{"id":"https://openalex.org/W2951948937","doi":"https://doi.org/10.1002/malq.201500006","title":"Random \u2113\u2010colourable structures with a pregeometry","display_name":"Random \u2113\u2010colourable structures with a pregeometry","publication_year":2017,"publication_date":"2017-03-31","ids":{"openalex":"https://openalex.org/W2951948937","doi":"https://doi.org/10.1002/malq.201500006","mag":"2951948937"},"language":"en","primary_location":{"id":"doi:10.1002/malq.201500006","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.201500006","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1207.4936","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076397632","display_name":"Ove Ahlman","orcid":"https://orcid.org/0000-0002-4477-4476"},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Ove Ahlman","raw_affiliation_strings":["Department of Mathematics Uppsala University Postal Box 480 Uppsala 75106 Sweden","Department of Mathematics, Uppsala University, Postal Box 480, Uppsala, 75106 Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Uppsala University Postal Box 480 Uppsala 75106 Sweden","institution_ids":["https://openalex.org/I123387679"]},{"raw_affiliation_string":"Department of Mathematics, Uppsala University, Postal Box 480, Uppsala, 75106 Sweden","institution_ids":["https://openalex.org/I123387679"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029621829","display_name":"Vera Koponen","orcid":null},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Vera Koponen","raw_affiliation_strings":["Department of Mathematics Uppsala University Postal Box 480 Uppsala 75106 Sweden","Department of Mathematics, Uppsala University, Postal Box 480, Uppsala, 75106 Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Uppsala University Postal Box 480 Uppsala 75106 Sweden","institution_ids":["https://openalex.org/I123387679"]},{"raw_affiliation_string":"Department of Mathematics, Uppsala University, Postal Box 480, Uppsala, 75106 Sweden","institution_ids":["https://openalex.org/I123387679"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5029621829"],"corresponding_institution_ids":["https://openalex.org/I123387679"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":0.4086,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.63027925,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"63","issue":"1-2","first_page":"32","last_page":"58"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9154000282287598,"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"}},"topics":[{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9154000282287598,"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/mathematics","display_name":"Mathematics","score":0.8728805780410767},{"id":"https://openalex.org/keywords/probability-measure","display_name":"Probability measure","score":0.6601254940032959},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.6224350929260254},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5869652032852173},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5331021547317505},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5069268345832825},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4798514246940613},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07433784008026123},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.058998435735702515}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8728805780410767},{"id":"https://openalex.org/C21031990","wikidata":"https://www.wikidata.org/wiki/Q355020","display_name":"Probability measure","level":2,"score":0.6601254940032959},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.6224350929260254},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5869652032852173},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5331021547317505},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5069268345832825},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4798514246940613},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07433784008026123},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.058998435735702515},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1002/malq.201500006","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.201500006","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1207.4936","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1207.4936","pdf_url":"https://arxiv.org/pdf/1207.4936","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.746.8000","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.746.8000","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1207.4936.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.1207.4936","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1207.4936","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1207.4936","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1207.4936","pdf_url":"https://arxiv.org/pdf/1207.4936","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"score":0.5799999833106995,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1482193060","https://openalex.org/W1499179478","https://openalex.org/W1532176944","https://openalex.org/W2008226238","https://openalex.org/W2023561941","https://openalex.org/W2024244453","https://openalex.org/W2060185368","https://openalex.org/W2592336120","https://openalex.org/W2798428635","https://openalex.org/W4231868828","https://openalex.org/W4238030752","https://openalex.org/W4245863473","https://openalex.org/W4298057880"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4255837520","https://openalex.org/W2387011115","https://openalex.org/W4234808182","https://openalex.org/W2382043075","https://openalex.org/W2809151339","https://openalex.org/W4243903653","https://openalex.org/W2016165693","https://openalex.org/W2952106254","https://openalex.org/W2315835829"],"abstract_inverted_index":{"We":[0,57],"study":[1],"finite":[2],"\u2113\u2010colourable":[3,154],"structures":[4,22],"with":[5,101,124],"an":[6,106,132,153],"underlying":[7],"pregeometry.":[8],"The":[9,97],"probability":[10,63,103,126,151],"measure":[11,86],"that":[12,43,65],"is":[13,64,110,114,131,144],"used":[14],"corresponds":[15],"to":[16,30,139,161],"a":[17,41,54,81,115,157],"process":[18],"of":[19,76,99,163],"generating":[20,78],"such":[21,40,122],"by":[23,146],"which":[24,109,134],"colours":[25],"are":[26,37,47],"first":[27],"randomly":[28],"assigned":[29,38],"all":[31],"1\u2010dimensional":[32],"subspaces":[33],"and":[34,141],"then":[35,59],"relationships":[36],"in":[39,53],"way":[42],"the":[44,62,66,73,77,89,128,136,164],"colouring":[45,75],"conditions":[46],"satisfied":[48],"but":[49],"apart":[50],"from":[51],"this":[52,85],"random":[55],"way.":[56],"can":[58],"ask":[60],"what":[61],"resulting":[67],"structure,":[68],"where":[69],"we":[70,87],"now":[71],"forget":[72],"specific":[74],"process,":[79],"has":[80,105,156],"given":[82],"property.":[83],"With":[84,149],"get":[88],"following":[90],"results:":[91],"(1)":[92],"A":[93],"zero\u2010one":[94],"law.":[95],"(2)":[96],"set":[98],"sentences":[100],"asymptotic":[102,125,150],"1":[104],"explicit":[107],"axiomatisation":[108],"presented.":[111],"(3)":[112],"There":[113],"formula":[116],"(not":[117],"directly":[118],"speaking":[119],"about":[120],"colours)":[121],"that,":[123],"1,":[127,152],"relation":[129],"\u201cthere":[130],"\u2113\u2010colouring":[133,159],"assigns":[135],"same":[137],"colour":[138],"x":[140],"y":[142],"\u201d":[143],"defined":[145],".":[147],"(4)":[148],"structure":[155],"unique":[158],"(up":[160],"permutation":[162],"colours).":[165]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-07T14:30:12.667765","created_date":"2019-06-27T00:00:00"}