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Consider a wireless network of n nodes represented by a graph G=(V, E) where an edge (i,j) models the fact that transmissions of i and j interfere with each other, i.e. simultaneous transmissions of i and j become unsuccessful. Hence it is…

Networking and Internet Architecture · Computer Science 2011-04-14 Devavrat Shah , Jinwoo Shin , Prasad Tetali

Technological advancement has brought revolutionary change in the converged wireless networks. Due to the existence of different types of traffic, provisioning of Quality of Service (QoS) becomes a challenge in the wireless networks. In…

Networking and Internet Architecture · Computer Science 2018-10-08 Mohammad Arif Hossain , Mostafa Zaman Chowdhury , Shakil Ahmed , Yeong Min Jang

Distributed opportunistic scheduling (DOS) is studied for wireless ad-hoc networks in which many links contend for the channel using random access before data transmissions. Simply put, DOS involves a process of joint channel probing and…

Information Theory · Computer Science 2009-07-14 Chandrashekhar Thejaswi P. S. , Junshan Zhang , Man-On Pun , H. Vincent Poor , Dong Zheng

We consider the problem of allocating radio channels to links in a wireless network. Links interact through interference, modelled as a conflict graph (i.e., two interfering links cannot be simultaneously active on the same channel). We aim…

Machine Learning · Computer Science 2015-02-18 Marc Lelarge , Alexandre Proutiere , M. Sadegh Talebi

In recent years there is a growing effort to provide learning algorithms for spectrum collaboration. In this paper we present a medium access control protocol which allows spectrum collaboration with minimal regret and high spectral…

Networking and Internet Architecture · Computer Science 2024-02-08 Tomer Boyarski , Wenbo Wang , Amir Leshem

The latest IEEE 802.11 amendments provide support to directional communications in the Millimeter Wave spectrum and, thanks to the wide bandwidth available at such frequencies, makes it possible to wirelessly approach several emergent use…

Networking and Internet Architecture · Computer Science 2021-05-26 Matteo Drago , Tommy Azzino , Mattia Lecci , Andrea Zanella , Michele Zorzi

In this paper, we investigate the impact of the broadcast effect arising in filterless optical networks on the computational complexity of the wavelength assignment problem. We model conflicts using an appropriate interference digraph,…

Discrete Mathematics · Computer Science 2026-03-04 Hugo Boulier , David Coudert , Frédéric Havet , François Pirot

The constrained combinatorial multi-armed bandit model has been widely employed to solve problems in wireless networking and related areas, including the problem of wireless scheduling for throughput optimization under unknown channel…

Machine Learning · Computer Science 2026-01-13 Juaren Steiger , Bin Li

We consider the delay properties of max-weight opportunistic scheduling in a multi-user ON/OFF wireless system, such as a multi-user downlink or uplink. It is well known that max-weight scheduling stabilizes the network (and hence yields…

Optimization and Control · Mathematics 2009-01-02 Michael J. Neely

In the Maximum Independent Set problem we are asked to find a set of pairwise nonadjacent vertices in a given graph with the maximum possible cardinality. In general graphs, this classical problem is known to be NP-hard and hard to…

Data Structures and Algorithms · Computer Science 2023-11-15 Maria Chudnovsky , Marcin Pilipczuk , Michał Pilipczuk , Stéphan Thomassé

Cognitive ad-hoc networks allow users to access an unlicensed/shared spectrum without the need for any coordination via a central controller and are being envisioned for futuristic ultra-dense wireless networks. The ad-hoc nature of…

Signal Processing · Electrical Eng. & Systems 2020-03-31 Rohit Kumar , Shaswat Satapathy , Shivani Singh , Sumit J. Darak

In wireless networks, consisting of battery-powered devices, energy is a costly resource and most of it is spent on transmitting and receiving messages. Broadcast is a problem where a message needs to be transmitted from one node to all…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-15 Marek Klonowski , Dominik Pająk

In this paper, we propose a systematic solution to the problem of scheduling delay-sensitive media data for transmission over time-varying wireless channels. We first formulate the dynamic scheduling problem as a Markov decision process…

Multimedia · Computer Science 2010-08-27 Fangwen Fu , Mihaela van der Schaar

The Maximum Weighted Independent Set (MWIS) problem, which considers a graph with weights assigned to nodes and seeks to discover the "heaviest" independent set, that is, a set of nodes with maximum total weight so that no two nodes in the…

Data Structures and Algorithms · Computer Science 2020-08-18 Kai Sun

To cope with the ever increasing demand for bandwidth, future wireless networks will be designed with reuse distance equal to one. This scenario requires the implementation of techniques able to manage the strong multiple access…

Information Theory · Computer Science 2013-10-18 Ying Yang , Marco Moretti , Wenxiang Dong , Weidong Wang

In a graph $G$, an {\it efficient dominating set} is a subset $D$ of vertices such that $D$ is an independent set and each vertex outside $D$ has exactly one neighbor in $D$. The {\textsc{Efficient Dominating Set}} problem (EDS) asks for…

Discrete Mathematics · Computer Science 2014-09-08 T. Karthick

The Maximum Weight Independent Set problem is a fundamental NP-hard problem in combinatorial optimization with several real-world applications. Given an undirected vertex-weighted graph, the problem is to find a subset of the vertices with…

Optimization and Control · Mathematics 2025-03-05 Ernestine Großmann , Kenneth Langedal , Christian Schulz

In the Independent set problem, the input is a graph $G$, every vertex has a non-negative integer weight, and the task is to find a set $S$ of pairwise non-adjacent vertices, maximizing the total weight of the vertices in $S$. We give an…

Data Structures and Algorithms · Computer Science 2015-09-02 Daniel Lokshtanov , Marcin Pilipczuk , Erik Jan van Leeuwen

We consider the fair allocation of indivisible items to several agents and add a graph theoretical perspective to this classical problem. Namely, we introduce an incompatibility relation between pairs of items described in terms of a…

Discrete Mathematics · Computer Science 2022-11-29 Nina Chiarelli , Matjaž Krnc , Martin Milanič , Ulrich Pferschy , Nevena Pivač , Joachim Schauer

Let $G=(V,E)$ be a finite undirected graph. An edge set $E' \subseteq E$ is a dominating induced matching (d.i.m.) in $G$ if every edge in $E$ is intersected by exactly one edge of $E'$. The Dominating Induced Matching (DIM) problem asks…

Discrete Mathematics · Computer Science 2016-05-16 Andreas Brandstadt , Raffaele Mosca