{"id":"https://openalex.org/W1995113137","doi":"https://doi.org/10.2178/bsl.1804030","title":"The graph-theoretic approach to descriptive set theory","display_name":"The graph-theoretic approach to descriptive set theory","publication_year":2012,"publication_date":"2012-11-13","ids":{"openalex":"https://openalex.org/W1995113137","doi":"https://doi.org/10.2178/bsl.1804030","mag":"1995113137"},"language":"en","primary_location":{"id":"doi:10.2178/bsl.1804030","is_oa":false,"landing_page_url":"https://doi.org/10.2178/bsl.1804030","pdf_url":null,"source":{"id":"https://openalex.org/S130801046","display_name":"Bulletin of Symbolic Logic","issn_l":"1079-8986","issn":["1079-8986","1943-5894"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Bulletin of Symbolic 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/A5044348442","display_name":"Benjamin D. Miller","orcid":"https://orcid.org/0000-0002-7549-1866"},"institutions":[{"id":"https://openalex.org/I22465464","display_name":"University of M\u00fcnster","ror":"https://ror.org/00pd74e08","country_code":"DE","type":"education","lineage":["https://openalex.org/I22465464"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Benjamin D. Miller","raw_affiliation_strings":["Institut f\u00fcr Mathematische Logik und Grundlagenforschung, Fachbereich Mathematik und Informatik, Universit\u00e4t M\u00fcnster, Einsteinstra\u00dfe 62, 48149 M\u00fcnster, Germany E-mail:","Universit\u00e4t M\u00dcNSTER"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematische Logik und Grundlagenforschung, Fachbereich Mathematik und Informatik, Universit\u00e4t M\u00fcnster, Einsteinstra\u00dfe 62, 48149 M\u00fcnster, Germany E-mail:","institution_ids":["https://openalex.org/I22465464"]},{"raw_affiliation_string":"Universit\u00e4t M\u00dcNSTER","institution_ids":["https://openalex.org/I22465464"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5044348442"],"corresponding_institution_ids":["https://openalex.org/I22465464"],"apc_list":null,"apc_paid":null,"fwci":2.4576,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.8727756,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"18","issue":"4","first_page":"554","last_page":"575"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9990000128746033,"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":0.9990000128746033,"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/T12170","display_name":"History and Theory of Mathematics","score":0.9884999990463257,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9872000217437744,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/sketch","display_name":"Sketch","score":0.7917871475219727},{"id":"https://openalex.org/keywords/chromatic-scale","display_name":"Chromatic scale","score":0.6084513664245605},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5700480341911316},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5501735806465149},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5097379088401794},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.4890018701553345},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43274521827697754},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39267635345458984},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3482389748096466},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3395959734916687},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17559757828712463}],"concepts":[{"id":"https://openalex.org/C2779231336","wikidata":"https://www.wikidata.org/wiki/Q7534724","display_name":"Sketch","level":2,"score":0.7917871475219727},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.6084513664245605},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5700480341911316},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5501735806465149},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5097379088401794},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.4890018701553345},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43274521827697754},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39267635345458984},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3482389748096466},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3395959734916687},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17559757828712463},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2178/bsl.1804030","is_oa":false,"landing_page_url":"https://doi.org/10.2178/bsl.1804030","pdf_url":null,"source":{"id":"https://openalex.org/S130801046","display_name":"Bulletin of Symbolic Logic","issn_l":"1079-8986","issn":["1079-8986","1943-5894"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Bulletin of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.bsl/1352802981","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.bsl/1352802981","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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":"","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.44999998807907104,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W55296797","https://openalex.org/W416240055","https://openalex.org/W1539382740","https://openalex.org/W1545549932","https://openalex.org/W1980285933","https://openalex.org/W1993968567","https://openalex.org/W2002932838","https://openalex.org/W2011587048","https://openalex.org/W2019185145","https://openalex.org/W2025488659","https://openalex.org/W2063415448","https://openalex.org/W2072022533","https://openalex.org/W2073081340","https://openalex.org/W2079152571","https://openalex.org/W2115456387","https://openalex.org/W2172831369","https://openalex.org/W2187987725","https://openalex.org/W2328539796","https://openalex.org/W2331194371","https://openalex.org/W2496901757","https://openalex.org/W2499264317","https://openalex.org/W2505216242","https://openalex.org/W2561618607","https://openalex.org/W2963303419","https://openalex.org/W3149536977","https://openalex.org/W4206519198","https://openalex.org/W4213174560","https://openalex.org/W4232141190","https://openalex.org/W4237970627","https://openalex.org/W4242729856","https://openalex.org/W4285719527","https://openalex.org/W6678620325"],"related_works":["https://openalex.org/W2378994405","https://openalex.org/W2385974820","https://openalex.org/W2373478030","https://openalex.org/W2378679551","https://openalex.org/W3178681420","https://openalex.org/W4385627933","https://openalex.org/W2532801570","https://openalex.org/W2480127678","https://openalex.org/W2806270048","https://openalex.org/W4310605282"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"sketch":[2],"the":[3,6],"ideas":[4],"behind":[5],"use":[7],"of":[8],"chromatic":[9],"numbers":[10],"in":[11],"establishing":[12],"descriptive":[13],"set-theoretic":[14],"dichotomy":[15],"theorems.":[16]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}