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A mobile agent has to reach a target in the Euclidean plane. Both the agent and the target are modeled as points. In the beginning, the agent is at distance at most $D>0$ from the target. Reaching the target means that the agent gets at a…

数据结构与算法 · 计算机科学 2017-10-20 Andrzej Pelc

Initial knowledge regarding group size can be crucial for collective performance. We study this relation in the context of the {\em Ants Nearby Treasure Search (ANTS)} problem \cite{FKLS}, which models natural cooperative foraging behavior…

分布式、并行与集群计算 · 计算机科学 2012-05-22 Ofer Feinerman , Amos Korman

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…

分布式、并行与集群计算 · 计算机科学 2016-04-21 Jérémie Chalopin , Emmanuel Godard , Antoine Naudin

Given a connected, undirected, simple graph $G = (V, E)$ and $p \le |V|$ pebbles labeled $1,..., p$, a configuration of these $p$ pebbles is an injective map assigning the pebbles to vertices of $G$. Let $S$ and $D$ be two such…

数据结构与算法 · 计算机科学 2013-01-22 Jingjin Yu

Distance-2-Dispersion (D-2-D) problem aims to disperse $k$ mobile agents starting from an arbitrary initial configuration on an anonymous port-labeled graph $G$ with $n$ nodes such that no two agents occupy adjacent nodes in the final…

分布式、并行与集群计算 · 计算机科学 2024-11-12 Tanvir Kaur , Barun Gorain , Kaushik Mondal

Graph Exploration problems ask a searcher to explore an unknown environment. The environment is modeled as a graph, where the searcher needs to visit each vertex beginning at some vertex. Treasure Hunt problems are a variation of Graph…

计算复杂性 · 计算机科学 2024-12-02 Janosch Fuchs , Christoph Grüne , Tom Janßen

Graph pebbling is the study of moving discrete pebbles from certain initial distributions on the vertices of a graph to various target distributions via pebbling moves. A pebbling move removes two pebbles from a vertex and places one pebble…

组合数学 · 数学 2011-03-24 David S. Herscovici , Benjamin D. Hester , Glenn H. Hurlbert

A temporal graph is a graph in which the edge set can change from one time step to the next. The temporal graph exploration problem TEXP is the problem of computing a foremost exploration schedule for a temporal graph, i.e., a temporal walk…

数据结构与算法 · 计算机科学 2021-03-17 Thomas Erlebach , Michael Hoffmann , Frank Kammer

Pebble games are single-player games on DAGs involving placing and moving pebbles on nodes of the graph according to a certain set of rules. The goal is to pebble a set of target nodes using a minimum number of pebbles. In this paper, we…

计算复杂性 · 计算机科学 2018-07-16 Erik D. Demaine , Quanquan C. Liu

We consider the following distributed pursuit-evasion problem. A team of mobile agents called searchers starts at an arbitrary node of an unknown $n$-node network. Their goal is to execute a search strategy that guarantees capturing a fast…

离散数学 · 计算机科学 2021-01-19 Dariusz Dereniowski , Dorota Urbańska

Two identical anonymous mobile agents have to meet at a node of the infinite oriented grid whose nodes are unlabeled. This problem is known as rendezvous. The agents execute the same deterministic algorithm. Time is divided into rounds, and…

分布式、并行与集群计算 · 计算机科学 2024-07-23 Younan Gao , Andrzej Pelc

The main topic of this paper is motivated by a localization problem in cellular networks. Given a graph $G$ we want to localize a walking agent by checking his distance to as few vertices as possible. The model we introduce is based on a…

In a rendezvous task, some mobile agents dispersed in a network have to gather at an arbitrary common site. We consider the rendezvous problem on the infinite labeled line, with $2$ agents, without communication, and a synchronous notion of…

分布式、并行与集群计算 · 计算机科学 2026-02-26 Yann Bourreau , Ananth Narayanan , Alexandre Nolin

We consider the problem of finding an edge in a hidden undirected graph $G = (V, E)$ with $n$ vertices, in a model where we only allowed queries that ask whether or not a subset of vertices contains an edge. We study the non-adaptive model…

数据结构与算法 · 计算机科学 2022-07-07 Ron Kupfer , Noam Nisan

Research involving computing with mobile agents is a fast-growing field, given the advancement of technology in automated systems, e.g., robots, drones, self-driving cars, etc. Therefore, it is pressing to focus on solving classical network…

分布式、并行与集群计算 · 计算机科学 2023-09-06 Prabhat Kumar Chand , Anisur Rahaman Molla , Sumathi Sivasubramaniam

Several mobile agents, modelled as deterministic automata, navigate in an infinite line in synchronous rounds. All agents start in the same round. In each round, an agent can move to one of the two neighboring nodes, or stay idle. Agents…

分布式、并行与集群计算 · 计算机科学 2025-07-08 Younan Gao , Andrzej Pelc

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…

数据结构与算法 · 计算机科学 2015-05-05 Jérémie Chalopin , Emmanuel Godard , Antoine Naudin

In collective tree exploration, a team of $k$ mobile agents is tasked to go through all edges of an unknown tree as fast as possible. An edge of the tree is revealed to the team when one agent becomes adjacent to that edge. The agents start…

数据结构与算法 · 计算机科学 2023-11-01 Romain Cosson

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…

数据结构与算法 · 计算机科学 2023-03-21 Andrzej Pelc

In the Travelling Salesman Problem, every vertex of an edge-weighted graph has to be visited by an agent who traverses the edges of the graph. In this problem, it is usually assumed that the costs of each edge are given in advance, making…

数据结构与算法 · 计算机科学 2025-01-31 Matthias Gehnen , Ralf Klasing , Émile Naquin