{"id":"https://openalex.org/W2012855282","doi":"https://doi.org/10.1007/bf03353000","title":"Catalan Triangulations of the M\u00f6bius Band","display_name":"Catalan Triangulations of the M\u00f6bius Band","publication_year":1997,"publication_date":"1997-09-01","ids":{"openalex":"https://openalex.org/W2012855282","doi":"https://doi.org/10.1007/bf03353000","mag":"2012855282"},"language":"en","primary_location":{"id":"doi:10.1007/bf03353000","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf03353000","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"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":"Graphs and Combinatorics","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/A5056740759","display_name":"Paul H. Edelman","orcid":"https://orcid.org/0000-0001-6963-347X"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Paul H. Edelman","raw_affiliation_strings":["School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA","School of Mathematics, University of Minnesota, Minneapolis, USA 55455#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA","institution_ids":["https://openalex.org/I130238516"]},{"raw_affiliation_string":"School of Mathematics, University of Minnesota, Minneapolis, USA 55455#TAB#","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009173643","display_name":"Victor Reiner","orcid":"https://orcid.org/0000-0002-1816-5693"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Victor Reiner","raw_affiliation_strings":["School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA","School of Mathematics, University of Minnesota, Minneapolis, USA 55455#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA","institution_ids":["https://openalex.org/I130238516"]},{"raw_affiliation_string":"School of Mathematics, University of Minnesota, Minneapolis, USA 55455#TAB#","institution_ids":["https://openalex.org/I130238516"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056740759"],"corresponding_institution_ids":["https://openalex.org/I130238516"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.6503,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.59728868,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"13","issue":"3","first_page":"231","last_page":"243"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","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/T10948","display_name":"Advanced Combinatorial Mathematics","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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9926000237464905,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9742000102996826,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7902868390083313},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7570438981056213},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.6832520961761475},{"id":"https://openalex.org/keywords/catalan","display_name":"Catalan","score":0.6390781402587891},{"id":"https://openalex.org/keywords/catalan-number","display_name":"Catalan number","score":0.6252206563949585},{"id":"https://openalex.org/keywords/triangulation","display_name":"Triangulation","score":0.6001107692718506},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5390928983688354},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5000495910644531},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.4725886285305023},{"id":"https://openalex.org/keywords/m\u00f6bius-strip","display_name":"M\u00f6bius strip","score":0.43918660283088684},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1294386088848114},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06823316216468811}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7902868390083313},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7570438981056213},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.6832520961761475},{"id":"https://openalex.org/C164105321","wikidata":"https://www.wikidata.org/wiki/Q7026","display_name":"Catalan","level":2,"score":0.6390781402587891},{"id":"https://openalex.org/C43929256","wikidata":"https://www.wikidata.org/wiki/Q270513","display_name":"Catalan number","level":2,"score":0.6252206563949585},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.6001107692718506},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5390928983688354},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5000495910644531},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.4725886285305023},{"id":"https://openalex.org/C178186502","wikidata":"https://www.wikidata.org/wiki/Q226843","display_name":"M\u00f6bius strip","level":2,"score":0.43918660283088684},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1294386088848114},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06823316216468811},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C15708023","wikidata":"https://www.wikidata.org/wiki/Q80083","display_name":"Humanities","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bf03353000","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf03353000","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"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":"Graphs and Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.11.6210","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.11.6210","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mathe2.uni-bayreuth.de/axel/papers/./reiner:catalan_triangulations_of_the_moebius_band.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1509473069","https://openalex.org/W1966042529","https://openalex.org/W1981535829","https://openalex.org/W1996008071","https://openalex.org/W2029293816","https://openalex.org/W2052888479","https://openalex.org/W2070552865","https://openalex.org/W2086256358","https://openalex.org/W2105180981","https://openalex.org/W2172042336"],"related_works":["https://openalex.org/W3102813141","https://openalex.org/W4243701842","https://openalex.org/W2083685161","https://openalex.org/W1532151970","https://openalex.org/W2587212332","https://openalex.org/W2981039934","https://openalex.org/W2170246522","https://openalex.org/W2896425637","https://openalex.org/W2083359768","https://openalex.org/W2012855282"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}