{"id":"https://openalex.org/W4407231553","doi":"https://doi.org/10.1017/s0963548325000021","title":"Face enumeration for split matroid polytopes","display_name":"Face enumeration for split matroid polytopes","publication_year":2025,"publication_date":"2025-02-07","ids":{"openalex":"https://openalex.org/W4407231553","doi":"https://doi.org/10.1017/s0963548325000021"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548325000021","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548325000021","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/8AB800A4A0AAB1AEF4720C07899107AF/S0963548325000021a.pdf/div-class-title-face-enumeration-for-split-matroid-polytopes-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/8AB800A4A0AAB1AEF4720C07899107AF/S0963548325000021a.pdf/div-class-title-face-enumeration-for-split-matroid-polytopes-div.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062037243","display_name":"Luis Ferroni","orcid":"https://orcid.org/0000-0001-5181-7932"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Luis Ferroni","raw_affiliation_strings":["Institute for Advanced Study"],"raw_orcid":"https://orcid.org/0000-0001-5181-7932","affiliations":[{"raw_affiliation_string":"Institute for Advanced Study","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014525588","display_name":"Benjamin Schr\u00f6ter","orcid":"https://orcid.org/0000-0003-3153-5211"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Benjamin Schr\u00f6ter","raw_affiliation_strings":["KTH Royal Institute of Technology"],"raw_orcid":"https://orcid.org/0000-0003-3153-5211","affiliations":[{"raw_affiliation_string":"KTH Royal Institute of Technology","institution_ids":["https://openalex.org/I86987016"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5014525588"],"corresponding_institution_ids":["https://openalex.org/I86987016"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05371003,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"34","issue":"4","first_page":"528","last_page":"544"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9998000264167786,"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":0.9998000264167786,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9922000169754028,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/enumeration","display_name":"Enumeration","score":0.926088809967041},{"id":"https://openalex.org/keywords/matroid","display_name":"Matroid","score":0.8372372388839722},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.7805855870246887},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.696084201335907},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6008653044700623},{"id":"https://openalex.org/keywords/oriented-matroid","display_name":"Oriented matroid","score":0.594832181930542},{"id":"https://openalex.org/keywords/face","display_name":"Face (sociological concept)","score":0.5616461634635925},{"id":"https://openalex.org/keywords/graphic-matroid","display_name":"Graphic matroid","score":0.34728676080703735},{"id":"https://openalex.org/keywords/sociology","display_name":"Sociology","score":0.06457987427711487}],"concepts":[{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.926088809967041},{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.8372372388839722},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.7805855870246887},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.696084201335907},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6008653044700623},{"id":"https://openalex.org/C178621168","wikidata":"https://www.wikidata.org/wiki/Q16155113","display_name":"Oriented matroid","level":4,"score":0.594832181930542},{"id":"https://openalex.org/C2779304628","wikidata":"https://www.wikidata.org/wiki/Q3503480","display_name":"Face (sociological concept)","level":2,"score":0.5616461634635925},{"id":"https://openalex.org/C111034964","wikidata":"https://www.wikidata.org/wiki/Q5597156","display_name":"Graphic matroid","level":3,"score":0.34728676080703735},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.06457987427711487},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1017/s0963548325000021","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548325000021","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/8AB800A4A0AAB1AEF4720C07899107AF/S0963548325000021a.pdf/div-class-title-face-enumeration-for-split-matroid-polytopes-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},{"id":"pmh:oai:arpi.unipi.it:11568/1326660","is_oa":false,"landing_page_url":"https://hdl.handle.net/11568/1326660","pdf_url":null,"source":{"id":"https://openalex.org/S4377196265","display_name":"CINECA IRIS Institutial research information system (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"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":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1017/s0963548325000021","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548325000021","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/8AB800A4A0AAB1AEF4720C07899107AF/S0963548325000021a.pdf/div-class-title-face-enumeration-for-split-matroid-polytopes-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4407231553.pdf"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W771573594","https://openalex.org/W1535722101","https://openalex.org/W1931704346","https://openalex.org/W2011638021","https://openalex.org/W2028019666","https://openalex.org/W2033029553","https://openalex.org/W2035182273","https://openalex.org/W2101680308","https://openalex.org/W2110754991","https://openalex.org/W2115434582","https://openalex.org/W2134206798","https://openalex.org/W2137806147","https://openalex.org/W2159584454","https://openalex.org/W2196559987","https://openalex.org/W2506766425","https://openalex.org/W2728310095","https://openalex.org/W2788289283","https://openalex.org/W2794984779","https://openalex.org/W2962787998","https://openalex.org/W2962866089","https://openalex.org/W2963528914","https://openalex.org/W2963821413","https://openalex.org/W2964127965","https://openalex.org/W2964212414","https://openalex.org/W2969367319","https://openalex.org/W2996693817","https://openalex.org/W3009362834","https://openalex.org/W3014032716","https://openalex.org/W3039948875","https://openalex.org/W3094420973","https://openalex.org/W3101338581","https://openalex.org/W3105701979","https://openalex.org/W3137550346","https://openalex.org/W3174173303","https://openalex.org/W3185896300","https://openalex.org/W4212966376","https://openalex.org/W4220775035","https://openalex.org/W4226076376","https://openalex.org/W4306654042","https://openalex.org/W4311718390","https://openalex.org/W4387464525","https://openalex.org/W4390668258","https://openalex.org/W4402307817","https://openalex.org/W4402616208","https://openalex.org/W6638147128","https://openalex.org/W6740205569","https://openalex.org/W6750244742","https://openalex.org/W6779616986"],"related_works":["https://openalex.org/W2400862597","https://openalex.org/W2072414647","https://openalex.org/W2058489697","https://openalex.org/W1984819493","https://openalex.org/W2550106438","https://openalex.org/W2046319394","https://openalex.org/W1706059295","https://openalex.org/W2625145881","https://openalex.org/W2006784845","https://openalex.org/W4226057593"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"paper":[2],"initiates":[3],"the":[4,20,33,47,65,77],"explicit":[5],"study":[6],"of":[7,10,23,35,38,50,67,80,90],"face":[8,28,73],"numbers":[9,29],"matroid":[11,25],"polytopes":[12],"and":[13,41,84,100],"their":[14,27,95],"computation.":[15],"We":[16,53,75],"prove":[17],"that,":[18],"for":[19],"large":[21],"class":[22],"split":[24],"polytopes,":[26],"depend":[30],"solely":[31],"on":[32,46],"number":[34],"cyclic":[36,51],"flats":[37],"each":[39],"rank":[40,85],"size,":[42],"together":[43],"with":[44],"information":[45],"modular":[48],"pairs":[49],"flats.":[52],"provide":[54],"a":[55],"formula":[56],"which":[57,88],"allows":[58],"us":[59],"to":[60,94],"calculate":[61],"$f$":[62],"-vectors":[63],"without":[64],"need":[66],"taking":[68],"convex":[69],"hulls":[70],"or":[71],"computing":[72],"lattices.":[74],"discuss":[76],"particular":[78],"cases":[79],"sparse":[81],"paving":[82],"matroids":[83],"two":[86],"matroids,":[87],"are":[89],"independent":[91],"interest":[92],"due":[93],"appearances":[96],"in":[97],"other":[98],"combinatorial":[99],"geometric":[101],"settings.":[102]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
