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Natural Calamities Demand More Rescuers: Exploring Connectivity Time Dynamic Graphs

  • Ashish Saxena
  • , Kaushik Mondal

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We study the exploration problem by mobile agents in Connectivity Time dynamic graphs. The Connectivity Time model was introduced by Michail et al. [JPDC 2014] and is arguably one of the weakest dynamic graph connectivity models. We prove that exploration is impossible in such graphs using (n1)(n2)/2 mobile agents starting from an arbitrary initial configuration, even when agents have full knowledge of system parameters, global communication, full visibility, and infinite memory. We then present an exploration algorithm that uses (n1)(n2)/2 + 1 agents equipped with global communication, 1-hop visibility and O(log n) memory.

Original languageEnglish
Title of host publication39th International Symposium on Distributed Computing, DISC 2025
EditorsDariusz R. Kowalski
PublisherSchloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing
ISBN (Electronic)9783959774024
DOIs
StatePublished - 1 Jan 2025
Externally publishedYes
Event39th International Symposium on Distributed Computing, DISC 2025 - Berlin, Germany
Duration: 27 Oct 202531 Oct 2025

Publication series

NameLeibniz International Proceedings in Informatics, LIPIcs
Volume356
ISSN (Print)1868-8969

Conference

Conference39th International Symposium on Distributed Computing, DISC 2025
Country/TerritoryGermany
CityBerlin
Period27/10/2531/10/25

Keywords

  • Anonymous graphs
  • Deterministic algorithm
  • Dynamic graphs
  • Exploration
  • Mobile agents

ASJC Scopus subject areas

  • Software

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