{"id":"https://openalex.org/W2743143360","doi":"https://doi.org/10.1007/s00454-018-0027-8","title":"Lower Bounds for the Measurable Chromatic Number of the Hyperbolic Plane","display_name":"Lower Bounds for the Measurable Chromatic Number of the Hyperbolic Plane","publication_year":2018,"publication_date":"2018-09-05","ids":{"openalex":"https://openalex.org/W2743143360","doi":"https://doi.org/10.1007/s00454-018-0027-8","mag":"2743143360"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-018-0027-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-018-0027-8","pdf_url":null,"source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1708.01081","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023755949","display_name":"Evan DeCorte","orcid":"https://orcid.org/0000-0002-3914-4066"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Evan DeCorte","raw_affiliation_strings":["Mathematics and Statistics, McGill University, Burnside Hall Room 1005, 805 Sherbrooke W., Montreal, QC, H3A 0B9, Canada"],"raw_orcid":"https://orcid.org/0000-0002-3914-4066","affiliations":[{"raw_affiliation_string":"Mathematics and Statistics, McGill University, Burnside Hall Room 1005, 805 Sherbrooke W., Montreal, QC, H3A 0B9, Canada","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049291554","display_name":"Konstantin Golubev","orcid":"https://orcid.org/0000-0001-5683-4600"},"institutions":[{"id":"https://openalex.org/I13955877","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495","country_code":"IL","type":"education","lineage":["https://openalex.org/I13955877"]},{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Konstantin Golubev","raw_affiliation_strings":["Bar-Ilan University, 5290002, Ramat Gan, Israel","Weizmann Institute of Science, 7610001, Rehovot, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bar-Ilan University, 5290002, Ramat Gan, Israel","institution_ids":["https://openalex.org/I13955877"]},{"raw_affiliation_string":"Weizmann Institute of Science, 7610001, Rehovot, Israel","institution_ids":["https://openalex.org/I53964585"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023755949"],"corresponding_institution_ids":["https://openalex.org/I5023651"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.6778,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.79675304,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"62","issue":"2","first_page":"481","last_page":"496"},"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":0.9973999857902527,"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":0.9973999857902527,"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":0.9896000027656555,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9894000291824341,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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":0.7822291851043701},{"id":"https://openalex.org/keywords/chromatic-scale","display_name":"Chromatic scale","score":0.7742446660995483},{"id":"https://openalex.org/keywords/hyperbolic-geometry","display_name":"Hyperbolic geometry","score":0.7384585738182068},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7164533138275146},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.6733343005180359},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6181390881538391},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.6161291003227234},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.49790406227111816},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.47350627183914185},{"id":"https://openalex.org/keywords/hyperbolic-triangle","display_name":"Hyperbolic triangle","score":0.4547431468963623},{"id":"https://openalex.org/keywords/euclidean-distance","display_name":"Euclidean distance","score":0.42139020562171936},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20903870463371277},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17751798033714294},{"id":"https://openalex.org/keywords/algebraic-geometry","display_name":"Algebraic geometry","score":0.12969139218330383}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7822291851043701},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.7742446660995483},{"id":"https://openalex.org/C206352148","wikidata":"https://www.wikidata.org/wiki/Q209306","display_name":"Hyperbolic geometry","level":3,"score":0.7384585738182068},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7164533138275146},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.6733343005180359},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6181390881538391},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.6161291003227234},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.49790406227111816},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.47350627183914185},{"id":"https://openalex.org/C82673646","wikidata":"https://www.wikidata.org/wiki/Q2246553","display_name":"Hyperbolic triangle","level":4,"score":0.4547431468963623},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.42139020562171936},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20903870463371277},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17751798033714294},{"id":"https://openalex.org/C68363185","wikidata":"https://www.wikidata.org/wiki/Q180969","display_name":"Algebraic geometry","level":2,"score":0.12969139218330383}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00454-018-0027-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-018-0027-8","pdf_url":null,"source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1708.01081","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1708.01081","pdf_url":"https://arxiv.org/pdf/1708.01081","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1708.01081","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1708.01081","pdf_url":"https://arxiv.org/pdf/1708.01081","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":[],"awards":[{"id":"https://openalex.org/G5904207109","display_name":null,"funder_award_id":"336283","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"},{"id":"https://openalex.org/G7325643598","display_name":null,"funder_award_id":"GA 320924-ProGeoCom","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"}],"funders":[{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"},{"id":"https://openalex.org/F4320334765","display_name":"Lady Davis Fellowship Trust, Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W955743062","https://openalex.org/W1487855796","https://openalex.org/W1512447072","https://openalex.org/W1527329021","https://openalex.org/W1945716106","https://openalex.org/W1964447663","https://openalex.org/W1979793360","https://openalex.org/W2006159486","https://openalex.org/W2016785505","https://openalex.org/W2016835416","https://openalex.org/W2022876179","https://openalex.org/W2052535020","https://openalex.org/W2064197162","https://openalex.org/W2078289947","https://openalex.org/W2280071456","https://openalex.org/W2323648801","https://openalex.org/W2355707921","https://openalex.org/W2483722158","https://openalex.org/W2585247698","https://openalex.org/W2795827704","https://openalex.org/W2964230060","https://openalex.org/W3098957505","https://openalex.org/W3100415765","https://openalex.org/W3101514374","https://openalex.org/W3104281467","https://openalex.org/W3127549917","https://openalex.org/W4245266100","https://openalex.org/W4247010094"],"related_works":["https://openalex.org/W136616785","https://openalex.org/W2506831432","https://openalex.org/W2023081456","https://openalex.org/W2034320749","https://openalex.org/W2793302469","https://openalex.org/W1005121375","https://openalex.org/W4213170533","https://openalex.org/W2901772244","https://openalex.org/W2897501241","https://openalex.org/W4248832592"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
