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In this paper, we present improved algorithms for the $(\Delta+1)$ (vertex) coloring problem in the Congested-Clique model of distributed computing. In this model, the input is a graph on $n$ nodes, initially each node knows only its…

Data Structures and Algorithms · Computer Science 2020-01-14 Merav Parter

Graph coloring problems are among the most fundamental problems in parallel and distributed computing, and have been studied extensively in both settings. In this context, designing efficient deterministic algorithms for these problems has…

Data Structures and Algorithms · Computer Science 2024-04-26 Sam Coy , Artur Czumaj , Peter Davies , Gopinath Mishra

In this paper, we consider a network of processors aiming at cooperatively solving mixed-integer convex programs subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2022-07-19 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Francesco Sasso , Roland Bouffanais

We consider the problem of minimizing the number of broadcasts for collecting all sensor measurements at a sink node in a noisy broadcast sensor network. Focusing first on arbitrary network topologies, we provide (i) fundamental limits on…

Information Theory · Computer Science 2017-02-01 Yaoqing Yang , Soummya Kar , Pulkit Grover

Node coloring is the task of assigning colors to the nodes of a graph such that no two adjacent nodes have the same color, while using as few colors as possible. It is the most widely studied instance of graph coloring and of central…

Combinatorics · Mathematics 2026-01-09 Knut Vanderbush , Melanie Weber

Graph coloring, also known as vertex coloring, considers the problem of assigning colors to the nodes of a graph such that adjacent nodes do not share the same color. The optimization version of the problem concerns the minimization of the…

Artificial Intelligence · Computer Science 2010-11-25 Hugo Hernández , Christian Blum

This paper proposes distributed algorithms to solve robust convex optimization (RCO) when the constraints are affected by nonlinear uncertainty. We adopt a scenario approach by randomly sampling the uncertainty set. To facilitate the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-16 Keyou You , Roberto Tempo , Pei Xie

Vizing showed that it suffices to color the edges of a simple graph using $\Delta + 1$ colors, where $\Delta$ is the maximum degree of the graph. However, up to this date, no efficient distributed edge-coloring algorithms are known for…

Data Structures and Algorithms · Computer Science 2019-04-11 Hsin-Hao Su , Hoa T. Vu

A streaming algorithm is considered to be adversarially robust if it provides correct outputs with high probability even when the stream updates are chosen by an adversary who may observe and react to the past outputs of the algorithm. We…

Data Structures and Algorithms · Computer Science 2021-09-24 Amit Chakrabarti , Prantar Ghosh , Manuel Stoeckl

In this paper, we present multi-threaded algorithms for graph coloring suitable to the shared memory programming model. We modify an existing algorithm widely used in the literature and prove the correctness of the modified algorithm. We…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-11 Nandini Singhal , Sathya Peri , Subrahmanyam Kalyanasundaram

We examine the utility of multiple channels of communication in wireless networks under the SINR model of interference. The central question is whether the use of multiple channels can result in linear speedup, up to some fundamental limit.…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-26 Magnus M. Halldorsson , Yuexuan Wang , Dongxiao Yu

Irregular computations on unstructured data are an important class of problems for parallel programming. Graph coloring is often an important preprocessing step, e.g. as a way to perform dependency analysis for safe parallel execution. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-19 Georgios Rokos , Gerard Gorman , Paul H J Kelly

This paper explores the application of a new algebraic method of edge coloring, called complex coloring, to the scheduling problems of input queued switches. The proposed distributed parallel scheduling algorithm possesses two important…

Networking and Internet Architecture · Computer Science 2016-06-24 Lingkang Wang , Tong Ye , Tony T. Lee , Weisheng Hu

When different objectives conflict with each other in multi-task learning, gradients begin to interfere and slow convergence, thereby potentially reducing the final model's performance. To address this, we introduce SON-GOKU, a scheduler…

Machine Learning · Computer Science 2025-12-10 Santosh Patapati

We prove new bounds on the distributed fractional coloring problem in the LOCAL model. Fractional $c$-colorings can be understood as multicolorings as follows. For some natural numbers $p$ and $q$ such that $p/q\leq c$, each node $v$ is…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-10 Alkida Balliu , Fabian Kuhn , Dennis Olivetti

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-05-17 Alejandro Cornejo , Fabian Kuhn

Network coding (NC), in principle, is a Layer-3 innovation that improves network throughput in wired networks for multicast/broadcast scenarios. Due to the fundamental differences between wired and wireless networks, extending NC to…

Information Theory · Computer Science 2013-12-10 Mohammad H. Firooz , Zhiyong Chen , Sumit Roy , Hui Liu

We present three sublinear randomized algorithms for vertex-coloring of graphs with maximum degree $\Delta$. The first is a simple algorithm that extends the idea of Morris and Song to color graphs with maximum degree $\Delta$ using…

Data Structures and Algorithms · Computer Science 2025-02-11 Asaf Ferber , Liam Hardiman , Xiaonan Chen

In this paper we consider graph-coloring problems, an important subset of general constraint satisfaction problems that arise in wireless resource allocation. We constructively establish the existence of fully decentralized learning-based…

Networking and Internet Architecture · Computer Science 2015-06-11 Alessandro Checco , Douglas Leith

This paper proposes a machine learning-assisted channel estimation approach for massive MIMO systems, leveraging DNNs to outperform traditional LS and MMSE methods. In 5G and beyond, accurate channel estimation mitigates pilot contamination…

Signal Processing · Electrical Eng. & Systems 2025-10-16 Haoran He
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