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We consider the problem of diffusing information in networks that contain malicious nodes. We assume that each normal node in the network has no knowledge of the network topology other than an upper bound on the number of malicious nodes in…

Social and Information Networks · Computer Science 2012-03-29 Haotian Zhang , Shreyas Sundaram

We consider the problem of graph matchability in non-identically distributed networks. In a general class of edge-independent networks, we demonstrate that graph matchability can be lost with high probability when matching the networks…

Statistics Theory · Mathematics 2019-03-22 Vince Lyzinski , Daniel L. Sussman

We study the problem of wireless sensor network design by deploying a minimum number of additional relay nodes (to minimize network cost) at a subset of given potential relay locations, in order to convey the data from already existing…

Networking and Internet Architecture · Computer Science 2014-04-23 Abhijit Bhattacharya , Anurag Kumar

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

Pairwise key establishment is one of the fundamental security services in sensor networks which enables sensor nodes in a sensor network to communicate securely with each other using cryptographic techniques. It is not feasible to apply…

Cryptography and Security · Computer Science 2011-03-25 Ashok Kumar Das , Debasis Giri

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 problems of distributed fault detection…

Networking and Internet Architecture · Computer Science 2013-01-22 Mrinal Nandi , Anup Dewanji , Bimal Roy , Santanu Sarkar

We study the stability of wireless networks under stochastic arrival processes of packets, and design efficient, distributed algorithms that achieve stability in the SINR (Signal to Interference and Noise Ratio) interference model.…

Networking and Internet Architecture · Computer Science 2012-10-18 Eyjolfur I. Asgeirsson , Magnus M. Halldorsson , Pradipta Mitra

Graph-learning algorithms can fail when graph structure is adversarially perturbed, intrinsically noisy or constructed from imperfect observations. Here we show that some nodes bear much greater responsibility than others for allowing…

Machine Learning · Computer Science 2026-05-21 Yongyu Wang

In this paper we study the problem of testing graph isomorphism (GI) in the CONGEST distributed model. In this setting we test whether the distributive network, $G_U$, is isomorphic to $G_K$ which is given as an input to all the nodes in…

Data Structures and Algorithms · Computer Science 2020-03-03 Reut Levi , Moti Medina

Distributed scheduling algorithms for throughput or utility maximization in dense wireless multi-hop networks can have overwhelmingly high overhead, causing increased congestion, energy consumption, radio footprint, and security…

Signal Processing · Electrical Eng. & Systems 2022-03-29 Zhongyuan Zhao , Ananthram Swami , Santiago Segarra

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

We address the problem of distributed state estimation of a linear dynamical process in an attack-prone environment. Recent attempts to solve this problem impose stringent redundancy requirements on the measurement and communication…

Systems and Control · Electrical Eng. & Systems 2020-01-22 Aritra Mitra , Faiq Ghawash , Shreyas Sundaram , Waseem Abbas

In this work, water distribution systems are regarded as large sparse planar graphs with complex network characteristics and the relationship between important topological features of the network (i.e. structural robustness and loop…

Physics and Society · Physics 2010-09-23 A. Yazdani , P. Jeffrey

In this paper, we study the probabilistic caching for an $N$-tier wireless heterogeneous network (HetNet) using stochastic geometry. A general and tractable expression of the successful delivery probability (SDP) is first derived. We then…

Information Theory · Computer Science 2017-11-29 Kuikui Li , Chenchen Yang , Zhiyong Chen , Meixia Tao

Quantifying uncertainty in networks is an important step in modelling relationships and interactions between entities. We consider the challenge of bootstrapping an inhomogeneous random graph when only a single observation of the network is…

Computation · Statistics 2025-05-16 Emerald Dilworth , Ed Davis , Daniel J. Lawson

The paper considers a distributed robust estimation problem over a network with Markovian randomly varying topology. The objective is to deal with network variations locally, by switching observer gains at affected nodes only. We propose…

Systems and Control · Computer Science 2015-12-07 V. Ugrinovskii

A random geometric digraph $G_n$ is constructed by taking $\{X_1,X_2,... X_n\}$ in $\mathbb{R}^2$ independently at random with a common bounded density function. Each vertex $X_i$ is assigned at random a sector $S_i$ of central angle…

Combinatorics · Mathematics 2019-09-18 Yilun Shang

Efficient scheduling of transmissions is a key problem in wireless networks. The main challenge stems from the fact that optimal link scheduling involves solving a maximum weighted independent set (MWIS) problem, which is known to be…

Signal Processing · Electrical Eng. & Systems 2023-10-09 Zhongyuan Zhao , Gunjan Verma , Chirag Rao , Ananthram Swami , Santiago Segarra

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

The degrees are a classical and relevant way to study the topology of a network. They can be used to assess the goodness-of-fit for a given random graph model. In this paper we introduce goodness-of-fit tests for two classes of models.…

Statistics Theory · Mathematics 2019-07-30 Sarah Ouadah , Stéphane Robin , Pierre Latouche
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