{"id":"https://openalex.org/W2085334526","doi":"https://doi.org/10.1016/s0304-3975(03)00220-2","title":"Two bijective proofs for the arborescent form of the Good\u2013Lagrange formula and some applications to colored rooted trees and cacti","display_name":"Two bijective proofs for the arborescent form of the Good\u2013Lagrange formula and some applications to colored rooted trees and cacti","publication_year":2003,"publication_date":"2003-05-01","ids":{"openalex":"https://openalex.org/W2085334526","doi":"https://doi.org/10.1016/s0304-3975(03)00220-2","mag":"2085334526"},"language":"en","primary_location":{"id":"doi:10.1016/s0304-3975(03)00220-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0304-3975(03)00220-2","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"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":"Theoretical Computer Science","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/A5104521505","display_name":"Michel Bousquet","orcid":null},"institutions":[{"id":"https://openalex.org/I159129438","display_name":"Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al","ror":"https://ror.org/002rjbv21","country_code":"CA","type":"education","lineage":["https://openalex.org/I159129438","https://openalex.org/I49663120"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Michel Bousquet","raw_affiliation_strings":["LaCIM, Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al, Qu\u00e9, Canada H3C 3P8"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LaCIM, Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al, Qu\u00e9, Canada H3C 3P8","institution_ids":["https://openalex.org/I159129438"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063811688","display_name":"C\u00e9dric Chauve","orcid":"https://orcid.org/0000-0001-9837-1878"},"institutions":[{"id":"https://openalex.org/I159129438","display_name":"Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al","ror":"https://ror.org/002rjbv21","country_code":"CA","type":"education","lineage":["https://openalex.org/I159129438","https://openalex.org/I49663120"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Cedric Chauve","raw_affiliation_strings":["LaCIM, Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al, Qu\u00e9, Canada H3C 3P8"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LaCIM, Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al, Qu\u00e9, Canada H3C 3P8","institution_ids":["https://openalex.org/I159129438"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085097957","display_name":"Gilbert Labelle","orcid":"https://orcid.org/0000-0003-0281-000X"},"institutions":[{"id":"https://openalex.org/I159129438","display_name":"Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al","ror":"https://ror.org/002rjbv21","country_code":"CA","type":"education","lineage":["https://openalex.org/I159129438","https://openalex.org/I49663120"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Gilbert Labelle","raw_affiliation_strings":["LaCIM, Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al, Qu\u00e9, Canada H3C 3P8"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LaCIM, Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al, Qu\u00e9, Canada H3C 3P8","institution_ids":["https://openalex.org/I159129438"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053405840","display_name":"Pierre Leroux","orcid":null},"institutions":[{"id":"https://openalex.org/I159129438","display_name":"Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al","ror":"https://ror.org/002rjbv21","country_code":"CA","type":"education","lineage":["https://openalex.org/I159129438","https://openalex.org/I49663120"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Pierre Leroux","raw_affiliation_strings":["LaCIM, Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al, Qu\u00e9, Canada H3C 3P8"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LaCIM, Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al, Qu\u00e9, Canada H3C 3P8","institution_ids":["https://openalex.org/I159129438"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.18925703,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"307","issue":"2","first_page":"277","last_page":"302"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9947999715805054,"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":0.9947999715805054,"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/T10487","display_name":"Plant and animal studies","score":0.9878000020980835,"subfield":{"id":"https://openalex.org/subfields/1105","display_name":"Ecology, Evolution, Behavior and Systematics"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T12748","display_name":"Molecular spectroscopy and chirality","score":0.9776999950408936,"subfield":{"id":"https://openalex.org/subfields/1607","display_name":"Spectroscopy"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/colored","display_name":"Colored","score":0.8266006708145142},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.7781997919082642},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7607839703559875},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.6495384573936462},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5494567155838013},{"id":"https://openalex.org/keywords/polyomino","display_name":"Polyomino","score":0.41925618052482605},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36574381589889526},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35214826464653015},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3463273048400879},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07965421676635742}],"concepts":[{"id":"https://openalex.org/C2778307483","wikidata":"https://www.wikidata.org/wiki/Q5149038","display_name":"Colored","level":2,"score":0.8266006708145142},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.7781997919082642},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7607839703559875},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.6495384573936462},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5494567155838013},{"id":"https://openalex.org/C69919132","wikidata":"https://www.wikidata.org/wiki/Q1144819","display_name":"Polyomino","level":3,"score":0.41925618052482605},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36574381589889526},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35214826464653015},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3463273048400879},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07965421676635742},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0304-3975(03)00220-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0304-3975(03)00220-2","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"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":"Theoretical Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15","score":0.5400000214576721}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W130399696","https://openalex.org/W140247548","https://openalex.org/W310081260","https://openalex.org/W599250420","https://openalex.org/W1528326162","https://openalex.org/W1973467451","https://openalex.org/W1975206347","https://openalex.org/W1985872741","https://openalex.org/W1988586833","https://openalex.org/W2003040377","https://openalex.org/W2004308928","https://openalex.org/W2031323885","https://openalex.org/W2035402840","https://openalex.org/W2050396985","https://openalex.org/W2054775758","https://openalex.org/W2061587711","https://openalex.org/W2072788638","https://openalex.org/W2072812058","https://openalex.org/W2078463495","https://openalex.org/W2135112375","https://openalex.org/W2140613962","https://openalex.org/W2320746851","https://openalex.org/W2326100434","https://openalex.org/W2330150573","https://openalex.org/W2330548796","https://openalex.org/W2911361414","https://openalex.org/W2914659449","https://openalex.org/W4210242489","https://openalex.org/W4285719527","https://openalex.org/W6607101846","https://openalex.org/W6618147227","https://openalex.org/W6631466798"],"related_works":["https://openalex.org/W4300028912","https://openalex.org/W2952260464","https://openalex.org/W4287702508","https://openalex.org/W3046539174","https://openalex.org/W2009666428","https://openalex.org/W2982899659","https://openalex.org/W2027759271","https://openalex.org/W10230311","https://openalex.org/W4307184757","https://openalex.org/W2794831133"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}