{"id":"https://openalex.org/W1509198134","doi":"https://doi.org/10.37236/1829","title":"Standard Paths in Another Composition Poset","display_name":"Standard Paths in Another Composition Poset","publication_year":2004,"publication_date":"2004-10-26","ids":{"openalex":"https://openalex.org/W1509198134","doi":"https://doi.org/10.37236/1829","mag":"1509198134"},"language":"en","primary_location":{"id":"doi:10.37236/1829","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1829","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v11i1r76/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v11i1r76/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080922436","display_name":"Jan Snellman","orcid":"https://orcid.org/0000-0001-8230-6502"},"institutions":[{"id":"https://openalex.org/I161593684","display_name":"Stockholm University","ror":"https://ror.org/05f0yaq80","country_code":"SE","type":"education","lineage":["https://openalex.org/I161593684"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Jan Snellman","raw_affiliation_strings":["Department of Mathematics, Stockholm University SE-10691 Stockholm, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Stockholm University SE-10691 Stockholm, Sweden","institution_ids":["https://openalex.org/I161593684"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5080922436"],"corresponding_institution_ids":["https://openalex.org/I161593684"],"apc_list":null,"apc_paid":null,"fwci":4.6662,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.94619486,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"11","issue":"1","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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9972000122070312,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9948999881744385,"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/partially-ordered-set","display_name":"Partially ordered set","score":0.9041612148284912},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.860521674156189},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8424496650695801},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8103001117706299},{"id":"https://openalex.org/keywords/hasse-diagram","display_name":"Hasse diagram","score":0.7237695455551147},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.6276305317878723},{"id":"https://openalex.org/keywords/composition","display_name":"Composition (language)","score":0.5425111055374146},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4753151535987854},{"id":"https://openalex.org/keywords/diagram","display_name":"Diagram","score":0.47168734669685364},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.43825194239616394},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3648655116558075},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08647748827934265},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06663575768470764},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06368756294250488}],"concepts":[{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.9041612148284912},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.860521674156189},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8424496650695801},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8103001117706299},{"id":"https://openalex.org/C140002607","wikidata":"https://www.wikidata.org/wiki/Q901446","display_name":"Hasse diagram","level":3,"score":0.7237695455551147},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.6276305317878723},{"id":"https://openalex.org/C40231798","wikidata":"https://www.wikidata.org/wiki/Q1333743","display_name":"Composition (language)","level":2,"score":0.5425111055374146},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4753151535987854},{"id":"https://openalex.org/C186399060","wikidata":"https://www.wikidata.org/wiki/Q959962","display_name":"Diagram","level":2,"score":0.47168734669685364},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.43825194239616394},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3648655116558075},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08647748827934265},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06663575768470764},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06368756294250488},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.37236/1829","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1829","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v11i1r76/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.237.3276","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.237.3276","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/math/0309458v1.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.79.1644","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.79.1644","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.combinatorics.org/Volume_11/PDF/v11i1r76.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.37236/1829","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1829","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v11i1r76/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1509198134.pdf","grobid_xml":"https://content.openalex.org/works/W1509198134.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W1598971509","https://openalex.org/W2126209209","https://openalex.org/W2502967935","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4285318154","https://openalex.org/W1971909446","https://openalex.org/W2392506288","https://openalex.org/W3036523495","https://openalex.org/W2044236996","https://openalex.org/W2090163613","https://openalex.org/W1580131754","https://openalex.org/W3161628358","https://openalex.org/W2361380012","https://openalex.org/W2949119638"],"abstract_inverted_index":{"Bergeron,":[0],"Bousquet-M\u00e9lou":[1],"and":[2,29,148],"Dulucq":[3],"[Ann.":[4],"Sci.":[5],"Math.":[6],"Qu\u00e9bec":[7],"19":[8],"(1995),":[9],"139\u2013151]":[10],"enumerated":[11],"paths":[12,144,151],"in":[13,70],"the":[14,18,21,50,66,74,78,94,98,117,130,134],"Hasse":[15],"diagram":[16],"of":[17,26,49,52,59,83,86,116,119,126,136,145,152],"following":[19,79],"poset:":[20],"underlying":[22,95],"set":[23,96],"is":[24,82,97],"that":[25],"all":[27],"compositions,":[28],"a":[30,57,124],"composition":[31,35],"$\\mu$":[32,38,101,105],"covers":[33,102],"another":[34],"$\\lambda$":[36,43,103,110],"if":[37,104],"can":[39,106],"be":[40,107],"obtained":[41,108],"from":[42,109],"by":[44,55,111,122],"adding":[45,112],"$1$":[46,61,113,128],"to":[47,72,89,114],"one":[48,115],"parts":[51,118],"$\\lambda$,":[53,120],"or":[54,121,132],"inserting":[56,123],"part":[58,125],"size":[60,127],"into":[62],"$\\lambda$.":[63,137],"We":[64,138],"employ":[65],"methods":[67],"they":[68],"developed":[69],"order":[71],"study":[73],"same":[75],"problem":[76],"for":[77,142,149],"poset,":[80],"which":[81],"interest":[84],"because":[85],"its":[87],"relation":[88],"non-commutative":[90],"term":[91],"orders":[92],":":[93],"same,":[99],"but":[100],"at":[129,133],"left":[131],"right":[135],"calculate":[139],"generating":[140],"functions":[141],"standard":[143,150],"fixed":[146],"width":[147],"height":[153],"$\\le":[154],"2$.":[155]},"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}