{"id":"https://openalex.org/W3095267822","doi":"https://doi.org/10.1017/s0963548320000425","title":"The minimum perfect matching in pseudo-dimension 0 &lt; <i>q</i> &lt; 1","display_name":"The minimum perfect matching in pseudo-dimension 0 &lt; <i>q</i> &lt; 1","publication_year":2020,"publication_date":"2020-10-27","ids":{"openalex":"https://openalex.org/W3095267822","doi":"https://doi.org/10.1017/s0963548320000425","mag":"3095267822"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548320000425","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548320000425","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/6BAAA80D6E991F2CF818F0EFEBA188F1/S0963548320000425a.pdf/div-class-title-the-minimum-perfect-matching-in-pseudo-dimension-0-andlt-span-class-italic-q-span-andlt-1-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/6BAAA80D6E991F2CF818F0EFEBA188F1/S0963548320000425a.pdf/div-class-title-the-minimum-perfect-matching-in-pseudo-dimension-0-andlt-span-class-italic-q-span-andlt-1-div.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108234910","display_name":"Joel Larsson","orcid":"https://orcid.org/0000-0001-9748-2576"},"institutions":[{"id":"https://openalex.org/I1294350288","display_name":"Scania (Sweden)","ror":"https://ror.org/03g4sde39","country_code":"SE","type":"company","lineage":["https://openalex.org/I1294350288"]},{"id":"https://openalex.org/I187531555","display_name":"Lund University","ror":"https://ror.org/012a77v79","country_code":"SE","type":"education","lineage":["https://openalex.org/I187531555"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Joel Larsson","raw_affiliation_strings":["Department of Statistics, Lund University, Lund, Scania, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Lund University, Lund, Scania, Sweden","institution_ids":["https://openalex.org/I1294350288","https://openalex.org/I187531555"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5108234910"],"corresponding_institution_ids":["https://openalex.org/I1294350288","https://openalex.org/I187531555"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.29464286,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"30","issue":"3","first_page":"374","last_page":"397"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9980000257492065,"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"}},{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9976999759674072,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.784873366355896},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.7109661102294922},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6983712315559387},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.6788943409919739},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6125950813293457},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5882970094680786},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.5445135235786438},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4131011664867401},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2334618866443634},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16468274593353271},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.061659663915634155},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.06096464395523071}],"concepts":[{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.784873366355896},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7109661102294922},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6983712315559387},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.6788943409919739},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6125950813293457},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5882970094680786},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.5445135235786438},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4131011664867401},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2334618866443634},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16468274593353271},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.061659663915634155},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.06096464395523071},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1017/s0963548320000425","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548320000425","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/6BAAA80D6E991F2CF818F0EFEBA188F1/S0963548320000425a.pdf/div-class-title-the-minimum-perfect-matching-in-pseudo-dimension-0-andlt-span-class-italic-q-span-andlt-1-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},{"id":"pmh:oai:lup.lub.lu.se:0b80a905-afa8-45b2-a51a-7e73b426275c","is_oa":false,"landing_page_url":"https://lup.lub.lu.se/record/0b80a905-afa8-45b2-a51a-7e73b426275c","pdf_url":null,"source":{"id":"https://openalex.org/S4306400536","display_name":"Lund University Publications (Lund University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I187531555","host_organization_name":"Lund University","host_organization_lineage":["https://openalex.org/I187531555"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0963-5483","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1017/s0963548320000425","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548320000425","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/6BAAA80D6E991F2CF818F0EFEBA188F1/S0963548320000425a.pdf/div-class-title-the-minimum-perfect-matching-in-pseudo-dimension-0-andlt-span-class-italic-q-span-andlt-1-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3095267822.pdf","grobid_xml":"https://content.openalex.org/works/W3095267822.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W273178449","https://openalex.org/W1504317671","https://openalex.org/W1564100130","https://openalex.org/W1872905819","https://openalex.org/W1930604537","https://openalex.org/W1980848544","https://openalex.org/W2003351966","https://openalex.org/W2047072485","https://openalex.org/W2070993566","https://openalex.org/W2080178200","https://openalex.org/W2089435411","https://openalex.org/W2099870086","https://openalex.org/W2119414881","https://openalex.org/W2141499077","https://openalex.org/W2529617700","https://openalex.org/W4247422315"],"related_works":["https://openalex.org/W3194471551","https://openalex.org/W4375956809","https://openalex.org/W1581373162","https://openalex.org/W2784911598","https://openalex.org/W4297950433","https://openalex.org/W4287023968","https://openalex.org/W4288279572","https://openalex.org/W1973978937","https://openalex.org/W2988146108","https://openalex.org/W3184306172"],"abstract_inverted_index":{"Abstract":[0],"It":[1],"is":[2],"known":[3],"that":[4],"for":[5,33],"K":[6],"n,n":[7],"equipped":[8],"with":[9],"i.i.d.":[10],"exp":[11],"(1)":[12],"edge":[13,35],"costs,":[14],"the":[15,58,62],"minimum":[16],"total":[17],"cost":[18,36],"of":[19,38],"a":[20],"perfect":[21],"matching":[22],"converges":[23],"to":[24,51],"$\\zeta(2)=\\pi^2/6$":[25],"in":[26,61],"probability.":[27],"Similar":[28],"convergence":[29],"has":[30],"been":[31],"established":[32],"all":[34,52],"distributions":[37],"pseudo-dimension":[39],"$q":[40],"\\geq":[41],"1$":[42],".":[43],"In":[44],"this":[45],"paper":[46],"we":[47],"extend":[48],"those":[49],"results":[50],"real":[53],"positive":[54],"q":[55],",":[56],"confirming":[57],"M\u00e9zard\u2013Parisi":[59],"conjecture":[60],"last":[63],"remaining":[64],"applicable":[65],"case.":[66]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2020-11-09T00:00:00"}