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We consider single-hop radio networks with multiple channels as a model of wireless networks. There are $n$ stations connected to $b$ radio channels that do not provide collision detection. A station uses all the channels concurrently and…

数据结构与算法 · 计算机科学 2018-12-31 Bogdan S. Chlebus , Gianluca De Marco , Dariusz R. Kowalski

We study the {edge-coloring} problem in the message-passing model of distributed computing. This is one of the most fundamental and well-studied problems in this area. Currently, the best-known deterministic algorithms for (2Delta…

分布式、并行与集群计算 · 计算机科学 2015-03-17 Leonid Barenboim , Michael Elkin

The distributed coloring problem is arguably one of the key problems studied in the area of distributed graph algorithms. The most standard variant of the problem asks for a proper vertex coloring of a graph with $\Delta+1$ colors, where…

分布式、并行与集群计算 · 计算机科学 2026-05-05 Marc Fuchs , Fabian Kuhn

We obtain better algorithms for computing more balanced orientations and degree splits in LOCAL. Important to our result is a connection to the hypergraph sinkless orientation problem [BMNSU, SODA'25] We design an algorithm of complexity…

数据结构与算法 · 计算机科学 2026-04-03 Yannic Maus , Alexandre Nolin , Florian Schager

This paper is centered on the complexity of graph problems in the well-studied LOCAL model of distributed computing, introduced by Linial [FOCS '87]. It is widely known that for many of the classic distributed graph problems (including…

数据结构与算法 · 计算机科学 2017-10-31 Mohsen Ghaffari , Fabian Kuhn , Yannic Maus

In the distributed backup-placement problem each node of a network has to select one neighbor, such that the maximum number of nodes that make the same selection is minimized. This is a natural relaxation of the perfect matching problem, in…

分布式、并行与集群计算 · 计算机科学 2019-08-19 Leonid Barenboim , Gal Oren

Recently, \citeauthor*{akbari2021locality}~(ICALP 2023) studied the locality of graph problems in distributed, sequential, dynamic, and online settings from a {unified} point of view. They designed a novel $O(\log n)$-locality deterministic…

数据结构与算法 · 计算机科学 2024-05-02 Yi-Jun Chang , Gopinath Mishra , Hung Thuan Nguyen , Mingyang Yang , Yu-Cheng Yeh

Online algorithms make decisions based on past inputs. In general, the decision may depend on the entire history of inputs. If many computers run the same online algorithm with the same input stream but are started at different times, they…

数据结构与算法 · 计算机科学 2022-10-14 Maciej Pacut , Mahmoud Parham , Joel Rybicki , Stefan Schmid , Jukka Suomela , Aleksandr Tereshchenko

We consider the clock synchronization problem in the (discrete) beeping model: Given a network of $n$ nodes with each node having a clock value $\delta(v) \in \{0,\ldots T-1\}$, the goal is to synchronize the clock values of all nodes such…

分布式、并行与集群计算 · 计算机科学 2020-05-18 Michael Feldmann , Ardalan Khazraei , Christian Scheideler

A central theme in distributed network algorithms concerns understanding and coping with the issue of locality. Inspired by sequential complexity theory, we focus on a complexity theory for distributed decision problems. In the context of…

分布式、并行与集群计算 · 计算机科学 2011-03-04 Pierre Fraigniaud , Amos Korman , David Peleg

A model and analysis of the human sleep/wake system is presented. The model is derived using the known neuronal groups, and their various projections, involved with sleep and wake. Inherent in the derivation is the existence of a slow time…

动力系统 · 数学 2012-08-17 Lisa Rogers , Mark Holmes

There is a huge difference in techniques and runtimes of distributed algorithms for problems that can be solved by a sequential greedy algorithm and those that cannot. A prime example of this contrast appears in the edge coloring problem:…

数据结构与算法 · 计算机科学 2025-05-27 Manuel Jakob , Yannic Maus , Florian Schager

The sinkless orientation problem plays a key role in understanding the foundations of distributed computing. The problem can be used to separate two fundamental models of distributed graph algorithms, LOCAL and SLOCAL: the locality of…

Distributed graph coloring is one of the most extensively studied problems in distributed computing. There is a canonical family of distributed graph coloring algorithms known as the locally-iterative coloring algorithms, first formalized…

数据结构与算法 · 计算机科学 2023-01-31 Xinyu Fu , Yitong Yin , Chaodong Zheng

Differential equation-based physiological models of sleep-wake networks describe sleep-wake regulation by simulating the activity of wake- and sleep-promoting neuronal populations and the modulation of these populations by homeostatic and…

动力系统 · 数学 2021-11-16 Christina Athanasouli , Sofia H. Piltz , Cecilia Diniz Behn , Victoria Booth

We propose a general method for converting online algorithms to local computation algorithms by selecting a random permutation of the input, and simulating running the online algorithm. We bound the number of steps of the algorithm using a…

数据结构与算法 · 计算机科学 2012-05-08 Yishay Mansour , Aviad Rubinstein , Shai Vardi , Ning Xie

We present a deterministic algorithm for solving a wide range of dynamic programming problems in trees in $O(\log D)$ rounds in the massively parallel computation model (MPC), with $O(n^\delta)$ words of local memory per machine, for any…

分布式、并行与集群计算 · 计算机科学 2023-05-08 Chetan Gupta , Rustam Latypov , Yannic Maus , Shreyas Pai , Simo Särkkä , Jan Studený , Jukka Suomela , Jara Uitto , Hossein Vahidi

We present the \emph{discrete beeping} communication model, which assumes nodes have minimal knowledge about their environment and severely limited communication capabilities. Specifically, nodes have no information regarding the local or…

分布式、并行与集群计算 · 计算机科学 2010-05-17 Alejandro Cornejo , Fabian Kuhn

Consider an n-vertex graph G = (V,E) of maximum degree Delta, and suppose that each vertex v \in V hosts a processor. The processors are allowed to communicate only with their neighbors in G. The communication is synchronous, i.e., it…

分布式、并行与集群计算 · 计算机科学 2010-03-09 Leonid Barenboim , Michael Elkin

We study the self-stabilizing leader election problem in anonymous $n$-nodes networks. Achieving self-stabilization with low space memory complexity is particularly challenging, and designing space-optimal leader election algorithms remains…

分布式、并行与集群计算 · 计算机科学 2026-02-20 Lelia Blin , Sylvain Gay , Isabella Ziccardi