{"id":"https://openalex.org/W4386750090","doi":"https://doi.org/10.1007/s00373-023-02706-z","title":"The $$\\textbf{uvu}$$-Avoiding (a,\u00a0b,\u00a0c)-Generalized Motzkin Paths with Vertical Steps: Bijections and Statistic Enumerations","display_name":"The $$\\textbf{uvu}$$-Avoiding (a,\u00a0b,\u00a0c)-Generalized Motzkin Paths with Vertical Steps: Bijections and Statistic Enumerations","publication_year":2023,"publication_date":"2023-09-14","ids":{"openalex":"https://openalex.org/W4386750090","doi":"https://doi.org/10.1007/s00373-023-02706-z"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-023-02706-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-023-02706-z","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/A5045830002","display_name":"Yidong Sun","orcid":"https://orcid.org/0000-0002-6763-9912"},"institutions":[{"id":"https://openalex.org/I43313876","display_name":"Dalian Maritime University","ror":"https://ror.org/002b7nr53","country_code":"CN","type":"education","lineage":["https://openalex.org/I43313876"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yidong Sun","raw_affiliation_strings":["School of Science, Dalian Maritime University, Dalian, 116026, People\u2019s Republic of China"],"raw_orcid":"https://orcid.org/0000-0002-6763-9912","affiliations":[{"raw_affiliation_string":"School of Science, Dalian Maritime University, Dalian, 116026, People\u2019s Republic of China","institution_ids":["https://openalex.org/I43313876"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100685802","display_name":"Weichen Wang","orcid":"https://orcid.org/0000-0002-2896-2004"},"institutions":[{"id":"https://openalex.org/I43313876","display_name":"Dalian Maritime University","ror":"https://ror.org/002b7nr53","country_code":"CN","type":"education","lineage":["https://openalex.org/I43313876"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weichen Wang","raw_affiliation_strings":["School of Science, Dalian Maritime University, Dalian, 116026, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Dalian Maritime University, Dalian, 116026, People\u2019s Republic of China","institution_ids":["https://openalex.org/I43313876"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100300343","display_name":"Sun Cheng","orcid":null},"institutions":[{"id":"https://openalex.org/I43313876","display_name":"Dalian Maritime University","ror":"https://ror.org/002b7nr53","country_code":"CN","type":"education","lineage":["https://openalex.org/I43313876"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cheng Sun","raw_affiliation_strings":["School of Science, Dalian Maritime University, Dalian, 116026, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Dalian Maritime University, Dalian, 116026, People\u2019s Republic of China","institution_ids":["https://openalex.org/I43313876"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5045830002"],"corresponding_institution_ids":["https://openalex.org/I43313876"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.6504,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.61484687,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"39","issue":"5","first_page":null,"last_page":null},"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9894000291824341,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bijection-injection-and-surjection","display_name":"Bijection, injection and surjection","score":0.8625460863113403},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8228698968887329},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.784386157989502},{"id":"https://openalex.org/keywords/enumeration","display_name":"Enumeration","score":0.6566630005836487},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.5051279664039612},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.4632303714752197},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.41117945313453674},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38378745317459106},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09522983431816101}],"concepts":[{"id":"https://openalex.org/C48659774","wikidata":"https://www.wikidata.org/wiki/Q4907197","display_name":"Bijection, injection and surjection","level":3,"score":0.8625460863113403},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8228698968887329},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.784386157989502},{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.6566630005836487},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.5051279664039612},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.4632303714752197},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.41117945313453674},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38378745317459106},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09522983431816101},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00373-023-02706-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-023-02706-z","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1551177513","https://openalex.org/W1598244611","https://openalex.org/W1990394199","https://openalex.org/W1994416105","https://openalex.org/W1996946982","https://openalex.org/W1997024121","https://openalex.org/W2009097224","https://openalex.org/W2017381362","https://openalex.org/W2018311683","https://openalex.org/W2024532720","https://openalex.org/W2044408173","https://openalex.org/W2046479912","https://openalex.org/W2060572479","https://openalex.org/W2063356553","https://openalex.org/W2078895051","https://openalex.org/W2175442372","https://openalex.org/W2524766933","https://openalex.org/W2595273038","https://openalex.org/W2911684622","https://openalex.org/W3096350295","https://openalex.org/W4210335754","https://openalex.org/W4253699484","https://openalex.org/W4310021324","https://openalex.org/W4382281273"],"related_works":["https://openalex.org/W2952259524","https://openalex.org/W2160566290","https://openalex.org/W2806276129","https://openalex.org/W4299611798","https://openalex.org/W2963449060","https://openalex.org/W1893226401","https://openalex.org/W1582142388","https://openalex.org/W2885368579","https://openalex.org/W2110957471","https://openalex.org/W9509517"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}
