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Nodes are randomly distributed within an annulus (and then a shell) to form a point pattern of communication terminals which are linked stochastically according to the Rayleigh fading of radio-frequency data signals. We then present…

Combinatorics · Mathematics 2017-06-15 Alexander P. Kartun-Giles , Orestis Georgiou , Carl P. Dettmann

This paper introduces a novel algorithm for cardinality, i.e., the number of nodes, estimation in large scale anonymous graphs using statistical inference methods. Applications of this work include estimating the number of sensor devices,…

Information Theory · Computer Science 2015-08-21 Ahmed Douik , Salah A. Aly , Tareq Y. Al-Naffouri , Mohamed-Slim Alouini

Wireless Mesh Networks (WMNs) have evolved into a wireless communication technology of immense interest. But technological advancements in WMNs have inadvertently spawned a plethora of network performance bottlenecks, caused primarily by…

Networking and Internet Architecture · Computer Science 2016-01-29 Srikant Manas Kala , M. Pavan Kumar Reddy , Ranadheer Musham , Bheemarjuna Reddy Tamma

Degree correlation is an important topological property common to many real-world networks. In this paper, the statistical measures for characterizing the degree correlation in networks are investigated analytically. We give an exact proof…

Physics and Society · Physics 2015-09-03 Ju Xiang , Ke Hu , Tao Hu , Yan Zhang , Jian-Ming Li

The present work considers the localization problem in wireless sensor networks formed by fixed nodes. Each node seeks to estimate its own position based on noisy measurements of the relative distance to other nodes. In a centralized batch…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-19 Gemma Morral , Pascal Bianchi

An assumption that researchers have often used to model interference in a wireless network is the unit disk graph model. While many theoretical results and performance guarantees have been obtained under this model, an open research…

Networking and Internet Architecture · Computer Science 2024-09-12 Ashwin Ganesan

We consider the problem of distributed binary hypothesis testing in a parallel network topology where sensors independently observe some phenomenon and send a finite rate summary of their observations to a fusion center for the final…

Information Theory · Computer Science 2016-06-29 Alla Tarighati , Joakim Jalden

Even though power-law or close-to-power-law degree distributions are ubiquitously observed in a great variety of large real networks, the mathematically satisfactory treatment of random power-law graphs satisfying basic statistical…

Probability · Mathematics 2023-11-09 Pim van der Hoorn , Gabor Lippner , Dmitri Krioukov

This paper presents a survey of key distribution schemes for wireless sensor networks. This survey includes the new approach of key distribution using the piggy bank method. Different Network architectures and different key pre-distribution…

Cryptography and Security · Computer Science 2014-05-19 Pratik P. Chaphekar

The $\boldsymbol{\beta}$-model for random graphs is commonly used for representing pairwise interactions in a network with degree heterogeneity. Going beyond pairwise interactions, Stasi et al. (2014) introduced the hypergraph…

Statistics Theory · Mathematics 2024-06-07 Sagnik Nandy , Bhaswar B. Bhattacharya

Neighbourhood watch is a concept that allows a community to distribute a complex security task in between all members. Members of the community carry out individual security tasks to contribute to the overall security of it. It reduces the…

Cryptography and Security · Computer Science 2024-07-22 Benjamin Förster , Peter Langendörfer , Thomas Hinze

In this paper we study the connectivity problem for wireless networks under the Signal to Interference plus Noise Ratio (SINR) model. Given a set of radio transmitters distributed in some area, we seek to build a directed strongly connected…

Discrete Mathematics · Computer Science 2015-05-13 Chen Avin , Zvi Lotker , Francesco Pasquale , Yvonne-Anne Pignolet

In wireless networks, the knowledge of nodal distances is essential for several areas such as system configuration, performance analysis and protocol design. In order to evaluate distance distributions in random networks, the underlying…

Information Theory · Computer Science 2012-01-24 Sunil Srinivasa , Martin Haenggi

Preferential attachment models have been widely studied in complex networks, because they can explain the formation of many networks like social networks, citation networks, power grids, and biological networks, to name a few. Motivated by…

Social and Information Networks · Computer Science 2016-05-03 Sushmita Ruj , Arindam Pal

In this paper, we present a communication-free algorithm for distributed coverage of an arbitrary network by a group of mobile agents with local sensing capabilities. The network is represented as a graph, and the agents are arbitrarily…

Systems and Control · Computer Science 2016-02-01 A. Yasin Yazicioglu , Magnus Egerstedt , Jeff S. Shamma

We address the problem of social network de-anonymization when relationships between people are described by scale-free graphs. In particular, we propose a rigorous, asymptotic mathematical analysis of the network de-anonymization problem…

Social and Information Networks · Computer Science 2014-11-27 Carla Chiasserini , Michele Garetto , Emilio Leonardi

Sensor networks aim at monitoring their surroundings for event detection and object tracking. But due to failure or death of sensors, false signal can be transmitted. In this paper, we consider the problem of fault detection in wireless…

Networking and Internet Architecture · Computer Science 2012-03-05 Mrinal Nandi , Amiya Nayak , Bimal Roy , Santanu Sarkar

The intrinsically secure communications graph (iS-graph) is a random graph which captures the connections that can be securely established over a large-scale network, in the presence of eavesdroppers. It is based on principles of…

Information Theory · Computer Science 2016-11-18 Pedro C. Pinto , Moe Z. Win

AI becomes increasingly vital for telecom industry, as the burgeoning complexity of upcoming mobile communication networks places immense pressure on network operators. While there is a growing consensus that intelligent network…

Machine Learning · Computer Science 2024-12-12 Shengheng Liu , Tianqi Zhang , Ningning Fu , Yongming Huang

We consider random-access networks where nodes represent servers with a queue and can be either active or inactive. A node deactivates at unit rate, while it activates at a rate that depends on its queue length, provided none of its…

Probability · Mathematics 2023-09-13 Sem C. Borst , Frank den Hollander , Francesca R. Nardi , Matteo Sfragara