{"id":"https://openalex.org/W4412450011","doi":"https://doi.org/10.5070/c65265407","title":"A realization of poset associahedra","display_name":"A realization of poset associahedra","publication_year":2025,"publication_date":"2025-07-15","ids":{"openalex":"https://openalex.org/W4412450011","doi":"https://doi.org/10.5070/c65265407"},"language":"en","primary_location":{"id":"doi:10.5070/c65265407","is_oa":true,"landing_page_url":"https://doi.org/10.5070/c65265407","pdf_url":"https://escholarship.org/content/qt82p5w9vn/qt82p5w9vn.pdf","source":{"id":"https://openalex.org/S4210174179","display_name":"Combinatorial Theory","issn_l":"2766-1334","issn":["2766-1334"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorial Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://escholarship.org/content/qt82p5w9vn/qt82p5w9vn.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019961361","display_name":"Andrew Sack","orcid":"https://orcid.org/0009-0000-8858-5602"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Andrew Sack","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5019961361"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18715066,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"5","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13412","display_name":"Education and Technology Integration","score":0.15240000188350677,"subfield":{"id":"https://openalex.org/subfields/3304","display_name":"Education"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T13412","display_name":"Education and Technology Integration","score":0.15240000188350677,"subfield":{"id":"https://openalex.org/subfields/3304","display_name":"Education"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T13912","display_name":"Language, Linguistics, Cultural Analysis","score":0.13899999856948853,"subfield":{"id":"https://openalex.org/subfields/1203","display_name":"Language and Linguistics"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.7991253137588501},{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.6618882417678833},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4123697876930237},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2574172616004944},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22957637906074524},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.05235514044761658}],"concepts":[{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.7991253137588501},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.6618882417678833},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4123697876930237},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2574172616004944},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22957637906074524},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.05235514044761658}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.5070/c65265407","is_oa":true,"landing_page_url":"https://doi.org/10.5070/c65265407","pdf_url":"https://escholarship.org/content/qt82p5w9vn/qt82p5w9vn.pdf","source":{"id":"https://openalex.org/S4210174179","display_name":"Combinatorial Theory","issn_l":"2766-1334","issn":["2766-1334"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorial Theory","raw_type":"journal-article"},{"id":"pmh:doi:10.5070/C65265407","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S7407050878","display_name":"California Digital Library","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text/journal article"},{"id":"pmh:oai:escholarship.org:ark:/13030/qt82p5w9vn","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/82p5w9vn","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Combinatorial Theory, vol 5, iss 2","raw_type":"article"}],"best_oa_location":{"id":"doi:10.5070/c65265407","is_oa":true,"landing_page_url":"https://doi.org/10.5070/c65265407","pdf_url":"https://escholarship.org/content/qt82p5w9vn/qt82p5w9vn.pdf","source":{"id":"https://openalex.org/S4210174179","display_name":"Combinatorial Theory","issn_l":"2766-1334","issn":["2766-1334"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorial Theory","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2079683759","display_name":null,"funder_award_id":"DGE-203483","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2281793133","display_name":null,"funder_award_id":"GE-2034835","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3336518514","display_name":null,"funder_award_id":"DGE-2034835","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G441755652","display_name":null,"funder_award_id":"2034835","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4557732361","display_name":null,"funder_award_id":"DGE-20348","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5815543280","display_name":null,"funder_award_id":"1954121","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6466467915","display_name":null,"funder_award_id":"DMS-2046915","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6769332157","display_name":null,"funder_award_id":"DMS-1954121","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8626073397","display_name":null,"funder_award_id":"2046915","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4412450011.pdf","grobid_xml":"https://content.openalex.org/works/W4412450011.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2106070061","https://openalex.org/W4390961156","https://openalex.org/W4394660572","https://openalex.org/W1489559156","https://openalex.org/W4312224320","https://openalex.org/W1963087247","https://openalex.org/W2347443236"],"abstract_inverted_index":{"Given":[0],"any":[1],"connected":[2],"poset":[3,54],"\\(P\\),":[4],"we":[5,46],"provide":[6,47],"a":[7,16,33],"simple":[8],"realization":[9,23,50],"of":[10,29,35,39],"Galashin's":[11,52],"\\(P\\)-associahedron":[12],"\\(\\mathscr":[13,30],"A(P)\\)":[14,31],"as":[15,32],"convex":[17],"polytope":[18],"in":[19],"\\(\\mathbb":[20],"R^P.\\)":[21],"This":[22],"is":[24],"inspired":[25],"by":[26],"the":[27,36],"description":[28],"compactification":[34,66],"configuration":[37,64],"space":[38],"order-preserving":[40],"maps":[41],"\\(P":[42],"\\to":[43],"\\mathbb{R}.\\)":[44],"Additionally,":[45],"an":[48],"analogous":[49],"for":[51],"affine":[53],"cyclohedra.Mathematics":[55],"Subject":[56],"Classifications:":[57],"52B11,":[58],"06A07Keywords:":[59],"Poset,":[60],"associahedron,":[61],"cyclohedron,":[62],"realization,":[63],"space,":[65]},"counts_by_year":[],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}