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We consider a classical k-center problem in trees. Let T be a tree of n vertices and every vertex has a nonnegative weight. The problem is to find k centers on the edges of T such that the maximum weighted distance from all vertices to…

Data Structures and Algorithms · Computer Science 2018-03-07 Haitao Wang , Jingru Zhang

Consider the classical problem of information dissemination: one (or more) nodes in a network have some information that they want to distribute to the remainder of the network. In this paper, we study the cost of information dissemination…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-03 Suman Sourav , Peter Robinson , Seth Gilbert

Given an undirected edge-weighted graph $G=(V,E)$ with $m$ edges and $n$ vertices, the minimum cut problem asks to find a subset of vertices $S$ such that the total weight of all edges between $S$ and $V \setminus S$ is minimized. Karger's…

Data Structures and Algorithms · Computer Science 2020-08-07 Paweł Gawrychowski , Shay Mozes , Oren Weimann

We consider the problem of delivering content cached in a wireless network of n nodes randomly located on a square of area n. The network performance is described by the n2^n-dimensional caching capacity region of the wireless network. We…

Information Theory · Computer Science 2012-09-28 Urs Niesen , Devavrat Shah , Gregory Wornell

If edge devices are to be deployed to critical applications where their decisions could have serious financial, political, or public-health consequences, they will need a way to signal when they are not sure how to react to their…

Neural and Evolutionary Computing · Computer Science 2020-05-11 Nathan Wycoff , Prasanna Balaprakash , Fangfang Xia

Much of the current theory of networked control systems uses simple point-to-point communication models as an abstraction of the underlying network. As a result, the controller has very limited information on the network conditions and…

Systems and Control · Computer Science 2011-03-29 Phoebus Chen , Chithrupa Ramesh , Karl H. Johansson

Many of the distributed localization algorithms are based on relaxed optimization formulations of the localization problem. These algorithms commonly rely on first-order optimization methods, and hence may require many iterations or…

Optimization and Control · Mathematics 2016-07-19 Sina Khoshfetrat Pakazad , Emre Özkan , Carsten Fritsche , Anders Hansson , Fredrik Gustafsson

Caching at the wireless edge can be used to keep up with the increasing demand for high-definition wireless video streaming. By prefetching popular content into memory at wireless access points or end-user devices, requests can be served…

Information Theory · Computer Science 2019-12-03 Parisa Hassanzadeh , Antonia M. Tulino , Jaime Llorca , Elza Erkip

We study the single machine scheduling problem with the objective to minimize the total weight of late jobs. It is assumed that the processing times of jobs are not exactly known at the time when a complete schedule must be dispatched.…

Discrete Mathematics · Computer Science 2017-06-13 Maciej Drwal

Broadcast is a fundamental operation in networks, especially in wireless Mobile Ad Hoc NETworks (MANET). For example, some form of broadcasting is used by all on-demand MANET routing protocols, when there is uncertainty as to the location…

Networking and Internet Architecture · Computer Science 2013-01-31 Zygmunt J. Haas , Milen Nikolov

We consider a heterogeneous network with mobile edge computing, where a user can offload its computation to one among multiple servers. In particular, we minimize the system-wide computation overhead by jointly optimizing the individual…

Networking and Internet Architecture · Computer Science 2018-03-05 Quoc-Viet Pham , Tuan LeAnh , Nguyen H. Tran , Choong Seon Hong

We consider three different schemes for signal routing on a tree. The vertices of the tree represent transceivers that can transmit and receive signals, and are equipped with i.i.d. weights representing the strength of the transceivers. The…

Probability · Mathematics 2014-07-14 Maria Deijfen , Nina Gantert

Wireless nodes in future communication systems need to overcome three barriers when compared to their transitional counterparts, namely to support significantly higher data rates, have long-lasting energy supplies and remain fully…

Information Theory · Computer Science 2017-11-07 Ali Kariminezhad , Aydin Sezgin

Packet losses in the network significantly impact network performance. Most TCP variants reduce the transmission rate when detecting packet losses, assuming network congestion, resulting in lower throughput and affecting bandwidth-intensive…

Networking and Internet Architecture · Computer Science 2025-01-20 Inayat Ali , Seungwoo Hong , Taesik Cheung

We give an algorithm for finding the arboricity of a weighted, undirected graph, defined as the minimum number of spanning forests that cover all edges of the graph, in $\sqrt{n} m^{1+o(1)}$ time. This improves on the previous best bound of…

Data Structures and Algorithms · Computer Science 2025-07-22 Ruoxu Cen , Henry Fleischmann , George Z. Li , Jason Li , Debmalya Panigrahi

The resiliency of a network is its ability to remain \emph{effectively} functioning also when any of its nodes or links fails. However, to reduce operational and set-up costs, a network should be small in size, and this conflicts with the…

Data Structures and Algorithms · Computer Science 2016-11-07 Davide Bilò , Luciano Gualà , Stefano Leucci , Guido Proietti

This paper investigates a distributed optimization problem under edge agreements, where each agent in the network is also subject to local convex constraints. Generalized from the concept of consensus, a group of edge agreements represents…

Optimization and Control · Mathematics 2024-09-04 Zehui Lu , Shaoshuai Mou

In the classical facility location problem we consider a graph $G$ with fixed weights on the edges of $G$. The goal is then to find an optimal positioning for a set of facilities on the graph with respect to some objective function. We…

Data Structures and Algorithms · Computer Science 2014-06-10 Boaz Ben-Moshe , Michael Elkin , Lee-Ad Gottlieb , Eran Omri

This paper considers a setting where embedded devices are used to acquire and classify images. Because of limited computing capacity, embedded devices rely on a parsimonious classification model with uneven accuracy. When local…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-02 Jiaming Qiu , Ruiqi Wang , Ayan Chakrabarti , Roch Guerin , Chenyang Lu

In this paper we deal with the Bin Packing Problem with Conflicts on interval graphs: given an interval graph, a nonnegative integer weight for each vertex, and a nonnegative integer B, find a partition of the vertex set of the graph into k…

Combinatorics · Mathematics 2017-09-15 Tiziano Bacci , Sara Nicoloso