{"id":"https://openalex.org/W2049129900","doi":"https://doi.org/10.1016/s0166-218x(00)00224-9","title":"Efficient embeddings of grids into grids","display_name":"Efficient embeddings of grids into grids","publication_year":2001,"publication_date":"2001-02-01","ids":{"openalex":"https://openalex.org/W2049129900","doi":"https://doi.org/10.1016/s0166-218x(00)00224-9","mag":"2049129900"},"language":"en","primary_location":{"id":"doi:10.1016/s0166-218x(00)00224-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0166-218x(00)00224-9","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","raw_type":"journal-article"},"type":"article","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/A5088686198","display_name":"Markus R\u00f6ttger","orcid":null},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"M. R\u00f6ttger","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Paderborn, D-33102 Paderborn, Germany","University of Paderborn >  >  >  >"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Paderborn, D-33102 Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]},{"raw_affiliation_string":"University of Paderborn >  >  >  >","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109875837","display_name":"U.-P. Schroeder","orcid":null},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"U.-P. Schroeder","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Paderborn, D-33102 Paderborn, Germany","University of Paderborn >  >  >  >"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Paderborn, D-33102 Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]},{"raw_affiliation_string":"University of Paderborn >  >  >  >","institution_ids":["https://openalex.org/I206945453"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109875837"],"corresponding_institution_ids":["https://openalex.org/I206945453"],"apc_list":{"value":2750,"currency":"USD","value_usd":2750},"apc_paid":null,"fwci":0.6694,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.80181007,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"108","issue":"1-2","first_page":"143","last_page":"173"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.8385611772537231},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.805807888507843},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7279924154281616},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.7173550128936768},{"id":"https://openalex.org/keywords/dilation","display_name":"Dilation (metric space)","score":0.647570788860321},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.47612863779067993},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4708996117115021},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.468971848487854},{"id":"https://openalex.org/keywords/aspect-ratio","display_name":"Aspect ratio (aeronautics)","score":0.46627193689346313},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.4290352463722229},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3350751996040344},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.26991403102874756},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1659296751022339},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12726697325706482}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.8385611772537231},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.805807888507843},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7279924154281616},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.7173550128936768},{"id":"https://openalex.org/C2780757906","wikidata":"https://www.wikidata.org/wiki/Q5276676","display_name":"Dilation (metric space)","level":2,"score":0.647570788860321},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.47612863779067993},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4708996117115021},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.468971848487854},{"id":"https://openalex.org/C82558694","wikidata":"https://www.wikidata.org/wiki/Q1545619","display_name":"Aspect ratio (aeronautics)","level":2,"score":0.46627193689346313},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.4290352463722229},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3350751996040344},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.26991403102874756},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1659296751022339},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12726697325706482},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0166-218x(00)00224-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0166-218x(00)00224-9","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7799999713897705,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W158147775","https://openalex.org/W1545862959","https://openalex.org/W1704494288","https://openalex.org/W1973876883","https://openalex.org/W1983901430","https://openalex.org/W2005872353","https://openalex.org/W2007280161","https://openalex.org/W2008187657","https://openalex.org/W2010025177","https://openalex.org/W2011891090","https://openalex.org/W2048465234","https://openalex.org/W2058877225","https://openalex.org/W2059619955","https://openalex.org/W2074149784","https://openalex.org/W2081052144","https://openalex.org/W2083202979","https://openalex.org/W2084998786","https://openalex.org/W2095732633","https://openalex.org/W2109184897","https://openalex.org/W2149977307","https://openalex.org/W2154869016","https://openalex.org/W3200712530","https://openalex.org/W4213247790","https://openalex.org/W4285719527","https://openalex.org/W6631234828"],"related_works":["https://openalex.org/W2560063780","https://openalex.org/W2081900870","https://openalex.org/W2113765940","https://openalex.org/W3132983279","https://openalex.org/W2495029940","https://openalex.org/W2137008381","https://openalex.org/W2087725382","https://openalex.org/W2166689363","https://openalex.org/W2109184897","https://openalex.org/W2403032847"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}