{"id":"https://openalex.org/W2796581173","doi":"https://doi.org/10.1007/s00454-018-0006-0","title":"A Center Transversal Theorem for an Improved Rado Depth","display_name":"A Center Transversal Theorem for an Improved Rado Depth","publication_year":2018,"publication_date":"2018-05-15","ids":{"openalex":"https://openalex.org/W2796581173","doi":"https://doi.org/10.1007/s00454-018-0006-0","mag":"2796581173"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-018-0006-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-018-0006-0","pdf_url":null,"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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1606.08225","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062964615","display_name":"Pavle V. M. Blagojevi\u0107","orcid":"https://orcid.org/0000-0003-3649-9897"},"institutions":[{"id":"https://openalex.org/I4210113556","display_name":"Institut za savremenu istoriju","ror":"https://ror.org/01y6sx232","country_code":"RS","type":"facility","lineage":["https://openalex.org/I4210113556"]},{"id":"https://openalex.org/I4210125723","display_name":"Arheolo\u0161ki Institut","ror":"https://ror.org/03ajk1m02","country_code":"RS","type":"archive","lineage":["https://openalex.org/I4210125723"]},{"id":"https://openalex.org/I4390039372","display_name":"Mathematical Institute of the Serbian Academy of Sciences and Arts","ror":"https://ror.org/02jxk1021","country_code":null,"type":"education","lineage":["https://openalex.org/I1338511612","https://openalex.org/I4390039372"]},{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["DE","RS"],"is_corresponding":false,"raw_author_name":"Pavle V. M. Blagojevi\u0107","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Freie Universit\u00e4t Berlin, Arnimallee 2, 14195, Berlin, Germany","Matemati\u010dki Institut SANU, Knez Mihailova 36, 11000, Beograd, Serbia","Institut f\u00fcr Mathematik, Freie Universit\u00e4t Berlin, Berlin, Germany","Matemati\u010dki Institut SANU, Beograd, Serbia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Freie Universit\u00e4t Berlin, Arnimallee 2, 14195, Berlin, Germany","institution_ids":["https://openalex.org/I75951250"]},{"raw_affiliation_string":"Matemati\u010dki Institut SANU, Knez Mihailova 36, 11000, Beograd, Serbia","institution_ids":["https://openalex.org/I4210125723"]},{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Freie Universit\u00e4t Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I75951250"]},{"raw_affiliation_string":"Matemati\u010dki Institut SANU, Beograd, Serbia","institution_ids":["https://openalex.org/I4210113556","https://openalex.org/I4390039372"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042315605","display_name":"\u0420\u043e\u043c\u0430\u043d \u041a\u0430\u0440\u0430\u0441\u0435\u0432","orcid":"https://orcid.org/0000-0002-6695-3168"},"institutions":[{"id":"https://openalex.org/I153845743","display_name":"Moscow Institute of Physics and Technology","ror":"https://ror.org/00v0z9322","country_code":"RU","type":"education","lineage":["https://openalex.org/I153845743"]},{"id":"https://openalex.org/I4210107660","display_name":"Institute for Information Transmission Problems","ror":"https://ror.org/013w2d378","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210107660"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Roman Karasev","raw_affiliation_strings":["Institute for Information Transmission Problems RAS, Bolshoy Karetny per. 19, Moscow, Russia, 127994","Moscow Institute of Physics and Technology, Institutskiy per. 9, Dolgoprudny, Russia, 141700","Moscow Institute of Physics and Technology, Dolgoprudny, Russia","Institute for Information Transmission Problems RAS, Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Information Transmission Problems RAS, Bolshoy Karetny per. 19, Moscow, Russia, 127994","institution_ids":["https://openalex.org/I4210107660"]},{"raw_affiliation_string":"Moscow Institute of Physics and Technology, Institutskiy per. 9, Dolgoprudny, Russia, 141700","institution_ids":["https://openalex.org/I153845743"]},{"raw_affiliation_string":"Moscow Institute of Physics and Technology, Dolgoprudny, Russia","institution_ids":["https://openalex.org/I153845743"]},{"raw_affiliation_string":"Institute for Information Transmission Problems RAS, Moscow, Russia","institution_ids":["https://openalex.org/I4210107660"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087548226","display_name":"Alexander Magazinov","orcid":"https://orcid.org/0000-0002-9406-013X"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Alexander Magazinov","raw_affiliation_strings":["School of Mathematics, Tel Aviv University, 69978, Tel Aviv, Israel","School of Mathematics, Tel Aviv University, Tel Aviv, Israel"],"raw_orcid":"https://orcid.org/0000-0002-9406-013X","affiliations":[{"raw_affiliation_string":"School of Mathematics, Tel Aviv University, 69978, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"School of