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We introduce and explore a family of vertex-coloring problems which, surprisingly enough, have not been considered before despite stemming from the problem of Wi-Fi channel assignment. Given a spectrum of colors, endowed with a matrix of…

Discrete Mathematics · Computer Science 2018-11-19 David Orden , Jose Manuel Gimenez-Guzman , Ivan Marsa-Maestre , Enrique de la Hoz

Given a wireless network where some pairs of communication links interfere with each other, we study sufficient conditions for determining whether a given set of minimum bandwidth Quality of Service (QoS) requirements can be satisfied. We…

Information Theory · Computer Science 2009-06-23 Ashwin Ganesan

The interference imposes a significant negative impact on the performance of wireless networks. With the continuous deployment of larger and more sophisticated wireless networks, reducing interference in such networks is quickly being…

Networking and Internet Architecture · Computer Science 2011-03-31 Maaly Awad Hassan , Andrew Chickadel

Coloring is used in wireless networks to improve communication efficiency, mainly in terms of bandwidth, energy and possibly end-to-end delays. In this research report, we define the h-hop node coloring problem, with h any positive integer.…

Networking and Internet Architecture · Computer Science 2011-04-12 Ichrak Amdouni , Pascale Minet , Cédric Adjih

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…

Discrete Mathematics · Computer Science 2020-07-20 David Orden , Ivan Marsa-Maestre , Jose Manuel Gimenez-Guzman , Enrique de la Hoz , Ana Álvarez-Suárez

Given a wireless network where some pairs of communication links interfere with each other, we study sufficient conditions for determining whether a given set of minimum bandwidth quality-of-service (QoS) requirements can be satisfied. We…

Information Theory · Computer Science 2015-12-11 Ashwin Ganesan

We consider the broad class of decentralized optimal resource allocation problems in wireless networks, which can be formulated as a constrained statistical learning problems with a localized information structure. We develop the use of…

Signal Processing · Electrical Eng. & Systems 2022-05-11 Zhiyang Wang , Mark Eisen , Alejandro Ribeiro

We study the heterogeneous wireless sensor networks (WSNs) and propose the necessary condition of the optimal sensor deployment. Similar to that in homogeneous WSNs, the necessary condition implies that every sensor node location should…

Networking and Internet Architecture · Computer Science 2016-03-29 Jun Guo , Hamid Jafarkhani

We show that several important resource allocation problems in wireless networks fit within the common framework of Constraint Satisfaction Problems (CSPs). Inspired by the requirements of these applications, where variables are located at…

Artificial Intelligence · Computer Science 2013-09-19 K. R. Duffy , C. Bordenave , D. J. Leith

One of the most important combinatorial optimization problems is graph coloring. There are several variations of this problem involving additional constraints either on vertices or edges. They constitute models for real applications, such…

Data Structures and Algorithms · Computer Science 2016-06-17 Rosiane de Freitas , Bruno Dias , Nelson Maculan , Jayme Szwarcfiter

Coloring is used in wireless networks to improve communication efficiency, mainly in terms of bandwidth, energy and possibly end-to-end delays. In this paper, we define the h-hop node coloring problem, with h any positive integer, adapted…

Networking and Internet Architecture · Computer Science 2012-09-14 Ichrak Amdouni , Pascale Minet , Cédric Adjih

In this paper, we present an unsupervised approach for frequency sub-band allocation in wireless networks using graph-based learning. We consider a dense deployment of subnetworks in the factory environment with a limited number of…

Networking and Internet Architecture · Computer Science 2024-08-05 Daniel Abode , Ramoni Adeogun , Lou Salaün , Renato Abreu , Thomas Jacobsen , Gilberto Berardinelli

Finding actions that satisfy the constraints imposed by both external inputs and internal representations is central to decision making. We demonstrate that some important classes of constraint satisfaction problems (CSPs) can be solved by…

Neurons and Cognition · Quantitative Biology 2018-01-16 Ueli Rutishauser , Jean-Jacques Slotine , Rodney J. Douglas

Wireless local area networks (WLANs) manage multiple access points (APs) and assign scarce radio frequency resources to APs for satisfying traffic demands of associated user devices. This paper considers the channel allocation problem in…

Information Theory · Computer Science 2022-11-01 Zhan Gao , Yulin Shao , Deniz Gunduz , Amanda Prorok

We develop distributed algorithms to allocate resources in multi-hop wireless networks with the aim of minimizing total cost. In order to observe the fundamental duplexing constraint that co-located transmitters and receivers cannot operate…

Networking and Internet Architecture · Computer Science 2016-11-15 Yufang Xi , Edmund M. Yeh

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

This chapter deals with decentralized learning algorithms for in-network processing of graph-valued data. A generic learning problem is formulated and recast into a separable form, which is iteratively minimized using the…

Optimization and Control · Mathematics 2015-04-01 Georgios B. Giannakis , Qing Ling , Gonzalo Mateos , Ioannis D. Schizas , Hao Zhu

Graph coloring is used in wireless networks to optimize network resources: bandwidth and energy. Nodes access the medium according to their color. It is the responsibility of the coloring algorithm to ensure that interfering nodes do not…

Networking and Internet Architecture · Computer Science 2011-10-10 Ichrak Amdouni , Cédric Adjih , Pascale Minet

In this paper, we present a communication-free algorithm for distributed coverage of an arbitrary network by a group of mobile agents with local sensing capabilities. The network is represented as a graph, and the agents are arbitrarily…

Systems and Control · Computer Science 2016-02-01 A. Yasin Yazicioglu , Magnus Egerstedt , Jeff S. Shamma

Graph learning is often a necessary step in processing or representing structured data, when the underlying graph is not given explicitly. Graph learning is generally performed centrally with a full knowledge of the graph signals, namely…

Signal Processing · Electrical Eng. & Systems 2021-12-14 Isabela Cunha Maia Nobre , Mireille El Gheche , Pascal Frossard
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