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In this paper we consider greedy scheduling algorithms in wireless networks, i.e., the schedules are computed by adding links greedily based on some priority vector. Two special cases are considered: 1) Longest Queue First (LQF) scheduling,…

Information Theory · Computer Science 2016-11-17 Qiao Li , Rohit Negi

We initiate the study of a new parameterization of graph problems. In a multiple interval representation of a graph, each vertex is associated to at least one interval of the real line, with an edge between two vertices if and only if an…

Data Structures and Algorithms · Computer Science 2011-12-19 Fedor V. Fomin , Serge Gaspers , Petr Golovach , Karol Suchan , Stefan Szeider , Erik Jan van Leeuwen , Martin Vatshelle , Yngve Villanger

In order to maintain consistent quality of service, computer network engineers face the task of monitoring the traffic fluctuations on the individual links making up the network. However, due to resource constraints and limited access, it…

Applications · Statistics 2010-05-26 Joel Vaughan , Stilian A. Stoev , George Michailidis

One of the fundamental and most-studied algorithmic problems in distributed computing on networks is graph coloring, both in bounded-degree and in general graphs. Recently, the study of this problem has been extended in two directions.…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-14 Nicolas Bousquet , Laurent Feuilloley , Marc Heinrich , Mikaël Rabie

Managing interference in a network of macrocells underlaid with femtocells presents an important, yet challenging problem. A majority of spatial (frequency/time) reuse based approaches partition the users based on coloring the interference…

Information Theory · Computer Science 2015-04-28 Kartik Ahuja , Yuanzhang Xiao , Mihaela van der Schaar

A fundamental problem in the design of wireless networks is to efficiently schedule transmission in a distributed manner. The main challenge stems from the fact that optimal link scheduling involves solving a maximum weighted independent…

Signal Processing · Electrical Eng. & Systems 2021-02-09 Zhongyuan Zhao , Gunjan Verma , Chirag Rao , Ananthram Swami , Santiago Segarra

We consider random-access networks where nodes represent servers with a queue and can be either active or inactive. A node deactivates at unit rate, while it activates at a rate that depends on its queue length, provided none of its…

Probability · Mathematics 2023-09-13 Sem C. Borst , Frank den Hollander , Francesca R. Nardi , Matteo Sfragara

The maximum edge colouring problem considers the maximum colour assignment to edges of a graph under the condition that every vertex has at most a fixed number of distinct coloured edges incident on it. If that fixed number is $q$ we call…

Discrete Mathematics · Computer Science 2023-07-06 Zdeněk Dvořák , Abhiruk Lahiri

In this paper we introduce and study a new problem named \emph{min-max edge $q$-coloring} which is motivated by applications in wireless mesh networks. The input of the problem consists of an undirected graph and an integer $q$. The goal is…

Data Structures and Algorithms · Computer Science 2013-02-15 Tommi Larjomaa , Alexandru Popa

In multi-channel Wireless Mesh Networks (WMN), each node is able to use multiple non-overlapping frequency channels. Raniwala et al. (MC2R 2004, INFOCOM 2005) propose and study several such architectures in which a computer can have…

Data Structures and Algorithms · Computer Science 2018-10-09 Radu Stefan Mincu , Alexandru Popa

The problem of the data routing management, it provides a method or a strategy that guarantees at any time the connection between any pair of nodes in the network. This routing method must be able to cope with frequent changes in the…

Discrete Mathematics · Computer Science 2014-06-06 Ali Mansouri , Mohamed Salim bouhlel

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

In this paper we study the connectivity problem for wireless networks under the Signal to Interference plus Noise Ratio (SINR) model. Given a set of radio transmitters distributed in some area, we seek to build a directed strongly connected…

Discrete Mathematics · Computer Science 2015-05-13 Chen Avin , Zvi Lotker , Francesco Pasquale , Yvonne-Anne Pignolet

Throughput and per-packet delay can present strong trade-offs that are important in the cases of delay sensitive applications.We investigate such trade-offs using a random linear network coding scheme for one or more receivers in single hop…

Networking and Internet Architecture · Computer Science 2012-02-06 Weifei Zeng , Chris T. K. Ng , Muriel Medard

We consider the problem of scheduling packet transmissions in a wireless network of users while minimizing the energy consumed and the transmission delay. A challenge is that transmissions of users that are close to each other mutually…

Networking and Internet Architecture · Computer Science 2022-05-18 Karthik GVB , Vivek S. Borkar , Gaurav S. Kasbekar

Several authors modelled networks ad hoc by oriented or disoriented graphs, whereby the problem of allowance (allocation) of the frequencies at the level of the network was transformed into coloring problem of nodes in the graph. Graph…

Discrete Mathematics · Computer Science 2014-06-06 Ali Mansouri , Mohamed Salim Bouhlel

Recently multi-channel multi-radio wireless mesh networks are considered a reliable and cost effective way for internet access in wide area. A major research challenge in this network is selecting least interference channel from available…

Networking and Internet Architecture · Computer Science 2013-11-05 Sarasvathi V , N. CH. S. N. Iyengar , Snehanshu Saha

Ubiquitous densification of wireless networks has brought up the issue of inter-and intra-cell interference. Interference significantly degrades network throughput and leads to unfair channel resource usage, especially in Wi-Fi networks,…

Networking and Internet Architecture · Computer Science 2019-08-19 Evgeny Khorov , Anton Kiryanov , Alexander Krotov

The inclusion relation between simple objects in the plane may be used to define geometric set systems, or hypergraphs. Properties of various types of colorings of these hypergraphs have been the subject of recent investigations, with…

Computational Geometry · Computer Science 2015-03-17 Jean Cardinal , Matias Korman

We contribute to the theoretical understanding of randomized search heuristics for dynamic problems. We consider the classical vertex coloring problem on graphs and investigate the dynamic setting where edges are added to the current graph.…

Neural and Evolutionary Computing · Computer Science 2021-05-27 Jakob Bossek , Frank Neumann , Pan Peng , Dirk Sudholt
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