TY - GEN

T1 - Consecutive interval query and dynamic programming on intervals

AU - Aggarwal, Alok

AU - Tokuyama, Takeshi

PY - 1993

Y1 - 1993

N2 - Given a set of n points on a line and a set of m weighted intervals defined on these points, we consider a particular dynamic programming problem on these intervals. If the weights are all nonnegative or all nonpositive, we solve this dynamic programming problem efficiently by using matrix searching in Monge arrays, together with a new query data structure which we call the consecutive interval query structure. We invoke our algorithm to obtain fast algorithms for the sequential partition of a graph and for the partial clique covering of an interval graph.

AB - Given a set of n points on a line and a set of m weighted intervals defined on these points, we consider a particular dynamic programming problem on these intervals. If the weights are all nonnegative or all nonpositive, we solve this dynamic programming problem efficiently by using matrix searching in Monge arrays, together with a new query data structure which we call the consecutive interval query structure. We invoke our algorithm to obtain fast algorithms for the sequential partition of a graph and for the partial clique covering of an interval graph.

UR - http://www.scopus.com/inward/record.url?scp=84936674337&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84936674337&partnerID=8YFLogxK

U2 - 10.1007/3-540-57568-5_278

DO - 10.1007/3-540-57568-5_278

M3 - Conference contribution

AN - SCOPUS:84936674337

SN - 9783540575689

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

SP - 466

EP - 475

BT - Algorithms and Computation - 4th International Symposium, ISAAC 1993, Proceedings

A2 - Ng, Kam Wing

A2 - Raghavan, Prabhakar

A2 - Balasubramanian, N.V.

A2 - Chin, Francis Y.L.

PB - Springer Verlag

T2 - 4th International Symposium on Algorithms and Computation, ISAAC 1993

Y2 - 15 December 1993 through 17 December 1993

ER -