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This paper presents efficient distributed algorithms for a number of fundamental problems in the area of graph sparsification: We provide the first deterministic distributed algorithm that computes an ultra-sparse spanner in…

Data Structures and Algorithms · Computer Science 2022-09-26 Marcel Bezdrighin , Michael Elkin , Mohsen Ghaffari , Christoph Grunau , Bernhard Haeupler , Saeed Ilchi , Václav Rozhoň

A key task in the study of networked systems is to derive local and global properties that impact connectivity, synchronizability, and robustness; computing shortest paths or geodesics yields measures of network connectivity that can…

Social and Information Networks · Computer Science 2025-03-05 Sahil Loomba , Nick S. Jones

We define a general variant of the graph clustering problem where the criterion of density for the clusters is (high) connectivity. In {\sc Clustering to Given Connectivities}, we are given an $n$-vertex graph $G$, an integer $k$, and a…

Data Structures and Algorithms · Computer Science 2018-04-23 Petr A. Golovach , Dimitrios M. Thilikos

We consider performance deterioration of interconnected linear dynamical networks subject to exogenous stochastic disturbances. The focus of this paper is on first-order and second-order linear consensus networks. We employ the expected…

Optimization and Control · Mathematics 2014-12-19 Milad Siami , Nader Motee

Sparse recovery can recover sparse signals from a set of underdetermined linear measurements. Motivated by the need to monitor large-scale networks from a limited number of measurements, this paper addresses the problem of recovering sparse…

Information Theory · Computer Science 2015-03-20 Meng Wang , Weiyu Xu , Enrique Mallada , Ao Tang

Random geometric graphs (RGGs) are commonly used to model networked systems that depend on the underlying spatial embedding. We concern ourselves with the probability distribution of an RGG, which is crucial for studying its random…

Information Theory · Computer Science 2018-01-16 Mihai-Alin Badiu , Justin P. Coon

Provenance embedding algorithms are well known for tracking the footprints of information flow in wireless networks. Recently, low-latency provenance embedding algorithms have received traction in vehicular networks owing to strict…

Information Theory · Computer Science 2022-04-04 Suraj Sajeev , Manish Bansal , Sriraam S , J. Harshan , Huzur Saran , Yih-Chun Hu

We consider the problem of designing an overlay network and routing mechanism that permits finding resources efficiently in a peer-to-peer system. We argue that many existing approaches to this problem can be modeled as the construction of…

Data Structures and Algorithms · Computer Science 2007-05-23 James Aspnes , Zoe Diamadi , Gauri Shah

In multi-agent systems, strong connectivity of the communication network is often crucial for establishing consensus protocols, which underpin numerous applications in decision-making and distributed optimization. However, this connectivity…

Optimization and Control · Mathematics 2024-11-12 Guilherme Ramos , Diogo Poças , Sérgio Pequito

The design of robust supply and distribution systems is one of the fundamental challenges at the interface of network science and logistics. Given the multitude of performance criteria, real-world constraints, and external influences acting…

Social and Information Networks · Computer Science 2021-12-07 Alexey Lyutov , Yilmaz Uygun , Marc-Thorsten Hütt

We consider a dynamic model for competition in a social network, where two strategic agents have fixed beliefs and the non-strategic/regular agents adjust their states according to a distributed consensus protocol. We suppose that one…

Social and Information Networks · Computer Science 2021-05-06 M. Bini , P. Frasca , C. Ravazzi , F. Dabbene

Recent control trends are increasingly relying on communication networks and wireless channels to close the loop for Internet-of-Things applications. Traditionally these approaches are model-based, i.e., assuming a network or channel model…

Systems and Control · Electrical Eng. & Systems 2019-11-11 Konstantinos Gatsis , George J. Pappas

In a sensor network, in practice, the communication among sensors is subject to:(1) errors or failures at random times; (3) costs; and(2) constraints since sensors and networks operate under scarce resources, such as power, data rate, or…

Information Theory · Computer Science 2009-11-13 Soummya Kar , Jose M. F. Moura

In engineering applications, one of the major challenges today is to develop reliable and robust control algorithms for complex networked systems. Controllability and observability of such systems play a crucial role in the design process.…

Numerical Analysis · Mathematics 2016-11-14 Michael Dellnitz , Stefan Klus

User connectivity patterns in network applications are known to be heterogeneous, and to follow periodic (daily and weekly) patterns. In many cases, the regularity and the correlation of those patterns is problematic: for network…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-18 Matteo Dell'Amico , Maurizio Filippone , Pietro Michiardi , Yves Roudier

We study the problem of power-efficient routing for multihop wireless ad hoc sensor networks. The guiding insight of our work is that unlike an ad hoc wireless network, a wireless ad hoc sensor network does not require full connectivity…

Networking and Internet Architecture · Computer Science 2008-07-18 Amitabha Bagchi

Sustainable research on computational models of neuronal networks requires published models to be understandable, reproducible, and extendable. Missing details or ambiguities about mathematical concepts and assumptions, algorithmic…

In a social network, the strength of relationships between users can significantly affect the stability of the network. In this paper, we use the k-truss model to measure the stability of a social network. To identify critical connections,…

Social and Information Networks · Computer Science 2019-07-01 Wenjie Zhu , Mengqi Zhang , Chen Chen , Xiaoyang Wang , Fan Zhang , Xuemin Lin

This paper examines the impact of static sparsity on the robustness of a trained network to weight perturbations, data corruption, and adversarial examples. We show that, up to a certain sparsity achieved by increasing network width and…

Computer Vision and Pattern Recognition · Computer Science 2022-06-23 Lukas Timpl , Rahim Entezari , Hanie Sedghi , Behnam Neyshabur , Olga Saukh

We propose a novel way of reducing the number of parameters in the storage-hungry fully connected layers of a neural network by using pre-defined sparsity, where the majority of connections are absent prior to starting training. Our results…

Machine Learning · Computer Science 2019-04-29 Sourya Dey , Kuan-Wen Huang , Peter A. Beerel , Keith M. Chugg