{"id":"https://openalex.org/W1981547054","doi":"https://doi.org/10.1016/j.disc.2010.07.017","title":"A note on 2-distant noncrossing partitions and weighted Motzkin paths","display_name":"A note on 2-distant noncrossing partitions and weighted Motzkin paths","publication_year":2010,"publication_date":"2010-08-20","ids":{"openalex":"https://openalex.org/W1981547054","doi":"https://doi.org/10.1016/j.disc.2010.07.017","mag":"1981547054"},"language":"en","primary_location":{"id":"doi:10.1016/j.disc.2010.07.017","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.disc.2010.07.017","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","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/A5050163260","display_name":"Ira M. Gessel","orcid":"https://orcid.org/0000-0003-1061-5095"},"institutions":[{"id":"https://openalex.org/I169173203","display_name":"D\u00e9l\u00e9gation Paris 7","ror":"https://ror.org/00bw5n526","country_code":"FR","type":"government","lineage":["https://openalex.org/I154526488","https://openalex.org/I169173203"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210094115","display_name":"Laboratoire d'Informatique Algorithmique: Fondements et Applications","ror":"https://ror.org/00pbqgm18","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210094115","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I6902469","display_name":"Brandeis University","ror":"https://ror.org/05abbep66","country_code":"US","type":"education","lineage":["https://openalex.org/I6902469"]}],"countries":["FR","US"],"is_corresponding":false,"raw_author_name":"Ira M. Gessel","raw_affiliation_strings":["Department of Mathematics, MS 050, Brandeis University, Waltham, MA 02454-9110, USA","LIAFA, Universit\u00e9 Paris Diderot, 175 rue du Chevaleret, 75013 Paris, France"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, MS 050, Brandeis University, Waltham, MA 02454-9110, USA","institution_ids":["https://openalex.org/I6902469"]},{"raw_affiliation_string":"LIAFA, Universit\u00e9 Paris Diderot, 175 rue du Chevaleret, 75013 Paris, France","institution_ids":["https://openalex.org/I169173203","https://openalex.org/I4210094115","https://openalex.org/I204730241"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000089868","display_name":"Jang Soo Kim","orcid":"https://orcid.org/0000-0002-6397-9477"},"institutions":[{"id":"https://openalex.org/I169173203","display_name":"D\u00e9l\u00e9gation Paris 7","ror":"https://ror.org/00bw5n526","country_code":"FR","type":"government","lineage":["https://openalex.org/I154526488","https://openalex.org/I169173203"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210094115","display_name":"Laboratoire d'Informatique Algorithmique: Fondements et Applications","ror":"https://ror.org/00pbqgm18","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210094115","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I6902469","display_name":"Brandeis University","ror":"https://ror.org/05abbep66","country_code":"US","type":"education","lineage":["https://openalex.org/I6902469"]}],"countries":["FR","US"],"is_corresponding":true,"raw_author_name":"Jang Soo Kim","raw_affiliation_strings":["Department of Mathematics, MS 050, Brandeis University, Waltham, MA 02454-9110, USA","LIAFA, Universit\u00e9 Paris Diderot, 175 rue du Chevaleret, 75013 Paris, France"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, MS 050, Brandeis University, Waltham, MA 02454-9110, USA","institution_ids":["https://openalex.org/I6902469"]},{"raw_affiliation_string":"LIAFA, Universit\u00e9 Paris Diderot, 175 rue du Chevaleret, 75013 Paris, France","institution_ids":["https://openalex.org/I169173203","https://openalex.org/I4210094115","https://openalex.org/I204730241"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5000089868"],"corresponding_institution_ids":["https://openalex.org/I169173203","https://openalex.org/I204730241","https://openalex.org/I4210094115","https://openalex.org/I6902469"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.08031272,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"310","issue":"23","first_page":"3421","last_page":"3425"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":1.0,"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":1.0,"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/T11716","display_name":"Random Matrices and Applications","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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":0.8976731300354004},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8435640335083008},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.8111915588378906},{"id":"https://openalex.org/keywords/fibonacci-number","display_name":"Fibonacci number","score":0.7673798203468323},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.6308468580245972},{"id":"https://openalex.org/keywords/combinatorial-proof","display_name":"Combinatorial proof","score":0.5649495124816895},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.4837363064289093},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4638485908508301},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3872295022010803},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06057038903236389},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.04494762420654297}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8976731300354004},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8435640335083008},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.8111915588378906},{"id":"https://openalex.org/C173734053","wikidata":"https://www.wikidata.org/wiki/Q47577","display_name":"Fibonacci number","level":2,"score":0.7673798203468323},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6308468580245972},{"id":"https://openalex.org/C118539577","wikidata":"https://www.wikidata.org/wiki/Q3402784","display_name":"Combinatorial proof","level":2,"score":0.5649495124816895},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.4837363064289093},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4638485908508301},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3872295022010803},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06057038903236389},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.04494762420654297},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.disc.2010.07.017","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.disc.2010.07.017","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W24042450","https://openalex.org/W1539140237","https://openalex.org/W1636906395","https://openalex.org/W1991970577","https://openalex.org/W2138595743","https://openalex.org/W2950903206","https://openalex.org/W6600994778","https://openalex.org/W6632194908"],"related_works":["https://openalex.org/W2999935146","https://openalex.org/W3013460418","https://openalex.org/W4324296894","https://openalex.org/W2166066502","https://openalex.org/W2509555593","https://openalex.org/W4303647955","https://openalex.org/W2811365892","https://openalex.org/W2547957268","https://openalex.org/W1507337585","https://openalex.org/W1822767933"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}