{ "labelLang" : "hun", "responseDate" : "2024-03-29 11:52", "content" : { "otype" : "JournalArticle", "mtid" : 32273510, "status" : "VALIDATED", "published" : true, "comment" : "Cited By :5 \n Export Date: 7 September 2022 \n CODEN: JCBTA \n Correspondence Address: Soberón, P.; Baruch College, One Bernard Baruch Way, United States; email: pablo.soberon-bravo@baruch.cuny.edu", "unhandledTickets" : 0, "deleted" : false, "lastRefresh" : "2022-10-20T10:26:55.911+0000", "lastModified" : "2021-10-02T10:03:55.699+0000", "created" : "2021-10-02T10:03:55.262+0000", "creator" : { "otype" : "Admin", "mtid" : 10067876, "link" : "/api/admin/10067876", "label" : "MTMT API (MTMT API user, admin)", "familyName" : "MTMT", "givenName" : "API", "published" : true, "snippet" : true }, "lastDuplumSearch" : "2024-02-27T11:43:13.125+0000", "validated" : "2021-10-02T10:03:55.681+0000", "validator" : { "otype" : "Admin", "mtid" : 10067876, "link" : "/api/admin/10067876", "label" : "MTMT API (MTMT API user, admin)", "familyName" : "MTMT", "givenName" : "API", "published" : true, "snippet" : true }, "core" : false, "citation" : true, "publicationPending" : false, "type" : { "otype" : "PublicationType", "mtid" : 24, "link" : "/api/publicationtype/24", "label" : "Folyóiratcikk", "code" : 24, "otypeName" : "JournalArticle", "listPosition" : 1, "published" : true, "oldId" : 24, "snippet" : true }, "subType" : { "otype" : "SubType", "mtid" : 10000059, "link" : "/api/subtype/10000059", "label" : "Szakcikk (Folyóiratcikk)", "name" : "Szakcikk", "nameEng" : "Article", "docType" : { "otype" : "PublicationType", "mtid" : 24, "link" : "/api/publicationtype/24", "label" : "Folyóiratcikk", "code" : 24, "otypeName" : "JournalArticle", "listPosition" : 1, "published" : true, "oldId" : 24, "snippet" : true }, "listPosition" : 101, "published" : true, "oldId" : 10000059, "snippet" : true }, "category" : { "otype" : "Category", "mtid" : 1, "link" : "/api/category/1", "label" : "Tudományos", "published" : true, "oldId" : 1, "snippet" : true }, "languages" : [ { "otype" : "Language", "mtid" : 10002, "link" : "/api/language/10002", "label" : "Angol", "name" : "Angol", "nameEng" : "English", "published" : true, "oldId" : 2, "snippet" : true } ], "firstAuthor" : "Sarkar, Sherry", "authorships" : [ { "otype" : "PersonAuthorship", "mtid" : 97832515, "link" : "/api/authorship/97832515", "label" : "Sarkar, Sherry", "listPosition" : 1, "share" : 0.33333334, "first" : true, "last" : false, "corresponding" : false, "familyName" : "Sarkar", "givenName" : "Sherry", "authorTyped" : true, "editorTyped" : false, "otherTyped" : false, "type" : { "otype" : "AuthorshipType", "mtid" : 1, "link" : "/api/authorshiptype/1", "label" : "Szerző", "code" : 0, "published" : true, "oldId" : 0, "snippet" : true }, "published" : false, "snippet" : true }, { "otype" : "PersonAuthorship", "mtid" : 97832516, "link" : "/api/authorship/97832516", "label" : "Xue, Alexander", "listPosition" : 2, "share" : 0.33333334, "first" : false, "last" : false, "corresponding" : false, "familyName" : "Xue", "givenName" : "Alexander", "authorTyped" : true, "editorTyped" : false, "otherTyped" : false, "type" : { "otype" : "AuthorshipType", "mtid" : 1, "link" : "/api/authorshiptype/1", "label" : "Szerző", "code" : 0, "published" : true, "oldId" : 0, "snippet" : true }, "published" : false, "snippet" : true }, { "otype" : "PersonAuthorship", "mtid" : 97832517, "link" : "/api/authorship/97832517", "label" : "Soberon, Pablo ✉", "listPosition" : 3, "share" : 0.33333334, "first" : false, "last" : true, "corresponding" : true, "familyName" : "Soberon", "givenName" : "Pablo", "authorTyped" : true, "editorTyped" : false, "otherTyped" : false, "type" : { "otype" : "AuthorshipType", "mtid" : 1, "link" : "/api/authorshiptype/1", "label" : "Szerző", "code" : 0, "published" : true, "oldId" : 0, "snippet" : true }, "published" : false, "snippet" : true } ], "title" : "Quantitative combinatorial geometry for concave functions", "identifiers" : [ { "otype" : "PublicationIdentifier", "mtid" : 19491262, "link" : "/api/publicationidentifier/19491262", "label" : "DOI: 10.1016/j.jcta.2021.105465", "source" : { "otype" : "PlainSource", "mtid" : 6, "link" : "/api/publicationsource/6", "label" : "DOI", "type" : { "otype" : "PublicationSourceType", "mtid" : 10001, "link" : "/api/publicationsourcetype/10001", "label" : "DOI", "mayHaveOa" : true, "published" : true, "snippet" : true }, "name" : "DOI", "nameEng" : "DOI", "linkPattern" : "https://doi.org/@@@", "publiclyVisible" : true, "published" : true, "oldId" : 6, "snippet" : true }, "validState" : "IDENTICAL", "idValue" : "10.1016/j.jcta.2021.105465", "realUrl" : "https://doi.org/10.1016/j.jcta.2021.105465", "published" : false, "snippet" : true }, { "otype" : "PublicationIdentifier", "mtid" : 19491261, "link" : "/api/publicationidentifier/19491261", "label" : "WoS: 000654148800009", "source" : { "otype" : "PlainSource", "mtid" : 1, "link" : "/api/publicationsource/1", "label" : "WoS", "type" : { "otype" : "PublicationSourceType", "mtid" : 10003, "link" : "/api/publicationsourcetype/10003", "label" : "Indexelő adatbázis", "mayHaveOa" : false, "published" : true, "snippet" : true }, "name" : "WoS", "nameEng" : "WoS", "linkPattern" : "https://www.webofscience.com/wos/woscc/full-record/WOS:@@@", "publiclyVisible" : true, "published" : true, "oldId" : 1, "snippet" : true }, "validState" : "IDENTICAL", "idValue" : "000654148800009", "realUrl" : "https://www.webofscience.com/wos/woscc/full-record/WOS:000654148800009", "published" : false, "snippet" : true }, { "otype" : "PublicationIdentifier", "mtid" : 19491263, "link" : "/api/publicationidentifier/19491263", "label" : "Scopus: 85103975666", "source" : { "otype" : "PlainSource", "mtid" : 3, "link" : "/api/publicationsource/3", "label" : "Scopus", "type" : { "otype" : "PublicationSourceType", "mtid" : 10003, "link" : "/api/publicationsourcetype/10003", "label" : "Indexelő adatbázis", "mayHaveOa" : false, "published" : true, "snippet" : true }, "name" : "Scopus", "linkPattern" : "http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-@@@", "publiclyVisible" : true, "published" : true, "oldId" : 3, "snippet" : true }, "validState" : "IDENTICAL", "idValue" : "85103975666", "realUrl" : "http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85103975666", "published" : false, "snippet" : true } ], "journal" : { "otype" : "Journal", "mtid" : 2386, "link" : "/api/journal/2386", "label" : "JOURNAL OF COMBINATORIAL THEORY SERIES A 0097-3165 1096-0899", "pIssn" : "0097-3165", "eIssn" : "1096-0899", "reviewType" : "REVIEWED", "noIF" : false, "sciIndexed" : true, "scopusIndexed" : true, "lang" : "FOREIGN", "hungarian" : false, "published" : true, "oldId" : 2386, "snippet" : true }, "volume" : "182", "internalId" : "105465", "firstPageOrInternalIdForSort" : "105465", "pageLength" : 33, "publishedYear" : 2021, "abstractText" : "We prove several exact quantitative