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Related papers: Deploying Wireless Networks with Beeps

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Scheduling wireless links for simultaneous activation in such a way that all transmissions are successfully decoded at the receivers and moreover network capacity is maximized is a computationally hard problem. Usually it is tackled by…

Networking and Internet Architecture · Computer Science 2016-03-15 Fabio R. J. Vieira , José F. de Rezende , Valmir C. Barbosa

The paper considers the NP-hard graph vertex coloring problem, which differs from traditional problems in which it is required to color vertices with a given (or minimal) number of colors so that adjacent vertices have different colors. In…

Discrete Mathematics · Computer Science 2025-02-24 Adil Erzin , Roman Plotnikov , Georgii Zhukov

In FOCS'2002, Even et al. introduced and studied the notion of conflict-free colorings of geometrically defined hypergraphs. They motivated it by frequency assignment problems in cellular networks. This notion has been extensively studied…

Combinatorics · Mathematics 2017-04-10 Chaya Keller , Shakhar Smorodinsky

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-21 Alkida Balliu , Pierre Fraigniaud , Patrick Lambein-Monette , Dennis Olivetti , Mikael Rabie

This paper studies sufficient conditions to obtain efficient distributed algorithms coloring graphs optimally (i.e.\ with the minimum number of colors) in the LOCAL model of computation. Most of the work on distributed vertex coloring so…

Combinatorics · Mathematics 2019-01-25 Étienne Bamas , Louis Esperet

We give a new randomized distributed algorithm for the $\Delta+1$-list coloring problem. The algorithm and its analysis dramatically simplify the previous best result known of Chang, Li, and Pettie [SICOMP 2020]. This allows for numerous…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-12 Magnús M. Halldórsson , Alexandre Nolin , Tigran Tonoyan

We study frequency allocation in wireless networks. A wireless network is modeled by an undirected graph, with vertices corresponding to cells. In each vertex we have a certain number of requests, and each of those requests must be assigned…

Data Structures and Algorithms · Computer Science 2011-02-17 Marek Chrobak , Łukasz Jeż , Jiří Sgall

In a number of practical scenarios a wireless device needs to mark its presence, for instance, to some access point. That enables the access point to assign the device its transmission slot or update the count of the network nodes. Many…

Networking and Internet Architecture · Computer Science 2016-08-05 Przemysław Błaśkiewicz , Jacek Cichoń , Jakub Lemiesz , Mirosław Kutyłowski , Marcin Zawada , Krystyna Napierała , Michał Panek , Stanisław Strzyż

We introduce a simple time-triggered protocol to achieve communication-efficient non-Bayesian learning over a network. Specifically, we consider a scenario where a group of agents interact over a graph with the aim of discerning the true…

Systems and Control · Electrical Eng. & Systems 2019-09-05 Aritra Mitra , John A. Richards , Shreyas Sundaram

The vertex coloring problem asks for the minimum number of colors that can be assigned to the vertices of a given graph such that each two adjacent vertices get different colors. For this NP-hard problem, a variety of integer linear…

Discrete Mathematics · Computer Science 2022-06-29 Adalat Jabrayilov , Petra Mutzel

Information exchange over networks can be affected by various forms of delay. This causes challenges for using the network by a multi-agent system to solve a distributed optimisation problem. Distributed optimisation schemes, however,…

Optimization and Control · Mathematics 2021-05-25 Adrian Redder , Arunselvan Ramaswamy , Holger Karl

This paper initiates the study of the impact of failures on the fundamental problem of \emph{information spreading} in the Vertex-Congest model, in which in every round, each of the $n$ nodes sends the same $O(\log{n})$-bit message to all…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-07 Keren Censor-Hillel , Tariq Toukan

We study a variation of the graph colouring problem on random graphs of finite average connectivity. Given the number of colours, we aim to maximise the number of different colours at neighbouring vertices (i.e. one edge distance) of any…

Statistical Mechanics · Physics 2009-11-11 S. Bounkong , J. van Mourik , D. Saad

A single-hop beeping network is a distributed communication model in which all stations can communicate with one another by transmitting only one-bit messages, called beeps. This paper focuses on resolving the distributed computing area's…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-21 Ny Aina Andriambolamalala , Vlady Ravelomanana

The network coloring game has been proposed in the literature of social sciences as a model for conflict-resolution circumstances. The players of the game are the vertices of a graph with $n$ vertices and maximum degree $\Delta$. The game…

Discrete Mathematics · Computer Science 2022-04-01 Nikolaos Fryganiotis , Symeon Papavassiliou , Christos Pelekis

Consider a distributed task where the communication network is fixed but the local inputs given to the nodes of the distributed system may change over time. In this work, we explore the following question: if some of the local inputs…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-20 Klaus-Tycho Foerster , Janne H. Korhonen , Ami Paz , Joel Rybicki , Stefan Schmid

We consider a variant of the densest subgraph problem in networks with single or multiple edge attributes. For example, in a social network, the edge attributes may describe the type of relationship between users, such as friends, family,…

Social and Information Networks · Computer Science 2024-02-15 Lutz Oettershagen , Honglian Wang , Aristides Gionis

The goal of this research report is to present OSERENA "Optimized SchEduling RoutEr Node Activity", a distributed coloring algorithm optimized for dense wireless networks. Network density has an extremely reduced impact on the size of the…

Networking and Internet Architecture · Computer Science 2011-11-04 Ichrak Amdouni , Minet Pascale , Cédric Adjih

In computer networks, participants may cooperate in processing tasks, so that loads are balanced among them. We present local distributed algorithms that (repeatedly) use local imbalance criteria to transfer loads concurrently across the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-07 Yefim Dinitz , Shlomi Dolev , Manish Kumar

This work is concerned with the problem of distributed resource allocation in continuous-time setting but with discrete-time communication over infinitely jointly connected and balanced digraphs. We provide a passivity-based perspective for…

Multiagent Systems · Computer Science 2021-01-18 Lanlan Su , Mengmou Li , Vijay Gupta , Graziano Chesi
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