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The introduction and study of dispersing mobile robots across the nodes of an anonymous graph have recently gained traction and have been explored within various graph classes and settings. While optimal dispersion solution was established…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-06 Rik Banerjee , Manish Kumar , Anisur Rahaman Molla

The problem of dispersion of mobile robots on a graph asks that $n$ robots initially placed arbitrarily on the nodes of an $n$-node anonymous graph, autonomously move to reach a final configuration where exactly each node has at most one…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-04 Anisur Rahaman Molla , Kaushik Mondal , William K. Moses

The mobile robot dispersion problem on graphs asks $k\leq n$ robots placed initially arbitrarily on the nodes of an $n$-node anonymous graph to reposition autonomously to reach a configuration in which each robot is on a distinct node of…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-30 Ajay D. Kshemkalyani , Anisur Rahaman Molla , Gokarna Sharma

The dispersion problem on graphs requires $k$ robots placed arbitrarily at the $n$ nodes of an anonymous graph, where $k \leq n$, to coordinate with each other to reach a final configuration in which each robot is at a distinct node of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-01 Ajay D. Kshemkalyani , Faizan Ali

Consider a team of $k \leq n$ autonomous mobile robots initially placed at a node of an arbitrary graph $G$ with $n$ nodes. The dispersion problem asks for a distributed algorithm that allows the robots to reach a configuration in which…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-07 Archak Das , Kaustav Bose , Buddhadeb Sau

We consider the mobile robot dispersion problem in the presence of faulty robots (crash-fault). Mobile robot dispersion consists of $k\leq n$ robots in an $n$-node anonymous graph. The goal is to ensure that regardless of the initial…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-23 Prabhat Kumar Chand , Manish Kumar , Anisur Rahaman Molla , Sumathi Sivasubramaniam

We consider cooperation among insects, modeled as cooperation between mobile robots on a graph. Within this setting, we consider the problem of mobile robot dispersion on graphs. The study of mobile robots on a graph is an interesting…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-28 Anisur Rahaman Molla , William K. Moses

Given an undirected, anonymous, port-labeled graph of $n$ memory-less nodes, $m$ edges, and degree $\Delta$, we consider the problem of dispersing $k\leq n$ robots (or tokens) positioned initially arbitrarily on one or more nodes of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-05 Ajay D. Kshemkalyani , Gokarna Sharma

We introduce a new problem in the domain of mobile robots, which we term dispersion. In this problem, $n$ robots are placed in an $n$ node graph arbitrarily and must coordinate with each other to reach a final configuration such that…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-18 John Augustine , William K. Moses

We study the dispersion problem in anonymous port-labeled graphs: $k \leq n$ mobile agents, each with a unique ID and initially located arbitrarily on the nodes of an $n$-node graph with maximum degree $\Delta$, must autonomously relocate…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-03 Debasish Pattanayak , Ajay D. Kshemkalyani , Manish Kumar , Anisur Rahaman Molla , Gokarna Sharma

The dispersion problem on graphs asks $k\leq n$ robots placed initially arbitrarily on the nodes of an $n$-node anonymous graph to reposition autonomously to reach a configuration in which each robot is on a distinct node of the graph. This…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-05 Ajay D. Kshemkalyani , Anisur Rahaman Molla , Gokarna Sharma

This paper considers the problem of Byzantine dispersion and extends previous work along several parameters. The problem of Byzantine dispersion asks: given $n$ robots, up to $f$ of which are Byzantine, initially placed arbitrarily on an…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-28 Anisur Rahaman Molla , Kaushik Mondal , William K. Moses

Given a set of co-located mobile robots in an unknown anonymous graph, the robots must relocate themselves in distinct graph nodes to solve the dispersion problem. In this paper, we consider the dispersion problem for silent robots…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-13 Bibhuti Das , Barun Gorain , Kaushik Mondal , Krishnendu Mukhopadhyaya , Supantha Pandit

The dispersion problem has received much attention recently in the distributed computing literature. In this problem, $k\leq n$ agents placed initially arbitrarily on the nodes of an $n$-node, $m$-edge anonymous graph of maximum degree…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-21 Ajay D. Kshemkalyani , Manish Kumar , Anisur Rahaman Molla , Gokarna Sharma

In this work, we study the problem of dispersion of mobile robots on dynamic rings. The problem of dispersion of $n$ robots on an $n$ node graph, introduced by Augustine and Moses Jr. [1], requires robots to coordinate with each other and…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-17 Ankush Agarwalla , John Augustine , William K. Moses , Madhav Sankar K. , Arvind Krishna Sridhar

The well-studied DISPERSION problem is a fundamental coordination problem in distributed robotics, where a set of mobile robots must relocate so that each occupies a distinct node of a network. DISPERSION assumes that a robot can settle at…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-06 Himani , Supantha Pandit , Gokarna Sharma

The aim of the dispersion problem is to place a set of $k(\leq n)$ mobile robots in the nodes of an unknown graph consisting of $n$ nodes such that in the final configuration each node contains at most one robot, starting from any arbitrary…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-13 Tanvir Kaur , Kaushik Mondal

In the dispersion problem, a set of $k$ co-located mobile robots must relocate themselves in distinct nodes of an unknown network. The network is modeled as an anonymous graph $G=(V,E)$, where the nodes of the graph are not labeled. The…

Data Structures and Algorithms · Computer Science 2022-02-14 Barun Gorain , Partha Sarathi Mandal , Kaushik Mondal , Supantha Pandit

Consider that there are $k\le n$ agents in a simple, connected, and undirected graph $G=(V,E)$ with $n$ nodes and $m$ edges. The goal of the dispersion problem is to move these $k$ agents to mutually distinct nodes. Agents can communicate…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-21 Yuichi Sudo , Masahiro Shibata , Junya Nakamura , Yonghwan Kim , Toshimitsu Masuzawa

In the $k$-dispersion problem, we need to select $k$ nodes of a given graph so as to maximize the minimum distance between any two chosen nodes. This can be seen as a generalization of the independent set problem, where the goal is to…

Data Structures and Algorithms · Computer Science 2017-06-29 Paweł Gawrychowski , Nadav Krasnopolsky , Shay Mozes , Oren Weimann
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