DC Field | Value | Language |
---|---|---|
dc.contributor.author | Ahn, HK | - |
dc.contributor.author | Brass, P | - |
dc.contributor.author | Na, HS | - |
dc.contributor.author | Shin, CS | - |
dc.date.accessioned | 2016-04-01T08:57:01Z | - |
dc.date.available | 2016-04-01T08:57:01Z | - |
dc.date.created | 2009-09-22 | - |
dc.date.issued | 2009-04 | - |
dc.identifier.issn | 0925-7721 | - |
dc.identifier.other | 2009-OAK-0000011564 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/29121 | - |
dc.description.abstract | In this paper, we study the classical one-dimensional range-searching problem, i.e., expressing any interval {i, .... j} subset of {1, ..., n} as a disjoint union of at most k intervals in a system of intervals, though with a different lens: we are interested in the minimum total length of the intervals in such a system (and not their number, as is the concern traditionally). We show that the minimum total length of a system of intervals in {1, ..., n} that allows to express any interval as a disjoint union of at most k intervals of the system is Theta(n(1+2/k)) for any fixed k. We also prove that the minimum number of intervals k = k(n, c), for which there exists a system of intervals of total length cn with that property, satisfies k(n, c) = Theta(n(1/c)) for any integer c >= 1. We also discuss the situation when k = Theta(log n). (c) 2008 Elsevier B.V. All rights reserved. | - |
dc.description.statementofresponsibility | X | - |
dc.language | English | - |
dc.publisher | ELSEVIER SCIENCE BV | - |
dc.relation.isPartOf | COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS | - |
dc.subject | Interval system | - |
dc.subject | Query | - |
dc.subject | Minimum total length | - |
dc.subject | LOWER BOUNDS | - |
dc.title | On the minimum total length of interval systems expressing all intervals, and range-restricted queries | - |
dc.type | Article | - |
dc.contributor.college | 컴퓨터공학과 | - |
dc.identifier.doi | 10.1016/j.comgeo.2008.03.004 | - |
dc.author.google | Ahn, HK | - |
dc.author.google | Brass, P | - |
dc.author.google | Na, HS | - |
dc.author.google | Shin, CS | - |
dc.relation.volume | 42 | - |
dc.relation.issue | 3 | - |
dc.relation.startpage | 207 | - |
dc.relation.lastpage | 213 | - |
dc.contributor.id | 10152366 | - |
dc.relation.journal | COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS | - |
dc.relation.index | SCI급, SCOPUS 등재논문 | - |
dc.relation.sci | SCIE | - |
dc.collections.name | Journal Papers | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, v.42, no.3, pp.207 - 213 | - |
dc.identifier.wosid | 000262214900003 | - |
dc.date.tcdate | 2018-03-23 | - |
dc.citation.endPage | 213 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 207 | - |
dc.citation.title | COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS | - |
dc.citation.volume | 42 | - |
dc.contributor.affiliatedAuthor | Ahn, HK | - |
dc.identifier.scopusid | 2-s2.0-56349111040 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.type.docType | Article | - |
dc.subject.keywordAuthor | Interval system | - |
dc.subject.keywordAuthor | Query | - |
dc.subject.keywordAuthor | Minimum total length | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
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