{"id":"https://openalex.org/W1966702446","doi":"https://doi.org/10.1007/s00373-010-0921-1","title":"Cycle Lemma, Parking Functions and Related Multigraphs","display_name":"Cycle Lemma, Parking Functions and Related Multigraphs","publication_year":2010,"publication_date":"2010-03-01","ids":{"openalex":"https://openalex.org/W1966702446","doi":"https://doi.org/10.1007/s00373-010-0921-1","mag":"1966702446"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-010-0921-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-010-0921-1","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/A5075113703","display_name":"Sen\u2010Peng Eu","orcid":"https://orcid.org/0000-0002-2645-2625"},"institutions":[{"id":"https://openalex.org/I192168892","display_name":"National University of Kaohsiung","ror":"https://ror.org/013zjb662","country_code":"TW","type":"education","lineage":["https://openalex.org/I192168892"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Sen-Peng Eu","raw_affiliation_strings":["Department of Applied Mathematics, National University of Kaohsiung, Kaohsiung, 811, Taiwan, ROC","National University of Kaohsiung, Department of Applied Mathematics, 811, Kaohsiung, Taiwan, ROC#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, National University of Kaohsiung, Kaohsiung, 811, Taiwan, ROC","institution_ids":["https://openalex.org/I192168892"]},{"raw_affiliation_string":"National University of Kaohsiung, Department of Applied Mathematics, 811, Kaohsiung, Taiwan, ROC#TAB#","institution_ids":["https://openalex.org/I192168892"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016070662","display_name":"Tung-Shan Fu","orcid":"https://orcid.org/0000-0002-7690-9742"},"institutions":[{"id":"https://openalex.org/I1309796872","display_name":"National Pingtung University","ror":"https://ror.org/03z698x91","country_code":"TW","type":"education","lineage":["https://openalex.org/I1309796872"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Tung-Shan Fu","raw_affiliation_strings":["Mathematics Faculty, National Pingtung Institute of Commerce, Pingtung, 900, Taiwan, ROC","National Pingtung Institute of Commerce, Mathematics Faculty, 900, Pingtung, Taiwan, ROC#TAB#"],"affiliations":[{"raw_affiliation_string":"Mathematics Faculty, National Pingtung Institute of Commerce, Pingtung, 900, Taiwan, ROC","institution_ids":["https://openalex.org/I1309796872"]},{"raw_affiliation_string":"National Pingtung Institute of Commerce, Mathematics Faculty, 900, Pingtung, Taiwan, ROC#TAB#","institution_ids":["https://openalex.org/I1309796872"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077270236","display_name":"Chun\u2010Ju Lai","orcid":"https://orcid.org/0000-0001-8433-0653"},"institutions":[{"id":"https://openalex.org/I16733864","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95","country_code":"TW","type":"education","lineage":["https://openalex.org/I16733864"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Chun-Ju Lai","raw_affiliation_strings":["Department of Electrical Engineering, National Taiwan University, Taipei, 106, Taiwan, ROC","National Taiwan University, Department of Electrical Engineering, 106, Taipei, Taiwan, ROC#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, National Taiwan University, Taipei, 106, Taiwan, ROC","institution_ids":["https://openalex.org/I16733864"]},{"raw_affiliation_string":"National Taiwan University, Department of Electrical Engineering, 106, Taipei, Taiwan, ROC#TAB#","institution_ids":["https://openalex.org/I16733864"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5075113703"],"corresponding_institution_ids":["https://openalex.org/I192168892"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.06751955,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"26","issue":"3","first_page":"345","last_page":"360"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9998999834060669,"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":0.9998999834060669,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9973000288009644,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9970999956130981,"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/mathematics","display_name":"Mathematics","score":0.8443968296051025},{"id":"https://openalex.org/keywords/multigraph","display_name":"Multigraph","score":0.8418945074081421},{"id":"https://openalex.org/keywords/enumeration","display_name":"Enumeration","score":0.8296737670898438},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7693842649459839},{"id":"https://openalex.org/keywords/overline","display_name":"Overline","score":0.7293200492858887},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.7032705545425415},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.661048173904419},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5493646264076233},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.45130810141563416},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4284508228302002},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.11955487728118896},{"id":"https://openalex.org/keywords/botany","display_name":"Botany","score":0.05636143684387207}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8443968296051025},{"id":"https://openalex.org/C17758045","wikidata":"https://www.wikidata.org/wiki/Q2642629","display_name":"Multigraph","level":3,"score":0.8418945074081421},{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.8296737670898438},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7693842649459839},{"id":"https://openalex.org/C2776508292","wikidata":"https://www.wikidata.org/wiki/Q334025","display_name":"Overline","level":2,"score":0.7293200492858887},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.7032705545425415},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.661048173904419},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5493646264076233},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.45130810141563416},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4284508228302002},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.11955487728118896},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.05636143684387207},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00373-010-0921-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-010-0921-1","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5699999928474426,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1498404038","https://openalex.org/W1514324498","https://openalex.org/W1526839219","https://openalex.org/W1597381512","https://openalex.org/W1910083634","https://openalex.org/W1965605835","https://openalex.org/W1969007985","https://openalex.org/W1970802990","https://openalex.org/W1996588825","https://openalex.org/W2012944569","https://openalex.org/W2013269097","https://openalex.org/W2017408364","https://openalex.org/W2019362771","https://openalex.org/W2037190943","https://openalex.org/W2050156913","https://openalex.org/W2050285673","https://openalex.org/W2078152973","https://openalex.org/W2087726143","https://openalex.org/W2254723345","https://openalex.org/W4212799367","https://openalex.org/W4231199984"],"related_works":["https://openalex.org/W2964122414","https://openalex.org/W2781078086","https://openalex.org/W2914213999","https://openalex.org/W108845024","https://openalex.org/W2114952748","https://openalex.org/W2245212494","https://openalex.org/W2248047307","https://openalex.org/W2903203238","https://openalex.org/W4289241256","https://openalex.org/W1966702446"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}