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We consider the task of graph exploration. An $n$-node graph has unlabeled nodes, and all ports at any node of degree $d$ are arbitrarily numbered $0,\dots, d-1$. A mobile agent has to visit all nodes and stop. The exploration time is the…

Data Structures and Algorithms · Computer Science 2016-11-17 Barun Gorain , Andrzej Pelc

We study the fundamental problem of graph exploration in dynamic graphs using mobile agents. We consider $1$-interval connected dynamic graphs, where the topology may change arbitrarily from round to round as long as the graph remains…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-15 Ashish Saxena , Anisur Rahaman Molla , Kaushik Mondal , Gokarna Sharma

We consider the problem of exploration of an anonymous, port-labeled, undirected graph with $n$ nodes and $m$ edges and diameter $D$, by a single mobile agent. Initially the agent does not know the graph topology nor any of the global…

Data Structures and Algorithms · Computer Science 2015-12-01 Artur Menc , Dominik Pająk , Przemysław Uznański

We consider the problem of periodic graph exploration in which a mobile entity with constant memory, an agent, has to visit all n nodes of an arbitrary undirected graph G in a periodic manner. Graphs are supposed to be anonymous, that is,…

Discrete Mathematics · Computer Science 2009-05-13 J. Czyzowicz , S. Dobrev , L. Gasieniec , D. Ilcinkas , J. Jansson , R. Klasing , I. Lignos , R. Martin , K. Sadakane , W. -K. Sung

Graph exploration is one of the fundamental tasks performed by a mobile agent in a graph. An $n$-node graph has unlabeled nodes, and all ports at any node of degree $d$ are arbitrarily numbered $0,\dots, d-1$. A mobile agent, initially…

Data Structures and Algorithms · Computer Science 2023-03-21 Andrzej Pelc

A mobile agent, starting from a node $s$ of a simple undirected connected graph $G=(V,E)$, has to explore all nodes and edges of $G$ using the minimum number of edge traversals. To do so, the agent uses a deterministic algorithm that allows…

Data Structures and Algorithms · Computer Science 2024-10-18 Stéphane Devismes , Yoann Dieudonné , Arnaud Labourel

We investigate the exploration of networks by a mobile agent. It is long known that, without global information about the graph, it is not possible to make the agent halts after the exploration except if the graph is a tree. We therefore…

Data Structures and Algorithms · Computer Science 2015-05-05 Jérémie Chalopin , Emmanuel Godard , Antoine Naudin

Moving an autonomous agent through an unknown environment is one of the crucial problems for robotics and network analysis. Therefore, it received a lot of attention in the last decades and was analyzed in many different settings. The graph…

Computational Complexity · Computer Science 2018-04-23 Hans-Joachim Böckenhauer , Janosch Fuchs , Walter Unger

In this paper, we study collision-free graph exploration in an anonymous pot labeled network. Two identical mobile agents, starting from different nodes in $G$ have to explore the nodes of $G$ in such a way that for every node $v$ in $G$,…

Data Structures and Algorithms · Computer Science 2024-10-24 Sajal K. Das , Amit Kumar Dhar , Barun Gorain , Madhuri Mahawar

We study the problem of deterministically exploring an undirected and initially unknown graph with $n$ vertices either by a single agent equipped with a set of pebbles, or by a set of collaborating agents. The vertices of the graph are…

Data Structures and Algorithms · Computer Science 2018-05-10 Yann Disser , Jan Hackfeld , Max Klimm

In the graph exploration problem, a team of mobile computational entities, called agents, arbitrarily positioned at some nodes of a graph, must cooperate so that each node is eventually visited by at least one agent. In the literature, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-21 Giuseppe Antonio Di Luna , Stefan Dobrev , Paola Flocchini , Nicola Santoro

We consider the problem of collective exploration of a known $n$-node edge-weighted graph by $k$ mobile agents that have limited energy but are capable of energy transfers. The agents are initially placed at an arbitrary subset of nodes in…

Discrete Mathematics · Computer Science 2021-02-26 J. Czyzowicz , S. Dobrev , R. Killick , E. Kranakis , D. Krizanc , L. Narayanan , J. Opatrny , D. Pankratov , S. Shende

We investigate the exploration and mapping of anonymous graphs by a mobile agent. It is long known that, without global information about the graph, it is not possible to make the agent halt after the exploration except if the graph is a…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-21 Jérémie Chalopin , Emmanuel Godard , Antoine Naudin

We investigate two fundamental problems in mobile computing: exploration and rendezvous, with two distinct mobile agents in an unknown graph. The agents may communicate by reading and writing information on whiteboards that are located at…

Multiagent Systems · Computer Science 2024-07-08 Romain Cosson

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

We study deterministic exploration by a single agent in $T$-interval-connected graphs, a standard model of dynamic networks in which, for every time window of length $T$, the intersection of the graphs within the window is connected. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-07 Yuichi Sudo , Naoki Kitamura , Masahiro Shibata , Junya Nakamura , Sébastien Tixeuil , Toshimitsu Masuzawa , Koichi Wada

Consider a group of autonomous mobile computational entities, called agents, arbitrarily placed at some nodes of a dynamic but always connected ring. The agents neither have any knowledge about the size of the ring nor have a common notion…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-07 Archak Das , Kaustav Bose , Buddhadeb Sau

A team consisting of an unknown number of mobile agents, starting from different nodes of an unknown network, possibly at different times, have to meet at the same node. Agents are anonymous (identical), execute the same deterministic…

Data Structures and Algorithms · Computer Science 2016-03-15 Yoann Dieudonné , Andrzej Pelc

In this paper, we present two self-stabilizing algorithms that enable a single (mobile) agent to explore graphs. Starting from any initial configuration, \ie regardless of the initial states of the agent and all nodes, as well as the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-15 Yuichi Sudo , Fukuhito Ooshita , Sayaka Kamei

We study the exploration problem by mobile agents in two prominent models of dynamic graphs: $1$-Interval Connectivity and Connectivity Time. The $1$-Interval Connectivity model was introduced by Kuhn et al.~[STOC 2010], and the…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-21 Ashish Saxena , Kaushik Mondal
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