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Gathering in Carrier Graphs: Meeting via Public Transportation System

Authors Haozhi Zheng , Ryota Eguchi , Fukuhito Ooshita , Michiko Inoue

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Author Details

Haozhi Zheng
  • Graduate School of Science and Technology, Nara Institute of Science and Technology, Japan
Ryota Eguchi
  • Graduate School of Science and Technology, Nara Institute of Science and Technology, Japan
Fukuhito Ooshita
  • Faculty of Engineering, Fukui University of Technology, Japan
Michiko Inoue
  • Graduate School of Science and Technology, Nara Institute of Science and Technology, Japan

Funding

This work was supported by JSPS KAKENHI Grant Numbers 22K11903, 23H03347. The second author was supported by JSPS KAKENHI Grant Number 22H03569.

Cite AsGet BibTex

Haozhi Zheng, Ryota Eguchi, Fukuhito Ooshita, and Michiko Inoue. Gathering in Carrier Graphs: Meeting via Public Transportation System. In 3rd Symposium on Algorithmic Foundations of Dynamic Networks (SAND 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 292, pp. 21:1-21:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
https://doi.org/10.4230/LIPIcs.SAND.2024.21

Abstract

The gathering problem requires multiple mobile agents in a network to meet at a single location. This paper investigates the gathering problem in carrier graphs, a subclass of recurrence of edge class of time-varying graphs. By focusing on three subclasses of single carrier graphs - circular, simple, and arbitrary - we clarify the conditions under which the problem can be solved, considering prior knowledge endowed to agents and obtainable online information, such as the count and identifiers of agents or sites. We propose algorithms for solvable cases and analyze the complexities and we give proofs for the impossibility for unsolvable cases. We also consider general carrier graphs with multiple carriers and propose an algorithm for arbitrary carrier graphs. To the best of our knowledge, this is the first work that investigates the gathering problem in carrier graphs.

Subject Classification

ACM Subject Classification
  • Theory of computation → Distributed algorithms
Keywords
  • Gathering
  • Carrier Graph
  • Time-varying Graph
  • Mobile agent

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