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Wireless sensor networks are an important technology for making distributed autonomous measures in hostile or inaccessible environments. Among the challenges they pose, the way data travel among them is a relevant issue since their…

Data Analysis, Statistics and Probability · Physics 2013-08-15 Raquel S. Cabral , Andre L. L. Aquino , Alejandro C. Frery , Osvaldo A. Rosso , Jaime A. Ramírez

Coverage is one of the fundamental issues in wireless sensor networks (WSNs). It reflects the ability of WSNs to detect the fields of interest. In a real sensor networks application, the detection area is always non-ideal and the terrain of…

Networking and Internet Architecture · Computer Science 2013-12-25 Lin Feng , Tie Qiu , Zhenlong Sun , Feng Xia , Yu Zhou

We investigate how the graph topology influences the robustness to noise in undirected linear consensus networks. We measure the structural robustness by using the smallest possible value of steady state population variance of states under…

Systems and Control · Electrical Eng. & Systems 2020-11-18 Yasin Yazicioglu , Waseem Abbas , Mudassir Shabbir

The neighbor connectivity of a graph $G$ is the least number of vertices such that removing their closed neighborhoods from $G$ results in a graph that is disconnected, complete or empty. If a~graph is used to model the topology of an…

Discrete Mathematics · Computer Science 2019-10-29 Tomáš Dvořák , Mei-Mei Gu

Deep learning-based approaches have been developed to solve challenging problems in wireless communications, leading to promising results. Early attempts adopted neural network architectures inherited from applications such as computer…

Information Theory · Computer Science 2022-11-07 Yifei Shen , Jun Zhang , S. H. Song , Khaled B. Letaief

Node-connectivity augmentation is a fundamental network design problem. We are given a $k$-node connected graph $G$ together with an additional set of links, and the goal is to add a cheap subset of links to $G$ to make it $(k+1)$-node…

Data Structures and Algorithms · Computer Science 2023-11-29 Waldo Galvez , Dylan Hyatt-Denesik , Afrouz Jabal Ameli , Laura Sanita

We present a novel theoretical framework connecting k-component edge connectivity with spectral graph theory and homology theory to pro vide new insights into the resilience of real-world networks. By extending classical edge connectivity…

Combinatorics · Mathematics 2024-09-10 Joshua Steier

Graph neural networks (GNNs) have emerged as a powerful tool for graph classification and representation learning. However, GNNs tend to suffer from over-smoothing problems and are vulnerable to graph perturbations. To address these…

Machine Learning · Computer Science 2021-11-01 Yuzhou Chen , Baris Coskunuzer , Yulia R. Gel

We study an NP-hard problem motivated by energy-efficiently maintaining the connectivity of a symmetric wireless communication network: Given an edge-weighted $n$-vertex graph, find a connected spanning subgraph of minimum cost, where the…

Data Structures and Algorithms · Computer Science 2022-03-23 Matthias Bentert , René van Bevern , André Nichterlein , Rolf Niedermeier , Pavel V. Smirnov

In this work, we consider the usage of wireless sensor networks (WSN) to monitor an area of interest, in order to diagnose on real time its state. Each sensor node forwards information about relevant features towards the sink where the data…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-22 Ahmad Farhat , Abdallah Makhoul , Christophe Guyeux , Rami Tawil , Ali Jaber , Abbas Hijazi

Generation of realistic topologies plays an important role in determining the accuracy and validity of simulation studies. This study presents a discussion to justify why, and how often randomly generated adjacency matrices may not not…

Networking and Internet Architecture · Computer Science 2013-04-17 Gautam Bhanage , Sanjit Kaul

We consider a crucial aspect of self-organization of a sensor network consisting of a large set of simple sensor nodes with no location hardware and only very limited communication range. After having been distributed randomly in a given…

Data Structures and Algorithms · Computer Science 2007-05-23 Sandor P. Fekete , Alexander Kroeller , Dennis Pfisterer , Stefan Fischer , Carsten Buschmann

Consider a weighted or unweighted k-nearest neighbor graph that has been built on n data points drawn randomly according to some density p on R^d. We study the convergence of the shortest path distance in such graphs as the sample size…

Machine Learning · Computer Science 2012-07-10 Morteza Alamgir , Ulrike von Luxburg

Many applications of wireless sensor networks (WSNs) require deploying sensors in hostile environments, where an adversary may eavesdrop communications. To secure communications in WSNs, the q-composite key predistribution scheme has been…

Information Theory · Computer Science 2019-11-05 Jun Zhao

We consider a connected undirected graph $G(n,m)$ with $n$ nodes and $m$ edges. A $k$-dominating set $D$ in $G$ is a set of nodes having the property that every node in $G$ is at most $k$ edges away from at least one node in $D$. Finding a…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 L. D. Penso , V. C. Barbosa

Random intersection graphs have received much attention for nearly two decades, and currently have a wide range of applications ranging from key predistribution in wireless sensor networks to modeling social networks. In this paper, we…

Discrete Mathematics · Computer Science 2016-11-15 Jun Zhao , Osman Yağan , Virgil Gligor

One of the most important and well-studied settings for network design is edge-connectivity requirements. This encompasses uniform demands such as the Minimum $k$-Edge-Connected Spanning Subgraph problem ($k$-ECSS), as well as nonuniform…

Data Structures and Algorithms · Computer Science 2022-06-27 Michael Dinitz , Ama Koranteng , Guy Kortsarz

Wireless sensor networks are normally characterized by resource challenged nodes. Since communication costs the most in terms of energy in these networks, minimizing this overhead is important. We consider minimum length node scheduling in…

Networking and Internet Architecture · Computer Science 2013-01-24 K. Shashi Prabh

The optimal allocation of channels and power resources plays a crucial role in ensuring minimal interference, maximal data rates, and efficient energy utilisation. As a successful approach for tackling resource management problems in…

Networking and Internet Architecture · Computer Science 2024-08-09 Lili Chen , Jingge Zhu , Jamie Evans

A graph is $k$-connected if it has $k$ internally-disjoint paths between every pair of nodes. A subset $S$ of nodes in a graph $G$ is a $k$-connected set if the subgraph $G[S]$ induced by $S$ is $k$-connected; $S$ is an $m$-dominating set…

Data Structures and Algorithms · Computer Science 2017-03-14 Zeev Nutov