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We consider a conflict-free minimum latency data aggregation problem that occurs in different wireless networks. Given a network that is presented as an undirected graph with one selected vertex (a sink), the goal is to find a spanning…

Networking and Internet Architecture · Computer Science 2019-04-23 Roman Plotnikov , Adil Erzin , Vyacheslav Zalyubovskiy

Let $P$ be a set of nodes in a wireless network, where each node is modeled as a point in the plane, and let $s\in P$ be a given source node. Each node $p$ can transmit information to all other nodes within unit distance, provided $p$ is…

Computational Geometry · Computer Science 2017-05-04 Mark de Berg , Hans L. Bodlaender , Sándor Kisfaludi-Bak

We consider the minimum spanning tree problem in a setting where the edge weights are stochastic from unknown distributions, and the only available information is a single sample of each edge's weight distribution. In this setting, we…

Data Structures and Algorithms · Computer Science 2024-09-25 Ruben Hoeksma , Gavin Speek , Marc Uetz

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

Bottleneck Steiner networks model energy consumption in wireless ad-hoc networks. The task is to design a network spanning a given set of terminals and at most $k$ Steiner points such that the length of the longest edge is minimised. The…

Combinatorics · Mathematics 2019-07-09 M Brazil , C Ras , D Thomas , G Xu

Given two sets of points in the plane, $P$ of $n$ terminals and $S$ of $m$ Steiner points, a Steiner tree of $P$ is a tree spanning all points of $P$ and some (or none or all) points of $S$. A Steiner tree with length of longest edge…

Computational Geometry · Computer Science 2010-12-08 A. Karim Abu-Affash

We develop distributed algorithms to allocate resources in multi-hop wireless networks with the aim of minimizing total cost. In order to observe the fundamental duplexing constraint that co-located transmitters and receivers cannot operate…

Networking and Internet Architecture · Computer Science 2016-11-15 Yufang Xi , Edmund M. Yeh

Given a directed simple graph G=(V,E) and a nonnegative-valued cost function the power of a vertex u in a directed spanning subgraph H is given by the maximum cost of an arcs of H exiting u. The power of H is the sum of the power of its…

Data Structures and Algorithms · Computer Science 2012-05-16 Gruia Calinescu

Due to its broad applications in practice, the minimum spanning tree problem and its all kinds of variations have been studied extensively during the last decades, for which a host of efficient exact and heuristic algorithms have been…

Optimization and Control · Mathematics 2026-05-05 Yang Xu , Lianmin Zhang

In this paper we propose a new problem of finding the maximal bi-connected partitioning of a graph with a size constraint (MBCPG-SC). With the goal of finding approximate solutions for the MBCPG-SC, a heuristic method is developed based on…

Discrete Mathematics · Computer Science 2016-04-19 Raka Jovanovic , Tatsushi Nishi , Stefan Voss

Emerging reconfigurable optical communication technologies allow to enhance datacenter topologies with demand-aware links optimized towards traffic patterns. This paper studies the algorithmic problem of jointly optimizing topology and…

Performance · Computer Science 2024-01-10 Wenkai Dai , Michael Dinitz , Klaus-Tycho Foerster , Long Luo , Stefan Schmid

This work presents joint iterative power allocation and interference suppression algorithms for spread spectrum networks which employ multiple hops and the amplify-and-forward cooperation strategy for both the uplink and the downlink. We…

Information Theory · Computer Science 2013-01-03 Rodrigo C. de Lamare

This paper examines the problem of assigning a transmission power to every node of a wireless sensor network. The goal is to minimize the total power consumption while ensuring that the resulting communication graph is connected. We focus…

Data Structures and Algorithms · Computer Science 2016-05-09 Stefan Hoffmann , Egon Wanke

Our motivation is to improve on the best approximation guarantee known for the problem of finding a minimum-cost 2-node connected spanning subgraph of a given undirected graph with nonnegative edge costs. We present an LP (Linear…

Data Structures and Algorithms · Computer Science 2021-11-16 Logan Grout , Joseph Cheriyan , Bundit Laekhanukit

The interference at a wireless node s can be modelled by the number of wireless nodes whose transmission ranges cover s. Given a set of positions for wireless nodes, the interference minimization problem is to assign a transmission radius…

Computational Geometry · Computer Science 2011-11-30 Majid Khabbazian , Stephane Durocher , Alireza Haghnegahdar

A fundamental problem in wireless networks is the \emph{minimum spanning tree} (MST) problem: given a set $V$ of wireless nodes, compute a spanning tree $T$, so that the total cost of $T$ is minimized. In recent years, there has been a lot…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-06-07 Maleq Khan , V. S. Anil Kumar , Gopal Pandurangan , Guanhong Pei

We study the complexity of finding communication trees with the lowest possible completion time for rooted, irregular gather and scatter collective communication operations in fully connected, $k$-ported communication networks under a…

Computational Complexity · Computer Science 2018-11-28 Jesper Larsson Träff

We present a comparative study of the application of a recently introduced heuristic algorithm to the optimization of transport on three major types of complex networks. The algorithm balances network traffic iteratively by minimizing the…

Disordered Systems and Neural Networks · Physics 2007-07-12 Bogdan Danila , Yong Yu , John A. Marsh , Kevin E. Bassler

The problem considered is the following. Given a graph with edge weights satisfying the triangle inequality, and a degree bound for each vertex, compute a low-weight spanning tree such that the degree of each vertex is at most its specified…

Data Structures and Algorithms · Computer Science 2015-06-02 S. Fekete , S. Khuller , M. Klemmstein , B. Raghavachari , Neal E. Young

The quadratic minimum spanning tree problem (QMSTP) is the problem of finding a spanning tree of a graph such that the total interaction cost between pairs of edges in the tree is minimized. We first show that most of the bounding…

Optimization and Control · Mathematics 2024-04-09 Renata Sotirov , Zoe Verchére