{"id":"https://openalex.org/W1544463887","doi":"https://doi.org/10.1007/978-3-540-24767-8_15","title":"On the Time Complexity of Rectangular Covering Problems in the Discrete Plane","display_name":"On the Time Complexity of Rectangular Covering Problems in the Discrete Plane","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W1544463887","doi":"https://doi.org/10.1007/978-3-540-24767-8_15","mag":"1544463887"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-24767-8_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-24767-8_15","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051676325","display_name":"Stefan Porschen","orcid":null},"institutions":[{"id":"https://openalex.org/I180923762","display_name":"University of Cologne","ror":"https://ror.org/00rcxh774","country_code":"DE","type":"education","lineage":["https://openalex.org/I180923762"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Stefan Porschen","raw_affiliation_strings":["Institut f\u00fcr Informatik, Universit\u00e4t zu K\u00f6ln, D-50969, K\u00f6ln, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik, Universit\u00e4t zu K\u00f6ln, D-50969, K\u00f6ln, Germany","institution_ids":["https://openalex.org/I180923762"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5051676325"],"corresponding_institution_ids":["https://openalex.org/I180923762"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.8346,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.69315673,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"137","last_page":"146"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/rectangle","display_name":"Rectangle","score":0.8381023406982422},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.5428770184516907},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5244931578636169},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5159112215042114},{"id":"https://openalex.org/keywords/multigrid-method","display_name":"Multigrid method","score":0.4756167531013489},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.45601513981819153},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4536419212818146},{"id":"https://openalex.org/keywords/computational-geometry","display_name":"Computational geometry","score":0.42809540033340454},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.4149155020713806},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4080226719379425},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38995301723480225},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32457274198532104},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.30656495690345764},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2627679705619812},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.24456223845481873},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10328704118728638}],"concepts":[{"id":"https://openalex.org/C2781302577","wikidata":"https://www.wikidata.org/wiki/Q209","display_name":"Rectangle","level":2,"score":0.8381023406982422},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.5428770184516907},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5244931578636169},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5159112215042114},{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.4756167531013489},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.45601513981819153},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4536419212818146},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.42809540033340454},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4149155020713806},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4080226719379425},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38995301723480225},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32457274198532104},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.30656495690345764},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2627679705619812},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24456223845481873},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10328704118728638}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-24767-8_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-24767-8_15","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1964614160","https://openalex.org/W1969105125","https://openalex.org/W1988874074","https://openalex.org/W1990313671","https://openalex.org/W1996915590","https://openalex.org/W2044157824","https://openalex.org/W2062810230","https://openalex.org/W2075898629","https://openalex.org/W2083352458","https://openalex.org/W2089712558","https://openalex.org/W2106995649","https://openalex.org/W2591721100","https://openalex.org/W4285719527","https://openalex.org/W4298383807","https://openalex.org/W7026635939"],"related_works":["https://openalex.org/W2077078424","https://openalex.org/W2182328658","https://openalex.org/W1519938374","https://openalex.org/W84272617","https://openalex.org/W2242098268","https://openalex.org/W2063135098","https://openalex.org/W1991058914","https://openalex.org/W1982636475","https://openalex.org/W1589381382","https://openalex.org/W961142965"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}