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The present work deals with the problem of efficiently assigning Wi-Fi channels in a real-world scenario, the Polytechnic School of the University of Alcal\'a. We first use proximity graphs to model the whole problem as an instance of…

Coordinating the operations of separate wireless systems at the wavelength level can lead to significant improvements in wireless capabilities. We address a fundamental challenge in distributed radio frequency system cooperation -…

信号处理 · 电气工程与系统科学 2020-10-21 Serge R. Mghabghab , Sean M. Ellison , Jeffrey A. Nanzer

We analyse the performance of simple distributed colouring algorithms under the assumption that the input graph is a hyperbolic random graph (HRG), a generative model capturing key properties of real-world networks such as power-law degree…

数据结构与算法 · 计算机科学 2025-07-23 Yannic Maus , Janosch Ruff

We propose an algorithm for distributed optimization over time-varying communication networks. Our algorithm uses an optimized ratio between the number of rounds of communication and gradient evaluations to achieve fast convergence. The…

最优化与控制 · 数学 2020-01-08 Bryan Van Scoy , Laurent Lessard

To efficiently extract textual information from color degraded document images is a significant research area. The prolonged imperfect preservation of ancient documents has led to various types of degradation, such as page staining, paper…

计算机视觉与模式识别 · 计算机科学 2023-08-25 Rui-Yang Ju , Yu-Shian Lin , Jen-Shiun Chiang , Chih-Chia Chen , Wei-Han Chen , Chun-Tse Chien

In this paper, a comprehensive performance analysis of a distributed intelligent reflective surfaces (IRSs)-aided communication system is presented. First, the optimal signal-to-noise ratio (SNR), which is attainable through the direct and…

Vizing's celebrated theorem states that every simple graph with maximum degree $\Delta$ admits a $(\Delta+1)$ edge coloring which can be found in $O(m \cdot n)$ time on $n$-vertex $m$-edge graphs. This is just one color more than the…

数据结构与算法 · 计算机科学 2024-05-24 Sepehr Assadi

We give deterministic distributed $(1+\epsilon)$-approximation algorithms for Minimum Vertex Coloring and Maximum Independent Set on chordal graphs in the LOCAL model. Our coloring algorithm runs in $O(\frac{1}{\epsilon} \log n)$ rounds,…

数据结构与算法 · 计算机科学 2018-05-15 Christian Konrad , Viktor Zamaraev

A fundamental problem in wireless networks is the maximum link scheduling problem: given a set $L$ of links, compute the largest possible subset $L'\subseteq L$ of links that can be scheduled simultaneously without interference. This…

分布式、并行与集群计算 · 计算机科学 2012-11-19 Guanhong Pei , Anil Kumar S. Vullikanti

Given a large social or information network, how can we partition the vertices into sets (i.e., colors) such that no two vertices linked by an edge are in the same set while minimizing the number of sets used. Despite the obvious practical…

社会与信息网络 · 计算机科学 2014-08-27 Ryan A. Rossi , Nesreen K. Ahmed

Deep neural networks (DNNs) have have shown state-of-the-art performance for computer vision applications like image classification, segmentation and object detection. Whereas recent advances have shown their vulnerability to manual digital…

计算机视觉与模式识别 · 计算机科学 2023-05-24 Chengyin Hu , Weiwen Shi

We study the wireless scheduling problem in the SINR model. More specifically, given a set of $n$ links, each a sender-receiver pair, we wish to partition (or \emph{schedule}) the links into the minimum number of slots, each satisfying…

数据结构与算法 · 计算机科学 2014-05-02 Magnus M. Halldorsson , Pradipta Mitra

Consider a wireless network where each communication link has a minimum bandwidth quality-of-service requirement. Certain pairs of wireless links interfere with each other due to being in the same vicinity, and this interference is modeled…

信息论 · 计算机科学 2020-02-19 Ashwin Ganesan

In this paper we consider coloring problems on graphs and other combinatorial structures on standard Borel spaces. Our goal is to obtain sufficient conditions under which such colorings can be made well-behaved in the sense of topology or…

组合数学 · 数学 2023-07-19 Anton Bernshteyn

We consider the problem of coloring graphs of maximum degree $\Delta$ with $\Delta$ colors in the distributed setting with limited bandwidth. Specifically, we give a $\mathsf{poly}\log\log n$-round randomized algorithm in the CONGEST model.…

数据结构与算法 · 计算机科学 2024-05-17 Yannic Maus , Magnús M. Halldórsson

This invited paper presents some novel ideas on how to enhance the performance of consensus algorithms in distributed wireless sensor networks, when communication costs are considered. Of particular interest are consensus algorithms that…

分布式、并行与集群计算 · 计算机科学 2014-09-04 Steffen Limmer , Slawomir Stanczak , Mario Goldenbaum , Renato L. G. Cavalcante

We present an $O(\log^3\log n)$-round distributed algorithm for the $(\Delta+1)$-coloring problem, where each node broadcasts only one $O(\log n)$-bit message per round to its neighbors. Previously, the best such broadcast-based algorithm…

分布式、并行与集群计算 · 计算机科学 2023-04-20 Maxime Flin , Mohsen Ghaffari , Magnús M. Halldórsson , Fabian Kuhn , Alexandre Nolin

Given a graph $G$, an edge-coloring is an assignment of colors to edges of $G$ such that any two edges sharing an endpoint receive different colors. By Vizing's celebrated theorem, any graph of maximum degree $\Delta$ needs at least…

数据结构与算法 · 计算机科学 2023-05-04 Soheil Behnezhad , Mohammad Saneian

Nearly thirty years ago, Bar-Noy, Motwani and Naor [IPL'92] conjectured that an online $(1+o(1))\Delta$-edge-coloring algorithm exists for $n$-node graphs of maximum degree $\Delta=\omega(\log n)$. This conjecture remains open in general,…

数据结构与算法 · 计算机科学 2020-11-02 Sayan Bhattacharya , Fabrizio Grandoni , David Wajc

We present a deterministic distributed algorithm, in the LOCAL model, that computes a $(1+o(1))\Delta$-edge-coloring in polylogarithmic-time, so long as the maximum degree $\Delta=\tilde{\Omega}(\log n)$. For smaller $\Delta$, we give a…

数据结构与算法 · 计算机科学 2017-11-16 Mohsen Ghaffari , Fabian Kuhn , Yannic Maus , Jara Uitto