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Our goal is to infer the topology of a network when (i) we can send probes between sources and receivers at the edge of the network and (ii) intermediate nodes can perform simple network coding operations, i.e., additions. Our key intuition…

Networking and Internet Architecture · Computer Science 2013-02-07 Pegah Sattari , Christina Fragouli , Athina Markopoulou

The task of representing entire graphs has seen a surge of prominent results, mainly due to learning convolutional neural networks (CNNs) on graph-structured data. While CNNs demonstrate state-of-the-art performance in graph classification…

Machine Learning · Computer Science 2018-06-11 Sergey Ivanov , Evgeny Burnaev

We propose and analyze a recipient-anonymous stochastic routing model to study a fundamental trade-off between anonymity and routing delay. An agent wants to quickly reach a goal vertex in a network through a sequence of routing actions,…

Computer Science and Game Theory · Computer Science 2021-01-01 Mine Su Erturk , Kuang Xu

This work addresses the challenge of patrolling regular grid graphs of any dimension using a single mobile agent with minimal memory and limited sensing range. We show that it is impossible to patrol some grid graphs with $0$ bits of…

Robotics · Computer Science 2024-05-14 Michael Amir , Dmitry Rabinovich , Alfred M. Bruckstein

We study the problem of exploring all vertices of an undirected weighted graph that is initially unknown to the searcher. An edge of the graph is only revealed when the searcher visits one of its endpoints. Beginning at some start node, the…

Data Structures and Algorithms · Computer Science 2023-10-30 Robin Fritsch

We consider collaborative graph exploration with a set of $k$ agents. All agents start at a common vertex of an initially unknown graph and need to collectively visit all other vertices. We assume agents are deterministic, vertices are…

Discrete Mathematics · Computer Science 2016-10-07 Yann Disser , Frank Mousset , Andreas Noever , Nemanja Škorić , Angelika Steger

In many real-world networks, nodes have class labels, attributes, or variables that affect the network's topology. If the topology of the network is known but the labels of the nodes are hidden, we would like to select a small subset of…

Information Theory · Computer Science 2011-09-16 Cristopher Moore , Xiaoran Yan , Yaojia Zhu , Jean-Baptiste Rouquier , Terran Lane

Memory is an important cognitive function for humans. How a brain with such a small power can complete such a complex memory function, the working mechanism behind this is undoubtedly fascinating. Engram theory views memory as the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-13 Hui Wei , Weihua Miao , Fushun Li

We study the problem of online tree exploration by a deterministic mobile agent. Our main objective is to establish what features of the model of the mobile agent and the environment allow linear exploration time. We study agents that, upon…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-28 Dominik Bojko , Karol Gotfryd , Dariusz R. Kowalski , Dominik Pajak

We address a problem of area protection in graph-based scenarios with multiple mobile agents where connectivity is maintained among agents to ensure they can communicate. The problem consists of two adversarial teams of agents that move in…

Multiagent Systems · Computer Science 2017-09-06 Marika Ivanová , Pavel Surynek , Diep Thi Ngoc Nguyen

The comprehensive characterization of the structure of complex networks is essential to understand the dynamical processes which guide their evolution. The discovery of the scale-free distribution and the small world property of real…

Computational Physics · Physics 2009-11-13 Paulino R. Villas Boas , Francisco A. Rodrigues , Gonzalo Travieso , Luciano da F. Costa

Can we learn how to explore unknown spaces efficiently? To answer this question, we study the problem of Online Graph Exploration, the online version of the Traveling Salesperson Problem. We reformulate graph exploration as a reinforcement…

Machine Learning · Computer Science 2021-04-07 Ioannis Chiotellis , Daniel Cremers

To understand the formation, evolution, and function of complex systems, it is crucial to understand the internal organization of their interaction networks. Partly due to the impossibility of visualizing large complex networks, resolving…

Physics and Society · Physics 2011-11-30 Takashi Nishikawa , Adilson E. Motter

We study here the social network generated by the asynchronous visits, to a fixed set of sites, of mobile agents modelled as independent random walks on the plane lattice. The social network is constructed by assuming that a group of agents…

Physics and Society · Physics 2025-11-17 Paolo Cermelli , Silvia Marchese , Laura Sacerdote , Cristina Zucca

In this paper we describe a generic scheme for the parallel exploration of directed acyclic graphs starting from one or more `roots' of the graph. Our scheme is designed for graphs with the following properties, (i) discovering neighbors at…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-13 Rahul Prabhu , Amit Verma , Meera Sitharam

We give lower bounds for various natural node- and edge-based local strategies for exploring a graph. We consider this problem both in the setting of an arbitrary graph as well as the abstraction of a geometric exploration of a space by a…

Computational Geometry · Computer Science 2016-03-21 Aditya Kumar Akash , Sandor P. Fekete , Seoung Kyou Lee , Alejandro Lopez-Ortiz , Daniela Maftuleac , James McLurkin

Social media data are often modeled as heterogeneous graphs with multiple types of nodes and edges. We present a discovery algorithm that first chooses a "background" graph based on a user's analytical interest and then automatically…

Social and Information Networks · Computer Science 2021-04-23 Subhasis Dasgupta , Amarnath Gupta

We address the problem of active visual exploration of large 360{\deg} inputs. In our setting an active agent with a limited camera bandwidth explores its 360{\deg} environment by changing its viewing direction at limited discrete time…

Computer Vision and Pattern Recognition · Computer Science 2019-12-02 Soroush Seifi , Tinne Tuytelaars

We consider the problem of human-assisted graph search: given a directed acyclic graph with some (unknown) target node(s), we consider the problem of finding the target node(s) by asking an omniscient human questions of the form "Is there a…

Anonymous social networks present a number of new and challenging problems for existing Social Network Analysis techniques. Traditionally, existing methods for analysing graph structure, such as community detection, required global…

Data Structures and Algorithms · Computer Science 2021-06-22 Alvaro Garcia-Recuero