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An Improved Approximation Algorithm for the s-t Path Movement Problem


Paper Type 
Contributed Paper
Title 
An Improved Approximation Algorithm for the s-t Path Movement Problem
Author 
Wattana Jindaluang [a], Jakarin Chawachat [b], Varin Chouvatut [b], Jittat Fakcharoenphol*[a] and Sanpawat Kantabutra [c]
Email 
jittat@gmail.com
Abstract:
This paper considers a movement problem that minimizes the maximum movement of pebbles on a graph to form a path from source vertex  to destination vertex .  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 -approximation algorithm for any constant 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 .

Start & End Page 
279 - 286
Received Date 
2015-03-20
Revised Date 
Accepted Date 
2015-07-03
Full Text 
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Keyword 
movement problems, approximation algorithm, graph algorithm
Volume 
Vol.44 No.1 (JANUARY 2017)
DOI 
Citation 
Jindaluang W., Chawachat J., Chouvatut V., Fakcharoenphol J. and Kantabutra S., An Improved Approximation Algorithm for the s-t Path Movement Problem, Chiang Mai J. Sci., 2017; 44(1): 279-286.
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Chiang Mai Journal of Science

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