versions of Helly's and Tverberg's theorems, which guarantee that a finite family of convex sets in R-d has a large intersection. Our results characterize conditions that are sufficient for the intersection of a family of convex sets to contain a \"witness set\" which is large under some concave or log-concave measure. The possible witness sets include ellipsoids, zonotopes, and H-convex sets. Our results show that several new optimization problems can be solved with algorithms for LP-type problems. We obtain colorful and fractional variants of all our Helly-type theorems. (C) 2021 Elsevier Inc. All rights reserved.", "subjects" : [ { "otype" : "Classification", "mtid" : 10003, "link" : "/api/classification/10003", "label" : "Matematika", "published" : true, "snippet" : true } ], "keywords" : [ { "otype" : "Keyword", "mtid" : 1064221, "link" : "/api/keyword/1064221", "label" : "Helly's theorem", "published" : true, "oldId" : 1064221, "snippet" : true }, { "otype" : "Keyword", "mtid" : 1153910, "link" : "/api/keyword/1153910", "label" : "Convex bodies", "published" : true, "oldId" : 1153910, "snippet" : true }, { "otype" : "Keyword", "mtid" : 1174879, "link" : "/api/keyword/1174879", "label" : "ELLIPSOIDS", "published" : true, "oldId" : 1174879, "snippet" : true }, { "otype" : "Keyword", "mtid" : 1186254, "link" : "/api/keyword/1186254", "label" : "Minkowski sum", "published" : true, "oldId" : 1186254, "snippet" : true }, { "otype" : "Keyword", "mtid" : 1192756, "link" : "/api/keyword/1192756", "label" : "Tverberg's theorem", "published" : true, "oldId" : 1192756, "snippet" : true } ], "digital" : null, "printed" : null, "sourceYear" : 2021, "foreignEdition" : true, "foreignLanguage" : true, "fullPublication" : true, "conferencePublication" : false, "nationalOrigin" : null, "missingAuthor" : false, "oaType" : "NONE", "oaCheckDate" : "2022-10-20", "oaFree" : false, "citationCount" : 0, "citationCountUnpublished" : 0, "citationCountWoOther" : 0, "independentCitCountWoOther" : 0, "doiCitationCount" : 0, "wosCitationCount" : 0, "scopusCitationCount" : 0, "independentCitationCount" : 0, "unhandledCitationCount" : 0, "citingPubCount" : 0, "independentCitingPubCount" : 0, "unhandledCitingPubCount" : 0, "citedPubCount" : 6, "citedCount" : 6, "ratings" : [ { "otype" : "SjrRating", "mtid" : 11204529, "link" : "/api/sjrrating/11204529", "label" : "sjr:D1 (2021) Scopus - Computational Theory and Mathematics JOURNAL OF COMBINATORIAL THEORY SERIES A 0097-3165 1096-0899", "listPos" : 14, "rankValue" : 0.1, "type" : "journal", "ratingType" : { "otype" : "RatingType", "mtid" : 10002, "link" : "/api/ratingtype/10002", "label" : "sjr", "code" : "sjr", "published" : true, "snippet" : true }, "subject" : { "otype" : "ClassificationExternal", "mtid" : 1703, "link" : "/api/classificationexternal/1703", "label" : "Scopus - Computational Theory and Mathematics", "published" : true, "oldId" : 1703, "snippet" : true }, "ranking" : "D1", "calculation" : "DIRECT", "published" : true, "snippet" : true } ], "ratingsForSort" : "D1", "hasCitationDuplums" : false, "directInstitutesForSort" : "", "ownerAuthorCount" : 6, "ownerInstituteCount" : 18, "directInstituteCount" : 0, "authorCount" : 3, "contributorCount" : 0, "hasQualityFactor" : true, "link" : "/api/publication/32273510", "label" : "Sarkar Sherry et al. Quantitative combinatorial geometry for concave functions. (2021) JOURNAL OF COMBINATORIAL THEORY SERIES A 0097-3165 1096-0899 182", "template" : "