Complexity and Approximability of Hyperplane Covering Problems

Michael Khachay

2013

Abstract

The well known N.Megiddo complexity result for Point Cover Problem on the plane is extended onto $d$-dimensional space (for any fixed $d$). It is proved that Min-$d$PC problem is $L$-reducible to Min-$(d+1)$PC problem, therefore for any fixed $d>1$ there is no PTAS for Min-$d$PC problem, unless $P=NP.$

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Paper Citation


in Harvard Style

Khachay M. (2013). Complexity and Approximability of Hyperplane Covering Problems . In Proceedings of the 4th International Workshop on Image Mining. Theory and Applications - Volume 1: IMTA-4, (VISIGRAPP 2013) ISBN 978-989-8565-50-1, pages 109-113. DOI: 10.5220/0004394601090113


in Bibtex Style

@conference{imta-413,
author={Michael Khachay},
title={Complexity and Approximability of Hyperplane Covering Problems},
booktitle={Proceedings of the 4th International Workshop on Image Mining. Theory and Applications - Volume 1: IMTA-4, (VISIGRAPP 2013)},
year={2013},
pages={109-113},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004394601090113},
isbn={978-989-8565-50-1},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 4th International Workshop on Image Mining. Theory and Applications - Volume 1: IMTA-4, (VISIGRAPP 2013)
TI - Complexity and Approximability of Hyperplane Covering Problems
SN - 978-989-8565-50-1
AU - Khachay M.
PY - 2013
SP - 109
EP - 113
DO - 10.5220/0004394601090113