{"id":"https://openalex.org/W3010609504","doi":"https://doi.org/10.1137/18m1228529","title":"A Continuous Family of Marked Poset Polytopes","display_name":"A Continuous Family of Marked Poset Polytopes","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3010609504","doi":"https://doi.org/10.1137/18m1228529","mag":"3010609504"},"language":"en","primary_location":{"id":"doi:10.1137/18m1228529","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1228529","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on 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/A5044353292","display_name":"Xin Fang","orcid":"https://orcid.org/0000-0002-0056-7969"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xin Fang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042563129","display_name":"Ghislain Fourier","orcid":"https://orcid.org/0000-0002-5755-9556"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ghislain Fourier","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085521377","display_name":"Jan-Philipp Litza","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jan-Philipp Litza","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5061944245","display_name":"Christoph Pegel","orcid":"https://orcid.org/0000-0001-8078-1529"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Christoph Pegel","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-8078-1529","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.833,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.93694248,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"34","issue":"1","first_page":"611","last_page":"639"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9994999766349792,"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":0.9994999766349792,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9957000017166138,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9865000247955322,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.963294267654419},{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.9207733869552612},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8509794473648071},{"id":"https://openalex.org/keywords/hyperplane","display_name":"Hyperplane","score":0.8464440107345581},{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.8162050247192383},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.797069787979126},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5667961239814758},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5388222932815552},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48616525530815125},{"id":"https://openalex.org/keywords/subdivision","display_name":"Subdivision","score":0.44623899459838867},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.0724422037601471}],"concepts":[{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.963294267654419},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.9207733869552612},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8509794473648071},{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.8464440107345581},{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.8162050247192383},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.797069787979126},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5667961239814758},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5388222932815552},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48616525530815125},{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.44623899459838867},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0724422037601471},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"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:10.1137/18m1228529","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1228529","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on 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":15,"referenced_works":["https://openalex.org/W1654885123","https://openalex.org/W1909207196","https://openalex.org/W1979423085","https://openalex.org/W2083847906","https://openalex.org/W2085889797","https://openalex.org/W2166544109","https://openalex.org/W2257468122","https://openalex.org/W2421346766","https://openalex.org/W2529532083","https://openalex.org/W2962938456","https://openalex.org/W2963033765","https://openalex.org/W2963784276","https://openalex.org/W2963870779","https://openalex.org/W2964070873","https://openalex.org/W3100332834"],"related_works":["https://openalex.org/W2213934937","https://openalex.org/W3023661894","https://openalex.org/W3022636680","https://openalex.org/W4297887964","https://openalex.org/W2797568024","https://openalex.org/W2775592630","https://openalex.org/W3010609504","https://openalex.org/W4297613789","https://openalex.org/W2952440447","https://openalex.org/W4388555435"],"abstract_inverted_index":{"For":[0],"any":[1],"marked":[2,19,22,83],"poset":[3],"we":[4,29,85],"define":[5],"a":[6,13,72,76],"continuous":[7],"family":[8,41],"of":[9,18,34,42,48,61,64,71,90,93],"polytopes,":[10],"parametrized":[11],"by":[12],"hypercube,":[14],"generalizing":[15],"the":[16,32,35,49,54,58,65,69,82,91,94],"notions":[17],"order":[20],"and":[21],"chain":[23],"polytopes.":[24,44],"By":[25],"providing":[26],"transfer":[27],"maps,":[28],"show":[30],"that":[31],"vertices":[33,92],"hypercube":[36],"parametrize":[37],"an":[38,87],"Ehrhart":[39],"equivalent":[40],"lattice":[43],"The":[45],"combinatorial":[46],"type":[47],"polytopes":[50],"is":[51],"constant":[52],"when":[53],"parameters":[55],"vary":[56],"in":[57],"relative":[59],"interior":[60],"each":[62],"face":[63],"hypercube.":[66],"Moreover,":[67],"with":[68],"help":[70],"subdivision":[73],"arising":[74],"from":[75],"tropical":[77],"hyperplane":[78],"arrangement":[79],"associated":[80],"to":[81],"poset,":[84],"give":[86],"explicit":[88],"description":[89],"polytope":[95],"for":[96],"generic":[97],"parameters.":[98]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
