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The efficient use of bandwidth for radio communications becomes more and more crucial when developing new information technologies and their applications. The core issues are addressed by the so-called Frequency Assignment Problems (FAP).…

Optimization and Control · Mathematics 2010-01-08 Andrea Carneiro Linhares , Juan-Manuel Torres-Moreno , Peter Peinl , Philippe Michelon

Graph matching, typically formulated as a Quadratic Assignment Problem (QAP), seeks to establish node correspondences between two graphs. To address the NP-hardness of QAP, some existing methods adopt projection-based relaxations that embed…

Machine Learning · Computer Science 2025-08-05 Binrui Shen , Yuan Liang , Shengxin Zhu

Quadratic assignment problems (QAPs) arise in a wide variety of domains, ranging from operations research to graph theory to computer vision to neuroscience. In the age of big data, graph valued data is becoming more prominent, and with it,…

Communication and topology aware process mapping is a powerful approach to reduce communication time in parallel applications with known communication patterns on large, distributed memory systems. We address the problem as a quadratic…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-23 Christian Schulz , Jesper Larsson Träff , Konrad von Kirchbach

We analyze greedy algorithms for the Hierarchical Aggregation (HAG) problem, a strategy introduced in [Jia et al., KDD 2020] for speeding up learning on Graph Neural Networks (GNNs). The idea of HAG is to identify and remove redundancies in…

Data Structures and Algorithms · Computer Science 2021-02-09 Alexandra Porter , Mary Wootters

Next generation wireless networks face the challenge of increasing energy consumption while satisfying the unprecedented increase in the data rate demand. To address this problem, we propose a utility-based energy-efficient resource…

Networking and Internet Architecture · Computer Science 2014-10-23 Kemal Davaslioglu , Cemil Can Coskun , Ender Ayanoglu

The Quadratic Assignment Problem (QAP) is one of the models used for the multi-row layout problem with facilities of equal area. There are a set of n facilities and a set of n locations. For each pair of locations, a distance is specified…

Neural and Evolutionary Computing · Computer Science 2014-05-21 Hosein Azarbonyad , Reza Babazadeh

This paper presents a hierarchical approach to resource allocation in open-access femtocell networks. The major challenge in femtocell networks is interference management which in our system, based on the Long Term Evolution (LTE) standard,…

Information Theory · Computer Science 2012-02-27 Sanam Sadr , Raviraj Adve

Motivated by real-world applications such as the allocation of public housing, we examine the problem of assigning a group of agents to vertices (e.g., spatial locations) of a network so that the diversity level is maximized. Specifically,…

Data Structures and Algorithms · Computer Science 2024-04-02 Zirou Qiu , Andrew Yuan , Chen Chen , Madhav V. Marathe , S. S. Ravi , Daniel J. Rosenkrantz , Richard E. Stearns , Anil Vullikanti

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

We study the parameterized complexity of a broad class of problems called "local graph partitioning problems" that includes the classical fixed cardinality problems as max k-vertex cover, k-densest subgraph, etc. By developing a technique…

Computational Complexity · Computer Science 2013-06-11 Edouard Bonnet , Bruno Escoffier , Vangelis Th. Paschos , Emeric Tourniaire

The matching problem between two adjacency matrices can be formulated as the NP-hard quadratic assignment problem (QAP). Previous work on semidefinite programming (SDP) relaxations to the QAP have produced solutions that are often tight in…

Optimization and Control · Mathematics 2017-03-29 Jose F. S. Bravo Ferreira , Yuehaw Khoo , Amit Singer

In this manuscript, we consider the problems of channel assignment in wireless networks and data migration in heterogeneous storage systems. We show that a soft edge coloring approach to both problems gives rigorous approximation…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-10-20 Chadi Kari

Path optimization is a fundamental concern across various real-world scenarios, ranging from traffic congestion issues to efficient data routing over the internet. The Traffic Assignment Problem (TAP) is a classic continuous optimization…

Disordered Systems and Neural Networks · Physics 2025-04-21 Rayan Harfouche , Giovanni Piccioli , Lenka Zdeborová

Network management protocols often require timely and meaningful insight about per flow network traffic. This paper introduces Randomized Admission Policy (RAP) - a novel algorithm for the frequency and top-k estimation problems, which are…

Data Structures and Algorithms · Computer Science 2016-12-12 Ran Ben Basat , Gil Einziger , Roy Friedman , Yaron Kassner

Fueled by algorithmic advances, AI algorithms are increasingly being deployed in settings subject to unanticipated challenges with complex social effects. Motivated by real-world deployment of AI driven, social-network based suicide…

Optimization and Control · Mathematics 2020-06-15 Aida Rahmattalabi , Phebe Vayanos , Anthony Fulginiti , Eric Rice , Bryan Wilder , Amulya Yadav , Milind Tambe

With the increasing number of user equipment (UE) and data demands, denser access points (APs) are being employed. Resource allocation problems have been extensively researched with interference treated as noise. It is well understood that…

Networking and Internet Architecture · Computer Science 2020-04-20 Jing Li , Dongning Guo

Let $P=\{p_0,\ldots,p_{n-1}\}$ be a set of points in $\mathbb{R}^d$, modeling devices in a wireless network. A range assignment assigns a range $r(p_i)$ to each point $p_i\in P$, thus inducing a directed communication graph $G_r$ in which…

Computational Geometry · Computer Science 2020-10-01 Mark de Berg , Aleksandar Markovic , Seeun William Umboh

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

We study frequency allocation in wireless networks. A wireless network is modeled by an undirected graph, with vertices corresponding to cells. In each vertex we have a certain number of requests, and each of those requests must be assigned…

Data Structures and Algorithms · Computer Science 2011-02-17 Marek Chrobak , Łukasz Jeż , Jiří Sgall
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