{"id":"https://openalex.org/W1505505591","doi":"https://doi.org/10.1007/3-540-58078-6_8","title":"Embedding 3-dimensional grids into optimal hypercubes","display_name":"Embedding 3-dimensional grids into optimal hypercubes","publication_year":1994,"publication_date":"1994-01-01","ids":{"openalex":"https://openalex.org/W1505505591","doi":"https://doi.org/10.1007/3-540-58078-6_8","mag":"1505505591"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-58078-6_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-58078-6_8","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/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":true,"raw_author_name":"Markus R\u00f6ttger","raw_affiliation_strings":["Department of Computer Science, University of Paderborn, D-33095, Paderborn, Germany","University of Paderborn >  >  >  >"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Paderborn, D-33095, Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]},{"raw_affiliation_string":"University of Paderborn >  >  >  >","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"middle","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":false,"raw_author_name":"Ulf -Peter Schroeder","raw_affiliation_strings":["Department of Computer Science, University of Paderborn, D-33095, Paderborn, Germany","University of Paderborn >  >  >  >"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Paderborn, D-33095, 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/A5110180815","display_name":"Walter Unger","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":"Walter Unger","raw_affiliation_strings":["Department of Computer Science, University of Paderborn, D-33095, Paderborn, Germany","University of Paderborn >  >  >  >"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Paderborn, D-33095, 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":3,"corresponding_author_ids":["https://openalex.org/A5088686198"],"corresponding_institution_ids":["https://openalex.org/I206945453"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.8571,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.81642778,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"81","last_page":"94"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9998999834060669,"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":0.9998999834060669,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T10715","display_name":"Distributed and Parallel Computing Systems","score":0.9976999759674072,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.9553457498550415},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7826452851295471},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.7422223091125488},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.7358333468437195},{"id":"https://openalex.org/keywords/dilation","display_name":"Dilation (metric space)","score":0.7241431474685669},{"id":"https://openalex.org/keywords/grid-network","display_name":"Grid network","score":0.5178399682044983},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.49511781334877014},{"id":"https://openalex.org/keywords/overhead","display_name":"Overhead (engineering)","score":0.4276077151298523},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3291884660720825},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1839929223060608},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.15403729677200317},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08601239323616028}],"concepts":[{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.9553457498550415},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7826452851295471},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.7422223091125488},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.7358333468437195},{"id":"https://openalex.org/C2780757906","wikidata":"https://www.wikidata.org/wiki/Q5276676","display_name":"Dilation (metric space)","level":2,"score":0.7241431474685669},{"id":"https://openalex.org/C24337046","wikidata":"https://www.wikidata.org/wiki/Q4394138","display_name":"Grid network","level":3,"score":0.5178399682044983},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.49511781334877014},{"id":"https://openalex.org/C2779960059","wikidata":"https://www.wikidata.org/wiki/Q7113681","display_name":"Overhead (engineering)","level":2,"score":0.4276077151298523},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3291884660720825},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1839929223060608},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15403729677200317},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08601239323616028},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/3-540-58078-6_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-58078-6_8","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.33.5811","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.33.5811","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://dept-info.labri.u-bordeaux.fr/~chauve/TDG/Papiers/RSU_Embed_3d_grids_TR94.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.51.5520","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.51.5520","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.uni-paderborn.de/doc/techreports/Informatik/tr-ri-94-149.ps.Z","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1487832189","https://openalex.org/W1545862959","https://openalex.org/W1990211699","https://openalex.org/W2015852161","https://openalex.org/W2053280233","https://openalex.org/W2083202979","https://openalex.org/W2097864833"],"related_works":["https://openalex.org/W195224515","https://openalex.org/W2007173733","https://openalex.org/W2495029940","https://openalex.org/W2401906798","https://openalex.org/W2392648935","https://openalex.org/W4322716869","https://openalex.org/W1487832189","https://openalex.org/W2087725382","https://openalex.org/W2151713270","https://openalex.org/W2012106299"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}