An improved approximation algorithm for the s-t path movement problem

© 2017, Chiang Mai University. All rights reserved. This paper considers a movement problem that minimizes the maximum movement of pebbles on a graph to form a path from source vertex s to destination vertex t. The best known algorithm for this problem is a 7-approximation algorithm developed by Ber...

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Bibliographic Details
Main Authors: Wattana Jindaluang, Jakarin Chawachat, Varin Chouvatut, Jittat Fakcharoenphol, Sanpawat Kantabutra
Format: Journal
Published: 2018
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Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85010824713&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/46463
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Institution: Chiang Mai University
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Summary:© 2017, Chiang Mai University. All rights reserved. This paper considers a movement problem that minimizes the maximum movement of pebbles on a graph to form a path from source vertex s to destination vertex t. The best known algorithm for this problem is a 7-approximation algorithm developed by Berman, Demaine, and Zadimoghaddam in 2011. We refine the analysis of Berman et. al. to obtain an (3 + ϵ)-approximation algorithm for any constant ϵ > 0. This problem is a subroutine used by Berman et. al. for finding a solution to the connectivity movement problem. Using our improved algorithm as a subroutine, the approximation ratio for the connectivity movement problem improves from 136 to 104 + ϵ.