-16 Kishore Kothapalli , Sriram Pemmaraju
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