{"id":"https://openalex.org/W4401418280","doi":"https://doi.org/10.37236/12665","title":"Constructing Maximal Pipedreams of Double Grothendieck Polynomials","display_name":"Constructing Maximal Pipedreams of Double Grothendieck Polynomials","publication_year":2024,"publication_date":"2024-08-08","ids":{"openalex":"https://openalex.org/W4401418280","doi":"https://doi.org/10.37236/12665"},"language":"en","primary_location":{"id":"doi:10.37236/12665","is_oa":true,"landing_page_url":"https://doi.org/10.37236/12665","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v31i3p15/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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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/v31i3p15/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102588224","display_name":"Chen-An Chou","orcid":null},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]},{"id":"https://openalex.org/I4210140792","display_name":"Universidad Cat\u00f3lica Santo Domingo","ror":"https://ror.org/04ytq6y86","country_code":"DO","type":"education","lineage":["https://openalex.org/I4210140792"]}],"countries":["DO","US"],"is_corresponding":true,"raw_author_name":"Chen-An Chou","raw_affiliation_strings":["UCSD","Department of Mathematics, UC San Diego, La Jolla, CA, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UCSD","institution_ids":["https://openalex.org/I4210140792"]},{"raw_affiliation_string":"Department of Mathematics, UC San Diego, La Jolla, CA, U.S.A","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006782292","display_name":"Tianyi Yu","orcid":"https://orcid.org/0000-0003-3087-1504"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]},{"id":"https://openalex.org/I4210140792","display_name":"Universidad Cat\u00f3lica Santo Domingo","ror":"https://ror.org/04ytq6y86","country_code":"DO","type":"education","lineage":["https://openalex.org/I4210140792"]}],"countries":["DO","US"],"is_corresponding":false,"raw_author_name":"Tianyi Yu","raw_affiliation_strings":["UCSD","Department of Mathematics, UC San Diego, La Jolla, CA, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UCSD","institution_ids":["https://openalex.org/I4210140792"]},{"raw_affiliation_string":"Department of Mathematics, UC San Diego, La Jolla, CA, U.S.A","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102588224"],"corresponding_institution_ids":["https://openalex.org/I36258959","https://openalex.org/I4210140792"],"apc_list":null,"apc_paid":null,"fwci":2.2659,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.860587,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"31","issue":"3","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":0.9997000098228455,"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":0.9997000098228455,"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/T11428","display_name":"Advanced Mathematical Identities","score":0.9883000254631042,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9815000295639038,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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":0.8301643133163452},{"id":"https://openalex.org/keywords/monomial","display_name":"Monomial","score":0.7832658290863037},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.7382938861846924},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6470741629600525},{"id":"https://openalex.org/keywords/combinatorial-proof","display_name":"Combinatorial proof","score":0.5424348711967468},{"id":"https://openalex.org/keywords/statistic","display_name":"Statistic","score":0.5341692566871643},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3716384768486023},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06680923700332642}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8301643133163452},{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.7832658290863037},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.7382938861846924},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6470741629600525},{"id":"https://openalex.org/C118539577","wikidata":"https://www.wikidata.org/wiki/Q3402784","display_name":"Combinatorial proof","level":2,"score":0.5424348711967468},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.5341692566871643},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3716384768486023},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06680923700332642},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/12665","is_oa":true,"landing_page_url":"https://doi.org/10.37236/12665","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v31i3p15/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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/12665","is_oa":true,"landing_page_url":"https://doi.org/10.37236/12665","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v31i3p15/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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4401418280.pdf"},"referenced_works_count":11,"referenced_works":["https://openalex.org/W1565192513","https://openalex.org/W2000642568","https://openalex.org/W2026772854","https://openalex.org/W2076288170","https://openalex.org/W2964233192","https://openalex.org/W3069162551","https://openalex.org/W4226128777","https://openalex.org/W4286851508","https://openalex.org/W4294755710","https://openalex.org/W4308926062","https://openalex.org/W4319654050"],"related_works":["https://openalex.org/W4388927662","https://openalex.org/W2963471363","https://openalex.org/W2769202988","https://openalex.org/W2011293550","https://openalex.org/W4298457394","https://openalex.org/W4293877253","https://openalex.org/W2920958659","https://openalex.org/W2951483239","https://openalex.org/W2059650901","https://openalex.org/W4301376359"],"abstract_inverted_index":{"Pechenik,":[0],"Speyer":[1],"and":[2,42],"Weigandt":[3],"defined":[4],"a":[5,31,35,52],"statistic":[6],"rajcode(\u22c5)":[7],"on":[8],"permutations":[9],"which":[10],"characterizes":[11],"the":[12,48],"leading":[13],"monomial":[14],"in":[15],"top":[16],"degree":[17],"components":[18],"of":[19,34,50],"double":[20],"Grothendieck":[21],"polynomials.":[22],"Their":[23],"proof":[24],"is":[25],"combinatorial:":[26],"They":[27,46],"showed":[28],"there":[29],"exists":[30],"unique":[32],"pipedream":[33,69],"permutation":[36],"w":[37],"with":[38],"row":[39],"weight":[40,44],"rajcode(w)":[41],"column":[43],"rajcode(w-1).":[45],"proposed":[47],"problem":[49,61],"finding":[51],"\"direct":[53],"recipe\"":[54],"for":[55],"this":[56,60,68],"pipedream.":[57],"We":[58],"solve":[59],"by":[62],"providing":[63],"an":[64],"algorithm":[65],"that":[66],"constructs":[67],"via":[70],"ladder":[71],"moves.":[72]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
