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This work addresses the intrinsic relationship between trees and networks (i.e. graphs). A complete (invertible) mapping is presented which allows trees to be mapped into weighted graphs and then backmapped into the original tree without…

Physics and Society · Physics 2008-08-07 Luciano da Fontoura Costa , Francisco Aparecido Rodrigues

This paper studies infinite graphs produced from a natural unfolding operation applied to finite graphs. Graphs produced via such operations are of finite degree and automatic over the unary alphabet (that is, they can be described by…

Logic · Mathematics 2008-09-22 Bakhadyr Khoussainov , Jiamou Liu , Mia Minnes

In this work, we fully define the existing relationships between traditional optimality criteria and the connectivity of the underlying pose-graph in Active SLAM, characterizing, therefore, the connection between Graph Theory and the Theory…

Robotics · Computer Science 2022-04-25 Julio A. Placed , José A. Castellanos

We consider a network of agents that aim to learn some unknown state of the world using private observations and exchange of beliefs. At each time, agents observe private signals generated based on the true unknown state. Each agent might…

Systems and Control · Computer Science 2015-09-16 Mohammad Amin Rahimian , Shahin Shahrampour , Ali Jadbabaie

In this article, we propose a novel navigation framework that leverages a two layered graph representation of the environment for efficient large-scale exploration, while it integrates a novel uncertainty awareness scheme to handle dynamic…

Robotics · Computer Science 2024-02-07 Akash Patel , Mario A V Saucedo , Christoforos Kanellakis , George Nikolakopoulos

In this paper we quantify our limited information horizon, by measuring the information necessary to locate specific nodes in a network. To investigate different ways to overcome this horizon, and the interplay between communication and…

Disordered Systems and Neural Networks · Physics 2015-06-25 M. Rosvall , K. Sneppen

Operators of online social networks are increasingly sharing potentially sensitive information about users and their relationships with advertisers, application developers, and data-mining researchers. Privacy is typically protected by…

Cryptography and Security · Computer Science 2016-11-17 Arvind Narayanan , Vitaly Shmatikov

This article presents a theoretical investigation of generalized encoded forms of networks in a uniform multidimensional space. First, we study encoded networks with (finite) arbitrary node dimensions (or aspects), such as time instants or…

Discrete Mathematics · Computer Science 2023-04-25 Felipe S. Abrahão , Klaus Wehmuth , Hector Zenil , Artur Ziviani

With the growing amount of available temporal real-world network data, an important question is how to efficiently study these data. One can simply model a temporal network as either a single aggregate static network, or as a series of…

Social and Information Networks · Computer Science 2014-12-15 Yuriy Hulovatyy , Huili Chen , Tijana Milenkovic

In the Internet of Things (IoT) devices are exposed to various kinds of attacks when connected to the Internet. An attack detection mechanism that understands the limitations of these severely resource-constrained devices is necessary. This…

Cryptography and Security · Computer Science 2017-01-25 Nidhi Rastogi , James Hendler

During the last decade of network research focusing on structural and dynamical properties of networks, the role of network users has been more or less underestimated from the bird's-eye view of global perspective. In this era of global…

Physics and Society · Physics 2013-04-18 Sang Hoon Lee , Petter Holme

Time-Basic Petri nets, is a powerful formalism for modeling real-time systems where time constraints are expressed through time functions of marking's time description associated with transition, representing possible firing times. We…

Logic in Computer Science · Computer Science 2021-03-15 Matteo Camilli

Exploring unknown environments is a fundamental task in many domains, e.g., robot navigation, network security, and internet search. We initiate the study of a learning-augmented variant of the classical, notoriously hard online graph…

Machine Learning · Computer Science 2021-12-13 Franziska Eberle , Alexander Lindermayr , Nicole Megow , Lukas Nölke , Jens Schlöter

We address the problem of identifying a graph structure from the observation of signals defined on its nodes. Fundamentally, the unknown graph encodes direct relationships between signal elements, which we aim to recover from observable…

Social and Information Networks · Computer Science 2016-08-11 Santiago Segarra , Antonio G. Marques , Gonzalo Mateos , Alejandro Ribeiro

In this paper, we propose a method that, given a partial grid map of an indoor environment built by an autonomous mobile robot, estimates the amount of the explored area represented in the map, as well as whether the uncovered part is still…

Robotics · Computer Science 2024-06-21 Matteo Luperto , Marco Maria Ferrara , Giacomo Boracchi , Francesco Amigoni

Graphs are a basic tool for the representation of modern data. The richness of the topological information contained in a graph goes far beyond its mere interpretation as a one-dimensional simplicial complex. We show how topological…

Combinatorics · Mathematics 2018-10-11 Mattia G. Bergomi , Massimo Ferri , Lorenzo Zuffi

Tor is an anonymity network that allows offering and accessing various kinds of resources, known as hidden services, while guaranteeing sender and receiver anonymity. The Tor web is the set of web resources that exist on the Tor network,…

Social and Information Networks · Computer Science 2023-02-16 Massimo Bernaschi , Alessandro Celestini , Marco Cianfriglia , Stefano Guarino , Flavio Lombardi , Enrico Mastrostefano

Autonomous exploration requires a robot to explore an unknown environment while constructing an accurate map using Simultaneous Localization and Mapping (SLAM) techniques. Without prior information, the exploration performance is usually…

Robotics · Computer Science 2024-07-02 Ruofei Bai , Hongliang Guo , Wei-Yun Yau , Lihua Xie

The clandestine nature of covert networks makes reliable data difficult to obtain and leads to concerns with missing data. We explore the use of network models to represent missingness mechanisms. Exponential random graph models provide a…

Methodology · Statistics 2025-01-28 Jonathan Januar , H Colin Gallagher , Johan Koskinen

The discovery of small world and scale free properties of many real world networks has revolutionized the way we study, analyze, model and process networks. An important way to analyze these complex networks is to visualize them using graph…

Social and Information Networks · Computer Science 2023-04-05 Faraz Zaidi