Please use this identifier to cite or link to this item:
|Title:||An improved approximation algorithm for the s-t path movement problem|
|Keywords:||Biochemistry, Genetics and Molecular Biology;Chemistry;Materials Science;Mathematics;Physics and Astronomy|
|Abstract:||© 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.|
|Appears in Collections:||CMUL: Journal Articles|
Files in This Item:
There are no files associated with this item.
Items in CMUIR are protected by copyright, with all rights reserved, unless otherwise indicated.