{"id":"https://openalex.org/W2099945345","doi":"https://doi.org/10.1007/bf01303512","title":"The hypermetric cone is polyhedral","display_name":"The hypermetric cone is polyhedral","publication_year":1993,"publication_date":"1993-12-01","ids":{"openalex":"https://openalex.org/W2099945345","doi":"https://doi.org/10.1007/bf01303512","mag":"2099945345"},"language":"en","primary_location":{"id":"doi:10.1007/bf01303512","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01303512","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"Combinatorica","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/A5113871341","display_name":"Michel Deza","orcid":null},"institutions":[{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"M. Deza","raw_affiliation_strings":["Ecole Normale Sup\u00e9rieure, LIENS, 45 Rue d'Ulm, 75230, Paris cedex 05, France","Ecole Normale Sup\u00e9rieure, LIENS, Paris cedex 05, France"],"affiliations":[{"raw_affiliation_string":"Ecole Normale Sup\u00e9rieure, LIENS, 45 Rue d'Ulm, 75230, Paris cedex 05, France","institution_ids":["https://openalex.org/I29607241"]},{"raw_affiliation_string":"Ecole Normale Sup\u00e9rieure, LIENS, Paris cedex 05, France","institution_ids":["https://openalex.org/I29607241"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112062381","display_name":"Viacheslav Grishukhin","orcid":null},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"funder","lineage":["https://openalex.org/I1313323035"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"V. P. Grishukhin","raw_affiliation_strings":["CEMI, Academy of Sciences of Russia, Krasikova 32, 117418, Moscow, Russia","CEMI, Academy of Sciences of Russia, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"CEMI, Academy of Sciences of Russia, Krasikova 32, 117418, Moscow, Russia","institution_ids":["https://openalex.org/I1313323035"]},{"raw_affiliation_string":"CEMI, Academy of Sciences of Russia, Moscow, Russia","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047819350","display_name":"Monique Laurent","orcid":"https://orcid.org/0000-0001-8474-2121"},"institutions":[{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"M. Laurent","raw_affiliation_strings":["Ecole Normale Sup\u00e9rieure, LIENS, 45 Rue d'Ulm, 75230, Paris cedex 05, France","Ecole Normale Sup\u00e9rieure, LIENS, Paris cedex 05, France"],"affiliations":[{"raw_affiliation_string":"Ecole Normale Sup\u00e9rieure, LIENS, 45 Rue d'Ulm, 75230, Paris cedex 05, France","institution_ids":["https://openalex.org/I29607241"]},{"raw_affiliation_string":"Ecole Normale Sup\u00e9rieure, LIENS, Paris cedex 05, France","institution_ids":["https://openalex.org/I29607241"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5113871341"],"corresponding_institution_ids":["https://openalex.org/I29607241"],"apc_list":null,"apc_paid":null,"fwci":2.3411,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.87349823,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"13","issue":"4","first_page":"397","last_page":"411"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9993000030517578,"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":0.9984999895095825,"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":0.995199978351593,"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/mathematics","display_name":"Mathematics","score":0.8726257085800171},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.7225050330162048},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6906960010528564},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.6536165475845337},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.44673678278923035},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4383399784564972},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.08688095211982727}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8726257085800171},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.7225050330162048},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6906960010528564},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.6536165475845337},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.44673678278923035},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4383399784564972},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08688095211982727},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bf01303512","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01303512","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"Combinatorica","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.214.6855","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.214.6855","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.liga.ens.fr/~deza/tomyaccount/114hypconeispolyh.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322892","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W206270702","https://openalex.org/W1520127302","https://openalex.org/W1557027117","https://openalex.org/W1972441904","https://openalex.org/W1995990042","https://openalex.org/W2002643080","https://openalex.org/W2011376360","https://openalex.org/W2012292283","https://openalex.org/W2013294386","https://openalex.org/W2059742977","https://openalex.org/W2086049536","https://openalex.org/W2111977144","https://openalex.org/W2115502412","https://openalex.org/W2172262955","https://openalex.org/W2329336254","https://openalex.org/W2981118510","https://openalex.org/W4233220581","https://openalex.org/W4252892790","https://openalex.org/W4293259454","https://openalex.org/W6600379903"],"related_works":["https://openalex.org/W3005326639","https://openalex.org/W2984423448","https://openalex.org/W2949517603","https://openalex.org/W1760493461","https://openalex.org/W2793318464","https://openalex.org/W2051491955","https://openalex.org/W2600212144","https://openalex.org/W3100536503","https://openalex.org/W2081136173","https://openalex.org/W1815311630"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}