{"id":"https://openalex.org/W2155851113","doi":"https://doi.org/10.1007/pl00009499","title":"Cutting Polytopes and Flag f-Vectors","display_name":"Cutting Polytopes and Flag f-Vectors","publication_year":2000,"publication_date":"2000-02-01","ids":{"openalex":"https://openalex.org/W2155851113","doi":"https://doi.org/10.1007/pl00009499","mag":"2155851113"},"language":"en","primary_location":{"id":"doi:10.1007/pl00009499","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00009499","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00009499.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/PL00009499.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070448622","display_name":"Richard Ehrenborg","orcid":"https://orcid.org/0000-0001-5854-3890"},"institutions":[{"id":"https://openalex.org/I40036882","display_name":"Institute for Advanced Study","ror":"https://ror.org/00f809463","country_code":"US","type":"facility","lineage":["https://openalex.org/I40036882"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"R. Ehrenborg","raw_affiliation_strings":["School of Mathematics, Institute for Advanced Study,   Olden Lane, Princeton, NJ 08540, USA  jrge@math.ias.edu, readdy@math.ias.edu \n, , , , , , US","School of Mathematics, Institute for Advanced Study, Olden Lane, Princeton, NJ 08540, USA"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Institute for Advanced Study,   Olden Lane, Princeton, NJ 08540, USA  jrge@math.ias.edu, readdy@math.ias.edu \n, , , , , , US","institution_ids":["https://openalex.org/I40036882"]},{"raw_affiliation_string":"School of Mathematics, Institute for Advanced Study, Olden Lane, Princeton, NJ 08540, USA","institution_ids":["https://openalex.org/I40036882"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103053298","display_name":"Daniel Johnston","orcid":"https://orcid.org/0000-0002-8321-501X"},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D. Johnston","raw_affiliation_strings":["Department of Mathematics,   Washington University in St. Louis,   St. Louis, MO 63130-4899, USA   dbjohnst@artsci.wustl.edu \n, , , , , , US","Department of Mathematics, Washington University in St. Louis, St. Louis, MO 63130-4899, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics,   Washington University in St. Louis,   St. Louis, MO 63130-4899, USA   dbjohnst@artsci.wustl.edu \n, , , , , , US","institution_ids":["https://openalex.org/I204465549"]},{"raw_affiliation_string":"Department of Mathematics, Washington University in St. Louis, St. Louis, MO 63130-4899, USA","institution_ids":["https://openalex.org/I204465549"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112712403","display_name":"R. Rajagopalan","orcid":null},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. Rajagopalan","raw_affiliation_strings":["Department of Mathematics,   Malott Hall, Cornell University,    Ithaca, NY 14853-4201, USA   mohan@math.cornell.edu, , , , , , US","Malott Hall, Cornell University, Ithaca, NY 14853-4201, USA","Department of Mathematics,"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics,   Malott Hall, Cornell University,    Ithaca, NY 14853-4201, USA   mohan@math.cornell.edu, , , , , , US","institution_ids":["https://openalex.org/I205783295"]},{"raw_affiliation_string":"Malott Hall, Cornell University, Ithaca, NY 14853-4201, USA","institution_ids":["https://openalex.org/I205783295"]},{"raw_affiliation_string":"Department of Mathematics,","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091489840","display_name":"Margaret Readdy","orcid":"https://orcid.org/0000-0002-3648-0865"},"institutions":[{"id":"https://openalex.org/I40036882","display_name":"Institute for Advanced Study","ror":"https://ror.org/00f809463","country_code":"US","type":"facility","lineage":["https://openalex.org/I40036882"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M. Readdy","raw_affiliation_strings":["School of Mathematics, Institute for Advanced Study,   Olden Lane, Princeton, NJ 08540, USA  jrge@math.ias.edu, readdy@math.ias.edu \n, , , , , , US","School of Mathematics, Institute for Advanced Study, Olden Lane, Princeton, NJ 08540, USA"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Institute for Advanced Study,   Olden Lane, Princeton, NJ 08540, USA  jrge@math.ias.edu, readdy@math.ias.edu \n, , , , , , US","institution_ids":["https://openalex.org/I40036882"]},{"raw_affiliation_string":"School of Mathematics, Institute for Advanced Study, Olden Lane, Princeton, NJ 08540, USA","institution_ids":["https://openalex.org/I40036882"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5070448622"],"corresponding_institution_ids":["https://openalex.org/I40036882"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.6567,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.89806129,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"23","issue":"2","first_page":"261","last_page":"271"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9955000281333923,"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":0.994700014591217,"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":0.935711145401001},{"id":"https://openalex.org/keywords/flag","display_name":"Flag (linear algebra)","score":0.9295258522033691},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8023172616958618},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7889219522476196},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5591567754745483},{"id":"https://openalex.org/keywords/face","display_name":"Face (sociological concept)","score":0.5301889777183533},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.19395911693572998},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17635223269462585}],"concepts":[{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.935711145401001},{"id":"https://openalex.org/C2776730729","wikidata":"https://www.wikidata.org/wiki/Q1392130","display_name":"Flag (linear algebra)","level":3,"score":0.9295258522033691},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8023172616958618},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7889219522476196},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5591567754745483},{"id":"https://openalex.org/C2779304628","wikidata":"https://www.wikidata.org/wiki/Q3503480","display_name":"Face (sociological concept)","level":2,"score":0.5301889777183533},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.19395911693572998},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17635223269462585},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/pl00009499","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00009499","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00009499.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.8.5795","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.8.5795","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ms.uky.edu/~jrge/Papers/Cutting.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1007/pl00009499","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00009499","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00009499.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","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":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2155851113.pdf","grobid_xml":"https://content.openalex.org/works/W2155851113.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W569838548","https://openalex.org/W1517150618","https://openalex.org/W1584718768","https://openalex.org/W1974785645","https://openalex.org/W1990911204","https://openalex.org/W2054009182","https://openalex.org/W2109780436","https://openalex.org/W2155851113","https://openalex.org/W2334336952","https://openalex.org/W4300302225"],"related_works":["https://openalex.org/W2324035390","https://openalex.org/W2695311495","https://openalex.org/W3175137310","https://openalex.org/W3034984450","https://openalex.org/W1895129854","https://openalex.org/W146973812","https://openalex.org/W2209303598","https://openalex.org/W4210929581","https://openalex.org/W2260116198","https://openalex.org/W2231593330"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
