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Reachability is the problem of deciding whether there is a path from one vertex to the other in the graph. Standard graph traversal algorithms such as DFS and BFS take linear time to decide reachability however their space complexity is…

Computational Complexity · Computer Science 2019-02-06 Rahul Jain , Raghunath Tewari

Graph-based environments pose unique challenges to multi-agent reinforcement learning. In decentralized approaches, agents operate within a given graph and make decisions based on partial or outdated observations. The size of the observed…

Multiagent Systems · Computer Science 2024-06-05 Jannis Weil , Zhenghua Bao , Osama Abboud , Tobias Meuser

With the introduction of the graph-theoretic time-inconsistent planning model due to Kleinberg and Oren, it has been possible to investigate the computational complexity of how a task designer best can support a present-biased agent in…

Computational Complexity · Computer Science 2019-11-19 Fedor V. Fomin , Torstein J. F. Strømme

In this paper we tackle the problem of routing multiple agents in a coordinated manner. This is a complex problem that has a wide range of applications in fleet management to achieve a common goal, such as mapping from a swarm of robots and…

Artificial Intelligence · Computer Science 2020-08-18 Quinlan Sykora , Mengye Ren , Raquel Urtasun

We study the earliest arrival problem in road networks with static time-dependent functions as arc weights. We propose and evaluate the following simple algorithm: (1) average the travel time in k time windows, (2) compute a shortest…

Data Structures and Algorithms · Computer Science 2017-07-03 Ben Strasser

Graph planning gives rise to fundamental algorithmic questions such as shortest path, traveling salesman problem, etc. A classical problem in discrete planning is to consider a weighted graph and construct a path that maximizes the sum of…

Artificial Intelligence · Computer Science 2018-02-13 Krishnendu Chatterjee , Laurent Doyen

Temporal graphs represent networks in which connections change over time, with edges available only at specific moments. Motivated by applications in logistics, multi-agent information spreading, and wireless networks, we introduce the…

Data Structures and Algorithms · Computer Science 2026-02-13 Daniele Carnevale , Gianlorenzo D'Angelo

A group of mobile agents is given a task to explore an edge-weighted graph $G$, i.e., every vertex of $G$ has to be visited by at least one agent. There is no centralized unit to coordinate their actions, but they can freely communicate…

Discrete Mathematics · Computer Science 2019-02-20 Dorota Osula

Self-stabilization is a versatile technique to withstand any transient fault in a distributed system. Mobile robots (or agents) are one of the emerging trends in distributed computing as they mimic autonomous biologic entities. The…

Data Structures and Algorithms · Computer Science 2009-09-29 Lélia Blin , Maria Gradinariu Potop-Butucaru , Sébastien Tixeuil

Given an undirected graph G, the edge orientation problem asks for assigning a direction to each edge to convert G into a directed graph. The aim is to minimize the maximum out degree of a vertex in the resulting directed graph. This…

Data Structures and Algorithms · Computer Science 2024-04-23 H. Reinstädtler , C. Schulz , B. Uçar

We consider discrete dynamical systems of "ant-like" agents engaged in a sequence of pursuits on a graph environment. The agents emerge one by one at equal time intervals from a source vertex $s$ and pursue each other by greedily attempting…

Discrete Mathematics · Computer Science 2019-08-09 Michael Amir , Alfred M. Bruckstein

Consider a small group of mobile agents whose goal is to locate a certain cell in a two-dimensional infinite grid. The agents operate in an asynchronous environment, where in each discrete time step, an arbitrary subset of the agents…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-09 Sebastian Brandt , Jara Uitto , Roger Wattenhofer

We have a set of processors (or agents) and a set of graph networks defined over some vertex set. Each processor can access a subset of the graph networks. Each processor has a demand specified as a pair of vertices $<u, v>$, along with a…

Data Structures and Algorithms · Computer Science 2012-10-08 Venkatesan T. Chakaravarthy , Sambuddha Roy , Yogish Sabharwal

In the Multiagent Path Finding problem (MAPF for short), we focus on efficiently finding non-colliding paths for a set of $k$ agents on a given graph $G$, where each agent seeks a path from its source vertex to a target. An important…

Computational Complexity · Computer Science 2023-12-18 Foivos Fioravantes , Dušan Knop , Jan Matyáš Křišťan , Nikolaos Melissinos , Michal Opler

In this paper, we consider the partial gathering problem of mobile agents in asynchronous unidirectional rings equipped with whiteboards on nodes. The partial gathering problem is a new generalization of the total gathering problem. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-09-11 Masahiro Shibata , Shinji Kawai , Fukuhito Ooshita , Hirotsugu Kakugawa , Toshimitsu Masuzawa

While a natural fit for modeling and understanding mobile networks, time-varying graphs remain poorly understood. Indeed, many of the usual concepts of static graphs have no obvious counterpart in time-varying ones. In this paper, we…

Networking and Internet Architecture · Computer Science 2012-08-01 John Whitbeck , Marcelo Dias de Amorim , Vania Conan , Jean-Loup Guillaume

Consider the following broadcasting process run on a connected graph $G=(V,E)$. Suppose that $k \ge 2$ agents start on vertices selected from $V$ uniformly and independently at random. One of the agents has a message that she wants to…

Combinatorics · Mathematics 2022-02-28 Reaz Huq , Pawel Pralat

We study two stylized, multi-agent models aimed at investing a limited, indivisible resource in public transportation. In the first model, we face the decision of which potential stops to open along a (e.g., bus) path, given agents' travel…

Computer Science and Game Theory · Computer Science 2026-02-04 Martin Bullinger , Edith Elkind , Kassian Köck

In this paper, we consider a multiple-access fading channel where $N$ users transmit to a single base station (BS) within a limited number of time slots. We assume that each user has a fixed amount of energy available to be consumed over…

Information Theory · Computer Science 2017-02-10 Antonious M. Girgis , Amr El-Keyi , Mohammed Nafie

Consider an agent exploring an unknown graph in search of some goal state. As it walks around the graph, it learns the nodes and their neighbors. The agent only knows where the goal state is when it reaches it. How do we reach this goal…

Data Structures and Algorithms · Computer Science 2023-01-02 Siddhartha Banerjee , Vincent Cohen-Addad , Anupam Gupta , Zhouzi Li
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