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We revisit asynchronous computing in networks of crash-prone processes, under the asynchronous variant of the standard LOCAL model, recently introduced by Fraigniaud et al. [DISC 2022]. We focus on the vertex coloring problem, and our…

分布式、并行与集群计算 · 计算机科学 2024-08-21 Alkida Balliu , Pierre Fraigniaud , Patrick Lambein-Monette , Dennis Olivetti , Mikael Rabie

A local algorithm is a distributed algorithm that completes after a constant number of synchronous communication rounds. We present local approximation algorithms for the minimum dominating set problem and the maximum matching problem in…

分布式、并行与集群计算 · 计算机科学 2010-02-02 Matti Åstrand , Valentin Polishchuk , Joel Rybicki , Jukka Suomela , Jara Uitto

We consider the problem of forming a distributed queue in the adversarial dynamic network model of Kuhn, Lynch, and Oshman (STOC 2010) in which the network topology changes from round to round but the network stays connected. This is a…

分布式、并行与集群计算 · 计算机科学 2013-10-21 Gokarna Sharma , Costas Busch

We study the problem of clock synchronization in highly dynamic networks, where communication links can appear or disappear at any time. The nodes in the network are equipped with hardware clocks, but the rate of the hardware clocks can…

分布式、并行与集群计算 · 计算机科学 2018-12-11 Fabian Kuhn , Christoph Lenzen , Thomas Locher , Rotem Oshman

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…

分布式、并行与集群计算 · 计算机科学 2023-12-20 Fabien Dufoulon , William K. Moses , Gopal Pandurangan

While obtaining optimal algorithms for the most important problems in the LOCAL model has been one of the central goals in the area of distributed algorithms since its infancy, tight complexity bounds are elusive for many problems even when…

分布式、并行与集群计算 · 计算机科学 2025-05-06 Sebastian Brandt , Ananth Narayanan

We study the fair k-set selection problem where we aim to select $k$ sets from a given set system such that the (weighted) occurrence times that each element appears in these $k$ selected sets are balanced, i.e., the maximum (weighted)…

数据结构与算法 · 计算机科学 2025-05-20 Shi Li , Chenyang Xu , Ruilong Zhang

Understanding the role of randomness when solving locally checkable labeling (LCL) problems in the LOCAL model has been one of the top priorities in the research on distributed graph algorithms in recent years. For LCL problems in…

数据结构与算法 · 计算机科学 2025-10-27 Sebastian Brandt , Fabian Kuhn , Zahra Parsaeian

We consider the distributed wake-up problem with advice, where nodes are equipped with initial knowledge about the network at large. After the adversary awakens a subset of nodes, an oracle computes a bit string (``the advice'') for each…

量子物理 · 物理学 2026-02-06 Peter Robinson , Ming Ming Tan

We design fast dynamic algorithms for proper vertex and edge colorings in a graph undergoing edge insertions and deletions. In the static setting, there are simple linear time algorithms for $(\Delta+1)$- vertex coloring and…

数据结构与算法 · 计算机科学 2017-11-15 Sayan Bhattacharya , Deeparnab Chakrabarty , Monika Henzinger , Danupon Nanongkai

A (fully) dynamic graph algorithm is a data structure that supports edge insertions, edge deletions, and answers certain queries that are specific to the problem under consideration. There has been a lot of research on dynamic algorithms…

数据结构与算法 · 计算机科学 2023-01-19 Jannick Borowitz , Ernestine Großmann , Christian Schulz

We introduce a new graph problem, the token dropping game, and we show how to solve it efficiently in a distributed setting. We use the token dropping game as a tool to design an efficient distributed algorithm for stable orientations and…

分布式、并行与集群计算 · 计算机科学 2021-02-18 Sebastian Brandt , Barbara Keller , Joel Rybicki , Jukka Suomela , Jara Uitto

In this paper, we study the set cover problem in the fully dynamic model. In this model, the set of active elements, i.e., those that must be covered at any given time, can change due to element arrivals and departures. The goal is to…

数据结构与算法 · 计算机科学 2016-11-18 Anupam Gupta , Ravishankar Krishnaswamy , Amit Kumar , Debmalya Panigrahi

We study space and time efficient quantum algorithms for two graph problems -- deciding whether an $n$-vertex graph is a forest, and whether it is bipartite. Via a reduction to the s-t connectivity problem, we describe quantum algorithms…

量子物理 · 物理学 2016-10-04 Chris Cade , Ashley Montanaro , Aleksandrs Belovs

The dispersion problem has received much attention recently in the distributed computing literature. In this problem, $k\leq n$ agents placed initially arbitrarily on the nodes of an $n$-node, $m$-edge anonymous graph of maximum degree…

分布式、并行与集群计算 · 计算机科学 2025-03-21 Ajay D. Kshemkalyani , Manish Kumar , Anisur Rahaman Molla , Gokarna Sharma

In this paper we study the dynamic versions of two basic graph problems: Minimum Dominating Set and its variant Minimum Connected Dominating Set. For those two problems, we present algorithms that maintain a solution under edge insertions…

数据结构与算法 · 计算机科学 2019-01-29 Niklas Hjuler , Giuseppe F. Italiano , Nikos Parotsidis , David Saulpic

We present a complete classification of the deterministic distributed time complexity for a family of graph problems: binary labeling problems in trees. These are locally checkable problems that can be encoded with an alphabet of size two…

分布式、并行与集群计算 · 计算机科学 2020-02-19 Alkida Balliu , Sebastian Brandt , Yuval Efron , Juho Hirvonen , Yannic Maus , Dennis Olivetti , Jukka Suomela

Learning system dynamics directly from observations is a promising direction in machine learning due to its potential to significantly enhance our ability to understand physical systems. However, the dynamics of many real-world systems are…

机器学习 · 计算机科学 2021-03-23 Karolis Martinkus , Aurelien Lucchi , Nathanaël Perraudin

In the study of deterministic distributed algorithms it is commonly assumed that each node has a unique $O(\log n)$-bit identifier. We prove that for a general class of graph problems, local algorithms (constant-time distributed algorithms)…

分布式、并行与集群计算 · 计算机科学 2013-12-24 Mika Göös , Juho Hirvonen , Jukka Suomela

Understanding the dynamics of evolving social or infrastructure networks is a challenge in applied areas such as epidemiology, viral marketing, or urban planning. During the past decade, data has been collected on such networks but has yet…

社会与信息网络 · 计算机科学 2014-03-27 David Eisenstat , Claire Mathieu , Nicolas Schabanel