{"id":"https://openalex.org/W1984477615","doi":"https://doi.org/10.1007/s11083-011-9228-y","title":"On-line Chain Partitions of Up-growing Semi-orders","display_name":"On-line Chain Partitions of Up-growing Semi-orders","publication_year":2011,"publication_date":"2011-08-23","ids":{"openalex":"https://openalex.org/W1984477615","doi":"https://doi.org/10.1007/s11083-011-9228-y","mag":"1984477615"},"language":"en","primary_location":{"id":"doi:10.1007/s11083-011-9228-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11083-011-9228-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11083-011-9228-y.pdf","source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Order","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11083-011-9228-y.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005468020","display_name":"Stefan Felsner","orcid":"https://orcid.org/0000-0002-6150-1998"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Stefan Felsner","raw_affiliation_strings":["AG Diskrete Mathematik Institut f\u00fcr Mathematik, Technische Universit\u00e4t Berlin, Strasse des 17. Juni 136, 10623, Berlin, Germany","AG Diskrete Mathematik Institut f\u00fcr Mathematik, Technische Universit\u00e4t Berlin, Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"AG Diskrete Mathematik Institut f\u00fcr Mathematik, Technische Universit\u00e4t Berlin, Strasse des 17. Juni 136, 10623, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]},{"raw_affiliation_string":"AG Diskrete Mathematik Institut f\u00fcr Mathematik, Technische Universit\u00e4t Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004673481","display_name":"Kamil Kloch","orcid":null},"institutions":[{"id":"https://openalex.org/I186354981","display_name":"University of Passau","ror":"https://ror.org/05ydjnb78","country_code":"DE","type":"education","lineage":["https://openalex.org/I186354981"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Kamil Kloch","raw_affiliation_strings":["Embedded Systems Lab, University of Passau, Innstrasse 43, 94032, Passau, Germany","Embedded Systems Lab, University of Passau, Passau, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Embedded Systems Lab, University of Passau, Innstrasse 43, 94032, Passau, Germany","institution_ids":["https://openalex.org/I186354981"]},{"raw_affiliation_string":"Embedded Systems Lab, University of Passau, Passau, Germany","institution_ids":["https://openalex.org/I186354981"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061613133","display_name":"Grzegorz Matecki","orcid":null},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Grzegorz Matecki","raw_affiliation_strings":["Theoretical Computer Science Department, Jagiellonian University, Lojasiewicza 6, 30-348, Krak\u00f3w, Poland","Theoretical Computer Science Department, Jagiellonian University, Krak\u00f3w, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Theoretical Computer Science Department, Jagiellonian University, Lojasiewicza 6, 30-348, Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I126596746"]},{"raw_affiliation_string":"Theoretical Computer Science Department, Jagiellonian University, Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I126596746"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5107964690","display_name":"Piotr Micek","orcid":"https://orcid.org/0000-0001-9796-5375"},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Piotr Micek","raw_affiliation_strings":["Theoretical Computer Science Department, Jagiellonian University, Lojasiewicza 6, 30-348, Krak\u00f3w, Poland","Theoretical Computer Science Department, Jagiellonian University, Krak\u00f3w, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Theoretical Computer Science Department, Jagiellonian University, Lojasiewicza 6, 30-348, Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I126596746"]},{"raw_affiliation_string":"Theoretical Computer Science Department, Jagiellonian University, Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I126596746"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5107964690"],"corresponding_institution_ids":["https://openalex.org/I126596746"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.9788,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.74695267,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"30","issue":"1","first_page":"85","last_page":"101"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9980999827384949,"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":0.9980999827384949,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9858999848365784,"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/T11574","display_name":"Artificial Intelligence in Games","score":0.9846000075340271,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/partition","display_name":"Partition (number theory)","score":0.8122791051864624},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7697713971138},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7477713823318481},{"id":"https://openalex.org/keywords/order-type","display_name":"Order type","score":0.6413054466247559},{"id":"https://openalex.org/keywords/chain","display_name":"Chain (unit)","score":0.5403814911842346},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5055675506591797},{"id":"https://openalex.org/keywords/partition-problem","display_name":"Partition problem","score":0.44633185863494873},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.4142778515815735},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41087400913238525},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07722136378288269},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05935466289520264}],"concepts":[{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.8122791051864624},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7697713971138},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7477713823318481},{"id":"https://openalex.org/C138890893","wikidata":"https://www.wikidata.org/wiki/Q620006","display_name":"Order type","level":2,"score":0.6413054466247559},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.5403814911842346},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5055675506591797},{"id":"https://openalex.org/C35995877","wikidata":"https://www.wikidata.org/wiki/Q1065968","display_name":"Partition problem","level":3,"score":0.44633185863494873},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.4142778515815735},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41087400913238525},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07722136378288269},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05935466289520264},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11083-011-9228-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11083-011-9228-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11083-011-9228-y.pdf","source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Order","raw_type":"journal-article"},{"id":"pmh:oai:ruj.uj.edu.pl:item/156","is_oa":true,"landing_page_url":"http://ruj.uj.edu.pl/xmlui/handle/item/156","pdf_url":"http://ruj.uj.edu.pl/bitstreams/4e8d1768-54c4-47b0-90c6-d883fb56fb22/download","source":{"id":"https://openalex.org/S4306400316","display_name":"Homo Politicus (Academy of Humanities and Economics in Lodz)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"artyku\u0142 w czasopi\u015bmie"}],"best_oa_location":{"id":"doi:10.1007/s11083-011-9228-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11083-011-9228-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11083-011-9228-y.pdf","source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Order","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1984477615.pdf","grobid_xml":"https://content.openalex.org/works/W1984477615.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1585310225","https://openalex.org/W1996768648","https://openalex.org/W1998185290","https://openalex.org/W2029134832","https://openalex.org/W2071546053","https://openalex.org/W2151140709","https://openalex.org/W4213282325"],"related_works":["https://openalex.org/W1549987457","https://openalex.org/W2025912669","https://openalex.org/W2014615094","https://openalex.org/W1977789739","https://openalex.org/W4255922664","https://openalex.org/W2351778335","https://openalex.org/W4240458717","https://openalex.org/W2497180562","https://openalex.org/W2949853155","https://openalex.org/W4298081172"],"abstract_inverted_index":{"On-line":[0],"chain":[1,33,74],"partition":[2,34,75],"is":[3,48,93],"a":[4,13,32,49,57],"two-player":[5],"game":[6,42,76,92],"between":[7],"Spoiler":[8,11],"and":[9,25,87],"Algorithm.":[10],"presents":[12],"partially":[14],"ordered":[15],"set,":[16],"point":[17],"by":[18],"point.":[19],"Algorithm":[20,55],"assigns":[21],"incoming":[22],"points":[23],"(immediately":[24],"irrevocably)":[26],"to":[27],"the":[28,36,41,73,81,88,91],"chains":[29,63],"which":[30],"constitute":[31],"of":[35,40,45,66,90],"order.":[37],"The":[38],"value":[39,89],"for":[43,77],"orders":[44,65],"width":[46,67],"w":[47,95],"minimum":[50],"number":[51],"val(w)":[52,62],"such":[53],"that":[54],"has":[56],"strategy":[58],"using":[59],"at":[60,68],"most":[61,69],"on":[64],"w.":[70],"We":[71],"analyze":[72],"up-growing":[78],"semi-orders.":[79],"Surprisingly,":[80],"golden":[82],"ratio":[83],"comes":[84],"into":[85],"play":[86],"$\\big\\lfloor\\frac{1+\\sqrt{5}}{2}\\;":[94],"\\big\\rfloor$":[96],".":[97]},"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-23T13:55:30.953635","created_date":"2025-10-10T00:00:00"}
