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We consider the problem of detecting an epidemic in a population where individual diagnoses are extremely noisy. The motivation for this problem is the plethora of examples (influenza strains in humans, or computer viruses in smartphones,…

Social and Information Networks · Computer Science 2014-02-07 Eli A. Meirom , Chris Milling , Constantine Caramanis , Shie Mannor , Ariel Orda , Sanjay Shakkottai

Milgram empirically showed that people knowing only connections to their friends could locate any person in the U.S. in a few steps. Later research showed that social network topology enables a node aware of its full routing to find an…

Social and Information Networks · Computer Science 2021-08-24 Amr Elsisy , Boleslaw K. Szymanski , Jasmine A. Plum , Miao Qi , Alex Pentland

Exchangeable random graphs serve as an important probabilistic framework for the statistical analysis of network data. In this work we develop an alternative parameterization for a large class of exchangeable random graphs, where the nodes…

Statistics Theory · Mathematics 2020-05-01 Jing Lei

We confront a network model of human aging and mortality in which nodes represent health attributes that interact within a scale-free network topology, with observational data that uses both clinical and laboratory (pre-clinical) health…

Populations and Evolution · Quantitative Biology 2018-09-19 Spencer G. Farrell , Arnold B. Mitnitski , Olga Theou , Kenneth Rockwood , Andrew D. Rutenberg

In this paper we present a thorough analysis of the nature of news in different mediums across the ages, introducing a unique mathematical model to fit the characteristics of information spread. This model enhances the information diffusion…

Social and Information Networks · Computer Science 2017-06-23 James Flamino , Alexander Norman , Madison Wyatt

Localization is a fundamental task for sensor networks. Traditional network construction approaches allow to obtain localized networks requiring the nodes to be at least tri-connected (in 2D), i.e., the communication graph needs to be…

Systems and Control · Computer Science 2013-01-08 Gabriele Oliva , Stefano Panzieri , Federica Pascucci , Roberto Setola

Spreading processes on graphs are a natural model for a wide variety of real-world phenomena, including information spread over social networks and biological diseases spreading over contact networks. Often, the networks over which these…

Data Structures and Algorithms · Computer Science 2021-02-12 Jessica Enright , Kitty Meeks , George B. Mertzios , Viktor Zamaraev

Clustering a graph, i.e., assigning its nodes to groups, is an important operation whose best known application is the discovery of communities in social networks. Graph clustering and community detection have traditionally focused on…

Social and Information Networks · Computer Science 2015-01-09 Cecile Bothorel , Juan David Cruz , Matteo Magnani , Barbora Micenkova

In this paper, we use a partition of the links of a network in order to uncover its community structure. This approach allows for communities to overlap at nodes, so that nodes may be in more than one community. We do this by making a node…

Physics and Society · Physics 2009-07-24 T. S. Evans , R. Lambiotte

We consider network graphs $G=(V,E)$ in which adjacent nodes share common secrets. In this setting, certain techniques for perfect end-to-end security (in the sense of confidentiality, authenticity (implying integrity) and availability,…

Cryptography and Security · Computer Science 2023-01-19 Stefan Rass

Networks are widely used to model real-world systems and uncover their topological features. Network properties such as the degree distribution and shortest path length have been computed in numerous real-world networks, and most of them…

Social and Information Networks · Computer Science 2017-07-17 David Aparício , Pedro Ribeiro , Fernando Silva

Graphs are a powerful way to model interactions and relationships in data from a wide variety of application domains. In this setting, entities represented by vertices at the "center" of the graph are often more important than those…

Social and Information Networks · Computer Science 2014-11-06 Michael P. O'Brien , Blair D. Sullivan

This work clarifies the relation between network circuit (topology) and behavior (information transmission and synchronization) in active networks, e.g. neural networks. As an application, we show how to determine a network topology that is…

Chaotic Dynamics · Physics 2015-05-13 M. S. Baptista , J. X. de Carvalho , M. S. Hussein

Social networks facilitate the social space where actors or the users have ties among them. The ties and their patterns are based on their life styles and communication. Similarly, in online social media networks like Facebook, Twitter,…

Social and Information Networks · Computer Science 2019-04-11 Victor Stany Rozario , A. Z. M. Ehtesham Chowdhury , Muhammad Sarwar Jahan Morshed

This paper revisits two classical distributed problems in anonymous networks, namely spanning tree construction and topology recognition, from the point of view of graph covering theory. For both problems, we characterize necessary and…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-26 Arnaud Casteigts , Yves Métivier , John Michael Robson

In this paper we study the controllability of networked systems with static network topologies using tools from algebraic graph theory. Each agent in the network acts in a decentralized fashion by updating its state in accordance with a…

Systems and Control · Computer Science 2013-02-12 Ahmet Yasin Yazicioglu , Waseem Abbas , Magnus Egerstedt

We consider a fully connected network consisting of a source that maintains the current version of a file, $n$ nodes that use asynchronous gossip mechanisms to disseminate fresh information in the network, and an adversary who infects the…

Information Theory · Computer Science 2022-05-18 Priyanka Kaswan , Sennur Ulukus

Community detection, which focuses on clustering nodes or detecting communities in (mostly) a single network, is a problem of considerable practical interest and has received a great deal of attention in the research community. While being…

Machine Learning · Statistics 2017-11-07 Soumendu Sundar Mukherjee , Purnamrita Sarkar , Lizhen Lin

In this paper we introduce a new network reachability problem where the goal is to find the most reliable path between two nodes in a network, represented as a directed acyclic graph. Individual edges within this network may fail according…

Data Structures and Algorithms · Computer Science 2012-06-26 Allen Chang , Eyal Amir

Temporal graphs (in which edges are active at specified times) are of particular relevance for spreading processes on graphs, e.g.~the spread of disease or dissemination of information. Motivated by real-world applications, modification of…

Computational Complexity · Computer Science 2022-12-22 Jessica Enright , Kitty Meeks , Fiona Skerman
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