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We study computing {\em all-pairs shortest paths} (APSP) on distributed networks (the CONGEST model). The goal is for every node in the (weighted) network to know the distance from every other node using communication. The problem admits…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-07 Chien-Chung Huang , Danupon Nanongkai , Thatchaphol Saranurak

We consider the problem of finding a minimum edge cost subgraph of a graph satisfying both given node-connectivity requirements and degree upper bounds on nodes. We present an iterative rounding algorithm of the biset LP relaxation for this…

Data Structures and Algorithms · Computer Science 2015-08-11 Takuro Fukunaga , Zeev Nutov , R. Ravi

In this letter we discuss cost optimization of sensor networks monitoring structurally full-rank systems under distributed observability constraint. Using structured systems theory, the problem is relaxed into two subproblems: (i) sensing…

Systems and Control · Computer Science 2018-05-23 Mohammadreza Doostmohammadian , Hamid R. Rabiee , Usman A. Khan

We study recovery of piecewise-constant signals on graphs by the estimator minimizing an $l_0$-edge-penalized objective. Although exact minimization of this objective may be computationally intractable, we show that the same statistical…

Methodology · Statistics 2017-09-29 Zhou Fan , Leying Guan

Given $n$ pairs of points, $\mathcal{S} = \{\{p_1, q_1\}, \{p_2, q_2\}, \dots, \{p_n, q_n\}\}$, in some metric space, we study the problem of two-coloring the points within each pair, red and blue, to optimize the cost of a pair of…

Computational Geometry · Computer Science 2017-10-04 Esther M. Arkin , Aritra Banik , Paz Carmi , Gui Citovsky , Su Jia , Matthet J. Katz , Tyler Mayer , Joseph S. B. Mitchell

We study the design of fixed-parameter algorithms for problems already known to be solvable in polynomial time. The main motivation is to get more efficient algorithms for problems with unattractive polynomial running times. Here, we focus…

Computational Complexity · Computer Science 2021-01-06 Archontia C. Giannopoulou , George B. Mertzios , Rolf Niedermeier

We present a unified analytical framework within which power control, rate allocation, routing, and congestion control for wireless networks can be optimized in a coherent and integrated manner. We consider a multi-commodity flow model with…

Networking and Internet Architecture · Computer Science 2007-09-18 Yufang Xi , Edmund M. Yeh

The reliable operation of large-scale electric power networks is increasingly challenging, particularly with the integration of stochastic renewable generation. In this work, we address the problem of minimizing network transients by…

Systems and Control · Electrical Eng. & Systems 2026-05-29 Gerald Ogbonna , David Bindel , Lindsay C. Anderson

Given a directed graph $G$ on $n$ vertices with a special vertex $s$, the directed minimum degree spanning tree problem requires computing a incoming spanning tree rooted at $s$ whose maximum tree in-degree is the smallest among all such…

Data Structures and Algorithms · Computer Science 2019-05-28 Ran Duan , Tianyi Zhang

In this paper, we consider a wireless powered communication network where multiple users with RF energy harvesting capabilities communicate to a hybrid energy and information access point (HAP) in full-duplex mode. Each user has to transmit…

Signal Processing · Electrical Eng. & Systems 2020-02-19 Muhammad Shahid Iqbal , Yalcin Sadi , Sinem Coleri

The 2-Edge-Connected Spanning Subgraph problem (2ECSS) is among the most basic survivable network design problems: given an undirected and unweighted graph, the task is to find a spanning subgraph with the minimum number of edges that is…

Data Structures and Algorithms · Computer Science 2025-03-31 Miguel Bosch-Calvo , Mohit Garg , Fabrizio Grandoni , Felix Hommelsheim , Afrouz Jabal Ameli , Alexander Lindermayr

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

We present the first sublinear-time algorithm for a distributed message-passing network sto compute its edge connectivity $\lambda$ exactly in the CONGEST model, as long as there are no parallel edges. Our algorithm takes $\tilde…

Data Structures and Algorithms · Computer Science 2019-04-10 Mohit Daga , Monika Henzinger , Danupon Nanongkai , Thatchaphol Saranurak

There is a rich recent literature on how to assist secure communication between a single transmitter and receiver at the physical layer of wireless networks through techniques such as cooperative jamming. In this paper, we consider how…

Networking and Internet Architecture · Computer Science 2013-04-10 Majid Ghaderi , Dennis Goeckel , Ariel Orda , Mostafa Dehghan

We revisit the issue of low-distortion embedding of metric spaces into the line, and more generally, into the shortest path metric of trees, from the parameterized complexity perspective.Let $M=M(G)$ be the shortest path metric of an edge…

Data Structures and Algorithms · Computer Science 2008-04-21 Michael Fellows , Fedor Fomin , Daniel Lokshtanov , Elena Losievskaja , Frances A. Rosamond , Saket Saurabh

The Min Energy broadcast problem consists in assigning transmission ranges to the nodes of an ad-hoc network in order to guarantee a directed spanning tree from a given source node and, at the same time, to minimize the energy consumption…

Data Structures and Algorithms · Computer Science 2008-04-25 Tiziana Calamoneri , Andrea E. F. Clementi , Angelo Monti , Gianluca Rossi , Riccardo Silvestri

Identifying the connected components of a graph, apart from being a fundamental problem with countless applications, is a key primitive for many other algorithms. In this paper, we consider this problem in parallel settings. Particularly,…

Data Structures and Algorithms · Computer Science 2020-03-13 Soheil Behnezhad , Laxman Dhulipala , Hossein Esfandiari , Jakub Łącki , Vahab Mirrokni

Randomized parallel algorithms for many fundamental problems achieve optimal linear work in expectation, but upgrading this guarantee to hold with high probability (whp) remains a recurring theoretical challenge. In this paper, we address…

Data Structures and Algorithms · Computer Science 2026-03-03 Chase Hutton , Adam Melrod

In the classical (min-cost) Steiner tree problem, we are given an edge-weighted undirected graph and a set of terminal nodes. The goal is to compute a min-cost tree S which spans all terminals. In this paper we consider the min-power…

Data Structures and Algorithms · Computer Science 2012-05-17 Fabrizio Grandoni

Wireless sensor networks (WSNs) are emerging as an effective means for environment monitoring. This paper investigates a strategy for energy efficient monitoring in WSNs that partitions the sensors into covers, and then activates the covers…

Data Structures and Algorithms · Computer Science 2007-05-23 Zoe Abrams , Ashish Goel , Serge Plotkin
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