{"id":"https://openalex.org/W2088241483","doi":"https://doi.org/10.1007/s001530050165","title":"Reverse mathematics and rank functions for directed graphs","display_name":"Reverse mathematics and rank functions for directed graphs","publication_year":2000,"publication_date":"2000-11-01","ids":{"openalex":"https://openalex.org/W2088241483","doi":"https://doi.org/10.1007/s001530050165","mag":"2088241483"},"language":"en","primary_location":{"id":"doi:10.1007/s001530050165","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001530050165","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"Archive for Mathematical Logic","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/A5064590936","display_name":"Jeffry L. Hirst","orcid":"https://orcid.org/0000-0002-8273-8951"},"institutions":[{"id":"https://openalex.org/I430192","display_name":"Appalachian State University","ror":"https://ror.org/051m4vc48","country_code":"US","type":"education","lineage":["https://openalex.org/I430192"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jeffry L. Hirst","raw_affiliation_strings":["Department of Mathematics, Appalachian State University, Boone, NC 28608, USA; e-mail: jlh@math.appstate.edu, , , , , , US","Department of Mathematics, Appalachian State University, Boone, NC 28608, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Appalachian State University, Boone, NC 28608, USA; e-mail: jlh@math.appstate.edu, , , , , , US","institution_ids":["https://openalex.org/I430192"]},{"raw_affiliation_string":"Department of Mathematics, Appalachian State University, Boone, NC 28608, USA","institution_ids":["https://openalex.org/I430192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5064590936"],"corresponding_institution_ids":["https://openalex.org/I430192"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.19751794,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"39","issue":"8","first_page":"569","last_page":"579"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":1.0,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":1.0,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9882000088691711,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7879937887191772},{"id":"https://openalex.org/keywords/reverse-mathematics","display_name":"Reverse mathematics","score":0.7347502708435059},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.7070139050483704},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6435524225234985},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5052424073219299},{"id":"https://openalex.org/keywords/topological-sorting","display_name":"Topological sorting","score":0.49727776646614075},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4966350197792053},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.4685336649417877},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4299905300140381},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3913534879684448}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7879937887191772},{"id":"https://openalex.org/C127753061","wikidata":"https://www.wikidata.org/wiki/Q2005236","display_name":"Reverse mathematics","level":3,"score":0.7347502708435059},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.7070139050483704},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6435524225234985},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5052424073219299},{"id":"https://openalex.org/C176032523","wikidata":"https://www.wikidata.org/wiki/Q753127","display_name":"Topological sorting","level":3,"score":0.49727776646614075},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4966350197792053},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.4685336649417877},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4299905300140381},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3913534879684448},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s001530050165","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001530050165","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"Archive for Mathematical Logic","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W342024761","https://openalex.org/W1556453281","https://openalex.org/W2045897154","https://openalex.org/W2085256946","https://openalex.org/W2086608401","https://openalex.org/W2106260240"],"related_works":["https://openalex.org/W2084763084","https://openalex.org/W2581253638","https://openalex.org/W4380352208","https://openalex.org/W1519800400","https://openalex.org/W4248456770","https://openalex.org/W1998712144","https://openalex.org/W3179321748","https://openalex.org/W1964985116","https://openalex.org/W4292730466","https://openalex.org/W2088241483"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
