{"id":"https://openalex.org/W1991917222","doi":"https://doi.org/10.1007/s00373-008-0813-9","title":"A Bijection for Eulerian-equivalence Classes of Totally Cyclic Orientations","display_name":"A Bijection for Eulerian-equivalence Classes of Totally Cyclic Orientations","publication_year":2008,"publication_date":"2008-11-01","ids":{"openalex":"https://openalex.org/W1991917222","doi":"https://doi.org/10.1007/s00373-008-0813-9","mag":"1991917222"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-008-0813-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-008-0813-9","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/A5057200343","display_name":"Beifang Chen","orcid":"https://orcid.org/0000-0002-5950-476X"},"institutions":[{"id":"https://openalex.org/I110357561","display_name":"University of the Sciences","ror":"https://ror.org/048gmay44","country_code":"US","type":"education","lineage":["https://openalex.org/I110357561"]},{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]},{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK","US"],"is_corresponding":true,"raw_author_name":"Beifang Chen","raw_affiliation_strings":["Department of Mathematics, Hong Kong University of Sciences and Technology, Clear Water Bay, Kowloon, Hong Kong","Hong Kong University of Sciences and Technology, Department of Mathematics, Clear Water Bay, Kowloon, Hong Kong#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hong Kong University of Sciences and Technology, Clear Water Bay, Kowloon, Hong Kong","institution_ids":["https://openalex.org/I200769079","https://openalex.org/I889458895"]},{"raw_affiliation_string":"Hong Kong University of Sciences and Technology, Department of Mathematics, Clear Water Bay, Kowloon, Hong Kong#TAB#","institution_ids":["https://openalex.org/I110357561","https://openalex.org/I889458895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113340209","display_name":"Arthur L. B. Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Arthur L. B. Yang","raw_affiliation_strings":["Center for Combinatorics, LPMC-TJKLC, Nankai University, Tianjin, 300071, P.R. China","Nankai University, Center for Combinatorics, LPMC-TJKLC, 300071, Tianjin, P.R. China#TAB#"],"affiliations":[{"raw_affiliation_string":"Center for Combinatorics, LPMC-TJKLC, Nankai University, Tianjin, 300071, P.R. China","institution_ids":["https://openalex.org/I205237279"]},{"raw_affiliation_string":"Nankai University, Center for Combinatorics, LPMC-TJKLC, 300071, Tianjin, P.R. China#TAB#","institution_ids":["https://openalex.org/I205237279"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021929741","display_name":"Terence Y. J. Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Terence Y. J. Zhang","raw_affiliation_strings":["Center for Combinatorics, LPMC-TJKLC, Nankai University, Tianjin, 300071, P.R. China","Nankai University, Center for Combinatorics, LPMC-TJKLC, 300071, Tianjin, P.R. China#TAB#"],"affiliations":[{"raw_affiliation_string":"Center for Combinatorics, LPMC-TJKLC, Nankai University, Tianjin, 300071, P.R. China","institution_ids":["https://openalex.org/I205237279"]},{"raw_affiliation_string":"Nankai University, Center for Combinatorics, LPMC-TJKLC, 300071, Tianjin, P.R. China#TAB#","institution_ids":["https://openalex.org/I205237279"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5057200343"],"corresponding_institution_ids":["https://openalex.org/I110357561","https://openalex.org/I200769079","https://openalex.org/I889458895"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.07473842,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"24","issue":"6","first_page":"519","last_page":"530"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9902999997138977,"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":0.9902999997138977,"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/T13115","display_name":"Axial and Atropisomeric Chirality Synthesis","score":0.9884999990463257,"subfield":{"id":"https://openalex.org/subfields/1605","display_name":"Organic Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.986299991607666,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.9387956857681274},{"id":"https://openalex.org/keywords/eulerian-path","display_name":"Eulerian path","score":0.8749157190322876},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8624105453491211},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7223396301269531},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5463202595710754},{"id":"https://openalex.org/keywords/equivalence-class","display_name":"Equivalence class (music)","score":0.5148872137069702},{"id":"https://openalex.org/keywords/cycle-basis","display_name":"Cycle basis","score":0.4893142879009247},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4359493553638458},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4028591215610504},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18579548597335815},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.07843375205993652}],"concepts":[{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.9387956857681274},{"id":"https://openalex.org/C43058520","wikidata":"https://www.wikidata.org/wiki/Q624580","display_name":"Eulerian path","level":3,"score":0.8749157190322876},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8624105453491211},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7223396301269531},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5463202595710754},{"id":"https://openalex.org/C2777044963","wikidata":"https://www.wikidata.org/wiki/Q5384707","display_name":"Equivalence class (music)","level":2,"score":0.5148872137069702},{"id":"https://openalex.org/C26752605","wikidata":"https://www.wikidata.org/wiki/Q16766188","display_name":"Cycle basis","level":5,"score":0.4893142879009247},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4359493553638458},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4028591215610504},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18579548597335815},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.07843375205993652},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.0},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00373-008-0813-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-008-0813-9","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:10.1.1.409.6014","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.409.6014","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.combinatorics.net.cn/homepage/yang/paper/cyz2008.pdf","raw_type":"text"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-26313","is_oa":false,"landing_page_url":"http://repository.hkust.edu.hk/ir/Record/1783.1-26313","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"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":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W188858573","https://openalex.org/W1595605524","https://openalex.org/W1964768960","https://openalex.org/W1969664066","https://openalex.org/W1980309464","https://openalex.org/W1986881475","https://openalex.org/W1998144063","https://openalex.org/W2004308928","https://openalex.org/W2025762001","https://openalex.org/W2042517851","https://openalex.org/W2055584434","https://openalex.org/W2075794743","https://openalex.org/W2085349558","https://openalex.org/W2110539170","https://openalex.org/W2167712310","https://openalex.org/W2314361409","https://openalex.org/W2962809359","https://openalex.org/W4237496336","https://openalex.org/W4249593303"],"related_works":["https://openalex.org/W2962679533","https://openalex.org/W1650321475","https://openalex.org/W4390647552","https://openalex.org/W131040450","https://openalex.org/W2382232876","https://openalex.org/W4296586192","https://openalex.org/W2388830849","https://openalex.org/W2182642161","https://openalex.org/W2137952152","https://openalex.org/W1991917222"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}