{"id":"https://openalex.org/W2085682927","doi":"https://doi.org/10.1007/s00236-005-0001-9","title":"Embedding linear orders in grids","display_name":"Embedding linear orders in grids","publication_year":2006,"publication_date":"2006-01-12","ids":{"openalex":"https://openalex.org/W2085682927","doi":"https://doi.org/10.1007/s00236-005-0001-9","mag":"2085682927"},"language":"en","primary_location":{"id":"doi:10.1007/s00236-005-0001-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00236-005-0001-9","pdf_url":null,"source":{"id":"https://openalex.org/S84409463","display_name":"Acta Informatica","issn_l":"0001-5903","issn":["0001-5903","1432-0525"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Acta Informatica","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/A5045244980","display_name":"Andrzej Ehrenfeucht","orcid":null},"institutions":[{"id":"https://openalex.org/I188538660","display_name":"University of Colorado Boulder","ror":"https://ror.org/02ttsq026","country_code":"US","type":"education","lineage":["https://openalex.org/I188538660"]},{"id":"https://openalex.org/I2802236040","display_name":"University of Colorado System","ror":"https://ror.org/00jc20583","country_code":"US","type":"education","lineage":["https://openalex.org/I2802236040"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andrzej Ehrenfeucht","raw_affiliation_strings":["Department of Computer Science, University of Colorado at Boulder, Boulder, CO, 80309-0347, USA","University of Colorado at Boulder"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Colorado at Boulder, Boulder, CO, 80309-0347, USA","institution_ids":["https://openalex.org/I188538660"]},{"raw_affiliation_string":"University of Colorado at Boulder","institution_ids":["https://openalex.org/I2802236040"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054372678","display_name":"Tero Harju","orcid":"https://orcid.org/0000-0002-9640-6309"},"institutions":[{"id":"https://openalex.org/I155660961","display_name":"University of Turku","ror":"https://ror.org/05vghhr25","country_code":"FI","type":"education","lineage":["https://openalex.org/I155660961"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Tero Harju","raw_affiliation_strings":["Department of Mathematics, University of Turku, 20014, Turku, Finland","University of turku;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Turku, 20014, Turku, Finland","institution_ids":["https://openalex.org/I155660961"]},{"raw_affiliation_string":"University of turku;","institution_ids":["https://openalex.org/I155660961"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110486000","display_name":"Grzegorz Rozenberg","orcid":null},"institutions":[{"id":"https://openalex.org/I121797337","display_name":"Leiden University","ror":"https://ror.org/027bh9e22","country_code":"NL","type":"education","lineage":["https://openalex.org/I121797337"]},{"id":"https://openalex.org/I188538660","display_name":"University of Colorado Boulder","ror":"https://ror.org/02ttsq026","country_code":"US","type":"education","lineage":["https://openalex.org/I188538660"]},{"id":"https://openalex.org/I210716285","display_name":"University of Applied Sciences Leiden","ror":"https://ror.org/0093src13","country_code":"NL","type":"education","lineage":["https://openalex.org/I210716285"]},{"id":"https://openalex.org/I2802236040","display_name":"University of Colorado System","ror":"https://ror.org/00jc20583","country_code":"US","type":"education","lineage":["https://openalex.org/I2802236040"]}],"countries":["NL","US"],"is_corresponding":false,"raw_author_name":"Grzegorz Rozenberg","raw_affiliation_strings":["Department of Computer Science, University of Colorado at Boulder, Boulder, CO, 80309-0347, USA","Leiden Institute for Advanced Computer Science, Leiden University, 2333, Leiden, CA, The Netherlands","Leiden University","University of Colorado at Boulder"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Colorado at Boulder, Boulder, CO, 80309-0347, USA","institution_ids":["https://openalex.org/I188538660"]},{"raw_affiliation_string":"Leiden Institute for Advanced Computer Science, Leiden University, 2333, Leiden, CA, The Netherlands","institution_ids":["https://openalex.org/I121797337","https://openalex.org/I210716285"]},{"raw_affiliation_string":"Leiden University","institution_ids":["https://openalex.org/I121797337"]},{"raw_affiliation_string":"University of Colorado at Boulder","institution_ids":["https://openalex.org/I2802236040"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5054372678"],"corresponding_institution_ids":["https://openalex.org/I155660961"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14944722,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"42","issue":"6-7","first_page":"419","last_page":"428"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.9988999962806702,"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/T11476","display_name":"Graph theory and applications","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.7528553009033203},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6794979572296143},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.6702837944030762},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.6323264837265015},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5296370983123779},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4789988696575165},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4576709270477295},{"id":"https://openalex.org/keywords/permutation-matrix","display_name":"Permutation matrix","score":0.442534863948822},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43378937244415283},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41024118661880493},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30920928716659546},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13843867182731628},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10990074276924133}],"concepts":[{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.7528553009033203},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6794979572296143},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.6702837944030762},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.6323264837265015},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5296370983123779},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4789988696575165},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4576709270477295},{"id":"https://openalex.org/C84140500","wikidata":"https://www.wikidata.org/wiki/Q851512","display_name":"Permutation matrix","level":3,"score":0.442534863948822},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43378937244415283},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41024118661880493},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30920928716659546},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13843867182731628},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10990074276924133},{"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/C115973184","wikidata":"https://www.wikidata.org/wiki/Q245457","display_name":"Circulant matrix","level":2,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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":2,"locations":[{"id":"doi:10.1007/s00236-005-0001-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00236-005-0001-9","pdf_url":null,"source":{"id":"https://openalex.org/S84409463","display_name":"Acta Informatica","issn_l":"0001-5903","issn":["0001-5903","1432-0525"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Acta Informatica","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.154.8893","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.154.8893","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.tucs.fi/publications/attachment.php?fname=TR636.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321108","display_name":"Academy of Finland","ror":"https://ror.org/05k73zm37"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W3744687","https://openalex.org/W124739935","https://openalex.org/W1603384057","https://openalex.org/W1607807395","https://openalex.org/W2004765838","https://openalex.org/W2010830659","https://openalex.org/W2033520777","https://openalex.org/W2097452893","https://openalex.org/W2154635726","https://openalex.org/W2325654786","https://openalex.org/W4319782100"],"related_works":["https://openalex.org/W4285790638","https://openalex.org/W2967856490","https://openalex.org/W3013139561","https://openalex.org/W2949607517","https://openalex.org/W4308670488","https://openalex.org/W2917004075","https://openalex.org/W2140809923","https://openalex.org/W1571172411","https://openalex.org/W2391050754","https://openalex.org/W2349665798"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}