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In classic distributed graph problems, each instance on a graph specifies a space of feasible solutions (e.g. all proper ($\Delta+1$)-list-colorings of the graph), and the task of distributed algorithm is to construct a feasible solution…

数据结构与算法 · 计算机科学 2018-02-20 Weiming Feng , Yitong Yin

There is substantial literature dealing with fixed parameter algorithms for the dominating set problem on various families of graphs. In this paper, we give a $k^{O(dk)} n$ time algorithm for finding a dominating set of size at most $k$ in…

数据结构与算法 · 计算机科学 2008-12-18 Noga Alon , Shai Gutner

Locally finding a solution to symmetry-breaking tasks such as vertex-coloring, edge-coloring, maximal matching, maximal independent set, etc., is a long-standing challenge in distributed network computing. More recently, it has also become…

数据结构与算法 · 计算机科学 2017-02-03 Pierre Fraigniaud , Marc Heinrich , Adrian Kosowski

We study the rent-or-buy variant of the online Steiner forest problem on node- and edge-weighted graphs. For $n$-node graphs with at most $\bar{n}$ non-zero node-weights, and at most $\tilde{k}$ different arriving terminal pairs, we obtain…

数据结构与算法 · 计算机科学 2025-07-14 Sander Borst , Moritz Venzin

Moving an autonomous agent through an unknown environment is one of the crucial problems for robotics and network analysis. Therefore, it received a lot of attention in the last decades and was analyzed in many different settings. The graph…

计算复杂性 · 计算机科学 2018-04-23 Hans-Joachim Böckenhauer , Janosch Fuchs , Walter Unger

A popular approach to model interactions is to represent them as a network with nodes being the agents and the interactions being the edges. Interactions are often timestamped, which leads to having timestamped edges. Many real-world…

社会与信息网络 · 计算机科学 2023-08-30 Chamalee Wickrama Arachchi , Nikolaj Tatti

In a rendezvous task, some mobile agents dispersed in a network have to gather at an arbitrary common site. We consider the rendezvous problem on the infinite labeled line, with $2$ agents, without communication, and a synchronous notion of…

分布式、并行与集群计算 · 计算机科学 2026-02-26 Yann Bourreau , Ananth Narayanan , Alexandre Nolin

In this paper, we present a quantum algorithm for the dynamic programming approach for problems on directed acyclic graphs (DAGs). The running time of the algorithm is $O(\sqrt{\hat{n}m}\log \hat{n})$, and the running time of the best known…

量子物理 · 物理学 2023-01-02 Kamil Khadiev , Liliya Safina

Recently Rubinfeld et al. (ICS 2011, pp. 223--238) proposed a new model of sublinear algorithms called \emph{local computation algorithms}. In this model, a computation problem $F$ may have more than one legal solution and each of them…

数据结构与算法 · 计算机科学 2011-12-01 Noga Alon , Ronitt Rubinfeld , Shai Vardi , Ning Xie

We extend classical methods of computational complexity to the realm of distributed computing, where they sometimes prove more effective than in their original context. Our focus is on decision problems in the LOCAL model, a setting in…

分布式、并行与集群计算 · 计算机科学 2025-09-08 Fabian Reiter

Dominating Set is a well-known combinatorial optimization problem which finds application in computational biology or mobile communication. Because of its $\mathrm{NP}$-hardness, one often turns to heuristics for good solutions. Many such…

数据结构与算法 · 计算机科学 2026-01-21 Hendrik Higl

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…

数据结构与算法 · 计算机科学 2021-09-23 Shiri Antaki , Quanquan C. Liu , Shay Solomon

In the implicit dynamic colouring problem, the task is to maintain a representation of a proper colouring as a dynamic graph is subject to insertions and deletions of edges, while facilitating interspersed queries to the colours of…

数据结构与算法 · 计算机科学 2022-03-14 Aleksander B. G. Christiansen , Eva Rotenberg

An independent dominating set D of a graph G = (V,E) is a subset of vertices such that every vertex in V \ D has at least one neighbor in D and D is an independent set, i.e. no two vertices of D are adjacent in G. Finding a minimum…

数据结构与算法 · 计算机科学 2010-09-08 Serge Gaspers , Mathieu Liedloff

We show that several online combinatorial optimization problems that admit efficient no-regret algorithms become computationally hard in the sleeping setting where a subset of actions becomes unavailable in each round. Specifically, we show…

机器学习 · 计算机科学 2016-12-21 Satyen Kale , Chansoo Lee , Dávid Pál

Self-stabilization is a versatile technique to withstand any transient fault in a distributed system. Mobile robots (or agents) are one of the emerging trends in distributed computing as they mimic autonomous biologic entities. The…

数据结构与算法 · 计算机科学 2009-09-29 Lélia Blin , Maria Gradinariu Potop-Butucaru , Sébastien Tixeuil

Coloring unit-disk graphs efficiently is an important problem in the global and distributed setting, with applications in radio channel assignment problems when the communication relies on omni-directional antennas of the same power. In…

分布式、并行与集群计算 · 计算机科学 2023-01-23 Louis Esperet , Sébastien Julliot , Arnaud de Mesmay

Motivated by the need for robust and fast distributed computation in highly dynamic Peer-to-Peer (P2P) networks, we study algorithms for the fundamental distributed agreement problem. P2P networks are highly dynamic networks that experience…

数据结构与算法 · 计算机科学 2015-03-19 John Augustine , Gopal Pandurangan , Peter Robinson , Eli Upfal

Sleep is restoration process of the body. The efficiency of this restoration process is directly correlated to the amount of time spent at each sleep phase. Hence, automatic tracking of sleep via wearable devices has attracted both the…

信号处理 · 电气工程与系统科学 2021-05-26 Berkay Köprü , Murat Aslan , Alisher Kholmatov

We study the dispersion problem in anonymous port-labeled graphs: $k \leq n$ mobile agents, each with a unique ID and initially located arbitrarily on the nodes of an $n$-node graph with maximum degree $\Delta$, must autonomously relocate…

分布式、并行与集群计算 · 计算机科学 2025-07-03 Debasish Pattanayak , Ajay D. Kshemkalyani , Manish Kumar , Anisur Rahaman Molla , Gokarna Sharma