2026-09-19T04:09:48.264329800Zhttps://opus.uleth.ca/server/oai/requestoai:opus.uleth.ca:10133/44142016-12-09T22:46:03Zcom_10133_3346com_10133_1com_10133_296col_10133_3347col_10133_298
ULethbridge OPUS Repository
supervisor
Gaur, Daya
supervisor
Benkoczi, Robert
author
Jahan, Kawsar
author
University of Lethbridge. Faculty of Arts and Science
2016-02-12T23:11:43Z
2016-02-12T23:11:43Z
2015
https://hdl.handle.net/10133/4414
In this thesis, we study the problem of covering points with axis parallel lines. We named
it as the point cover problem. Given a set of the n points in d dimensional space, the goal
is to cover the points with minimum number of axis parallel lines. We use the iterative
rounding approach which gives an integral solution to the problem. We also propose a
combinatorial algorithm by using the branch and bound technique which gives an optimal
integral solution to the point cover problem. Later we implemented another approximation
algorithm based on primal-dual and iterative rounding approaches. Finally we show the
comparative analysis between the two iterative rounding algorithms.
en_CA
3 dimensional space
axis parallel lines
branch and bound
covering points
Covering points with axis parallel lines
Thesis
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URL
http://localhost:4000/bitstreams/2cfdf8cf-0b64-4ea0-b9d1-fde1472825c2/download
File
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application/pdf
JAHAN_KAWSAR_MSC_2015.pdf
URL
http://localhost:4000/bitstreams/c2c4d457-02b7-4eda-800a-c4f32fc096a5/download
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text/plain
JAHAN_KAWSAR_MSC_2015.pdf.txt