TY - GEN

T1 - On explaining integer vectors by few homogenous segments

AU - Bredereck, Robert

AU - Chen, Jiehua

AU - Hartung, Sepp

AU - Komusiewicz, Christian

AU - Niedermeier, Rolf

AU - Suchý, Ondřej

PY - 2013/8/12

Y1 - 2013/8/12

N2 - We extend previous studies on NP-hard problems dealing with the decomposition of nonnegative integer vectors into sums of few homogeneous segments. These problems are motivated by radiation therapy and database applications. If the segments may have only positive integer entries, then the problem is called Vector Explanation+. If arbitrary integer entries are allowed in the decomposition, then the problem is called Vector Explanation. Considering several natural parameterizations (including maximum vector entry, maximum difference between consecutive vector entries, maximum segment length), we obtain a refined picture of the computational (in-)tractability of these problems. In particular, we show that in relevant cases Vector Explanation + is algorithmically harder than Vector Explanation .

AB - We extend previous studies on NP-hard problems dealing with the decomposition of nonnegative integer vectors into sums of few homogeneous segments. These problems are motivated by radiation therapy and database applications. If the segments may have only positive integer entries, then the problem is called Vector Explanation+. If arbitrary integer entries are allowed in the decomposition, then the problem is called Vector Explanation. Considering several natural parameterizations (including maximum vector entry, maximum difference between consecutive vector entries, maximum segment length), we obtain a refined picture of the computational (in-)tractability of these problems. In particular, we show that in relevant cases Vector Explanation + is algorithmically harder than Vector Explanation .

UR - http://www.scopus.com/inward/record.url?scp=84881158046&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-40104-6_18

DO - 10.1007/978-3-642-40104-6_18

M3 - Conference contribution

AN - SCOPUS:84881158046

SN - 9783642401039

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 207

EP - 218

BT - Algorithms and Data Structures - 13th International Symposium, WADS 2013, Proceedings

T2 - 13th International Symposium on Algorithms and Data Structures, WADS 2013

Y2 - 12 August 2013 through 14 August 2013

ER -