Optimal Unlabeled Pebble Motion on Trees

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Abstract

Given a tree, a set of pebbles initially stationed at some nodes of the tree and a set of target nodes, the Unlabeled Pebble Motion on Trees problem (UPMT) asks to find a plan to move the pebbles one-at-a-time from the starting nodes to the target nodes along the edges of the tree while minimizing the number of moves. This paper proposes the first optimal algorithm for UPMT that is asymptotically as fast as possible, as it runs in a time linear in the size of the input (the tree) and the size of the output (the optimal plan).

Original languageEnglish
Title of host publicationProceedings of the 17th International Symposium on Combinatorial Search
EditorsAriel Felner, Jiaoyang Li
Place of PublicationWashington DC USA
PublisherAssociation for the Advancement of Artificial Intelligence (AAAI)
Pages218-222
Number of pages5
ISBN (Electronic)139781577358916, 101577358910
DOIs
Publication statusPublished - 2024
EventInternational Symposium on Combinatorial Search 2024 - Pomeroy Kananaskis Mountain Lodge, Kananaskis, Canada
Duration: 6 Jun 20248 Jun 2024
Conference number: 17th
https://ojs.aaai.org/index.php/SOCS/issue/view/607 (Proceedings)
https://socs24.search-conference.org/ (Conference website)

Publication series

NameProceedings of the International Symposium on Combinatorial Search
PublisherAssociation for the Advancement of Artificial Intelligence (AAAI)
Number1
Volume17
ISSN (Print)2832-9171
ISSN (Electronic)2832-9163

Conference

ConferenceInternational Symposium on Combinatorial Search 2024
Abbreviated titleSoCS 2024
Country/TerritoryCanada
CityKananaskis
Period6/06/248/06/24
Internet address

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