{"id":"https://openalex.org/W4292003039","doi":"https://doi.org/10.3217/jucs-003-11-1199","title":"Too Many Minor Order Obstructions (For Parameterized Lower Ideals)","display_name":"Too Many Minor Order Obstructions (For Parameterized Lower Ideals)","publication_year":2020,"publication_date":"2020-04-07","ids":{"openalex":"https://openalex.org/W4292003039","doi":"https://doi.org/10.3217/jucs-003-11-1199"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.51.6213","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.51.6213","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.iicm.edu/jucs_3_11/too_many_minor_order/paper.ps.gz","raw_type":"text"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.3217/jucs-003-11-1199","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083519582","display_name":"Michael J. Dinneen","orcid":"https://orcid.org/0000-0001-9977-525X"},"institutions":[{"id":"https://openalex.org/I154130895","display_name":"University of Auckland","ror":"https://ror.org/03b94tp07","country_code":"NZ","type":"education","lineage":["https://openalex.org/I154130895"]}],"countries":["NZ"],"is_corresponding":true,"raw_author_name":"Michael J. Dinneen","raw_affiliation_strings":["Department of Computer Science, University of Auckland, Auckland, New Zealand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Auckland, Auckland, New Zealand","institution_ids":["https://openalex.org/I154130895"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5083519582"],"corresponding_institution_ids":["https://openalex.org/I154130895"],"apc_list":null,"apc_paid":null,"fwci":0.2601,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.65267513,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.98089998960495,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.98089998960495,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9531000256538391,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/minor","display_name":"Minor (academic)","score":0.7528764605522156},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.6567610502243042},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5297592282295227},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4973898231983185},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.25949034094810486},{"id":"https://openalex.org/keywords/art","display_name":"Art","score":0.19593730568885803},{"id":"https://openalex.org/keywords/humanities","display_name":"Humanities","score":0.12553513050079346},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.09569850564002991}],"concepts":[{"id":"https://openalex.org/C2779760435","wikidata":"https://www.wikidata.org/wiki/Q5396169","display_name":"Minor (academic)","level":2,"score":0.7528764605522156},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.6567610502243042},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5297592282295227},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4973898231983185},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.25949034094810486},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.19593730568885803},{"id":"https://openalex.org/C15708023","wikidata":"https://www.wikidata.org/wiki/Q80083","display_name":"Humanities","level":1,"score":0.12553513050079346},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.09569850564002991},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.51.6213","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.51.6213","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.iicm.edu/jucs_3_11/too_many_minor_order/paper.ps.gz","raw_type":"text"},{"id":"doi:10.3217/jucs-003-11-1199","is_oa":true,"landing_page_url":"https://doi.org/10.3217/jucs-003-11-1199","pdf_url":null,"source":{"id":"https://openalex.org/S4306400660","display_name":"TUGraz OPEN Library (Graz University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4092182","host_organization_name":"Graz University of Technology","host_organization_lineage":["https://openalex.org/I4092182"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"DataPaper"}],"best_oa_location":{"id":"doi:10.3217/jucs-003-11-1199","is_oa":true,"landing_page_url":"https://doi.org/10.3217/jucs-003-11-1199","pdf_url":null,"source":{"id":"https://openalex.org/S4306400660","display_name":"TUGraz OPEN Library (Graz University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4092182","host_organization_name":"Graz University of Technology","host_organization_lineage":["https://openalex.org/I4092182"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"DataPaper"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2051058708","https://openalex.org/W154868527","https://openalex.org/W1494268238","https://openalex.org/W1516574938","https://openalex.org/W1983207144","https://openalex.org/W2490706771","https://openalex.org/W1976468483","https://openalex.org/W2480116122","https://openalex.org/W2563912921","https://openalex.org/W2407611282"],"abstract_inverted_index":{":":[0],"We":[1,59],"study":[2],"the":[3,7,29,36,40,49,61,73,76,109,126,139],"growth":[4,37,63],"rate":[5,38,64],"on":[6,19,39],"number":[8,41],"obstructions":[9,43,74],"(forbidden":[10],"minors)":[11],"for":[12,75,149],"families":[13,78,113],"of":[14,42,65,111,122,141,146],"graphs":[15,124,129],"that":[16,27],"are":[17],"based":[18],"parameterized":[20,66],"graph":[21,31,77,90,106,112,147,152],"problems.":[22],"Our":[23],"main":[24],"result":[25,137],"shows":[26],"if":[28],"defining":[30],"problem":[32],"is":[33],"NP-complete":[34],"then":[35],"must":[44,52],"be":[45],"super-polynomial":[46],"or":[47],"else":[48],"polynomial-time":[50],"hierarchy":[51,95],"collapse":[53],"to":[54],"\\\\Sigma":[55],"P":[56],"3":[57],".":[58,135],"illustrate":[60],"rapid":[62],"lower":[67],"ideals":[68],"by":[69,114,125],"computing":[70],"(and":[71],"counting)":[72],"with":[79],"independence":[80],"plus":[81],"size":[82],"at":[83],"most":[84],"k,":[85],"k":[86],"12.":[87],"Key":[88],"Words:":[89],"minors,":[91],"obstruction":[92,115,143],"sets,":[93,116],"polynomial":[94],"Category:":[96],"F.4,":[97],"F.m,":[98],"G.2":[99],"1":[100],"Introduction":[101],"Several":[102],"results":[103],"in":[104],"structural":[105],"theory":[107],"concern":[108],"characterization":[110,121],"such":[117],"as":[118],"Kuratowski's":[119,136],"famous":[120],"planar":[123],"two":[127],"forbidden":[128],"K":[130,133],"3;3":[131],"and":[132],"5":[134],"indicates":[138],"form":[140],"all":[142],"set":[144],"characterizations":[145],"families;":[148],"some":[150],"fixed":[151],"family,":[153],"denoted...":[154]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