Mathematics, Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5087548226"],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.3462,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.51285447,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"60","issue":"2","first_page":"406","last_page":"419"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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":0.9966999888420105,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.7599382400512695},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7467219829559326},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7106939554214478},{"id":"https://openalex.org/keywords/transversal","display_name":"Transversal (combinatorics)","score":0.6641668677330017},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.6489205956459045},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.608466386795044},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.6022475361824036},{"id":"https://openalex.org/keywords/center","display_name":"Center (category theory)","score":0.5875431299209595},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.5076311826705933},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.5044084787368774},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.49024516344070435},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.47786635160446167},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2949789762496948},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21507582068443298},{"id":"https://openalex.org/keywords/crystallography","display_name":"Crystallography","score":0.07418659329414368}],"concepts":[{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.7599382400512695},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7467219829559326},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7106939554214478},{"id":"https://openalex.org/C2780130068","wikidata":"https://www.wikidata.org/wiki/Q2208651","display_name":"Transversal (combinatorics)","level":2,"score":0.6641668677330017},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.6489205956459045},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.608466386795044},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.6022475361824036},{"id":"https://openalex.org/C2779463800","wikidata":"https://www.wikidata.org/wiki/Q5062222","display_name":"Center (category theory)","level":2,"score":0.5875431299209595},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.5076311826705933},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5044084787368774},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.49024516344070435},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.47786635160446167},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2949789762496948},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21507582068443298},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.07418659329414368},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","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},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00454-018-0006-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-018-0006-0","pdf_url":null,"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:arXiv.org:1606.08225","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1606.08225","pdf_url":"https://arxiv.org/pdf/1606.08225","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1606.08225","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1606.08225","pdf_url":"https://arxiv.org/pdf/1606.08225","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W106288804","https://openalex.org/W357046174","https://openalex.org/W1606532457","https://openalex.org/W1607606134","https://openalex.org/W1967524134","https://openalex.org/W1980414131","https://openalex.org/W1997817602","https://openalex.org/W2047219167","https://openalex.org/W2049550828","https://openalex.org/W2066153158","https://openalex.org/W2093598270","https://openalex.org/W2152485984","https://openalex.org/W2163745621","https://openalex.org/W2295494294","https://openalex.org/W2320169182","https://openalex.org/W2400349515","https://openalex.org/W2561618607","https://openalex.org/W2578181793","https://openalex.org/W2592496685","https://openalex.org/W2765403333","https://openalex.org/W2898822161","https://openalex.org/W3039948875","https://openalex.org/W3106462241","https://openalex.org/W3106539039","https://openalex.org/W3114932062","https://openalex.org/W4239155088","https://openalex.org/W4248346960","https://openalex.org/W4295537069"],"related_works":["https://openalex.org/W3100286349","https://openalex.org/W2896134808","https://openalex.org/W4289378085","https://openalex.org/W4294291164","https://openalex.org/W3172436493","https://openalex.org/W1887135636","https://openalex.org/W4287164812","https://openalex.org/W2386063599","https://openalex.org/W1975884855","https://openalex.org/W3213150849"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2018-04-24T00:00:00"}
