{"id":"https://openalex.org/W3043717872","doi":"https://doi.org/10.1007/s00454-020-00221-z","title":"Eliminating Depth Cycles Among Triangles in Three Dimensions","display_name":"Eliminating Depth Cycles Among Triangles in Three Dimensions","publication_year":2020,"publication_date":"2020-07-14","ids":{"openalex":"https://openalex.org/W3043717872","doi":"https://doi.org/10.1007/s00454-020-00221-z","mag":"3043717872"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-020-00221-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-020-00221-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-020-00221-z.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 & 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/s00454-020-00221-z.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042232059","display_name":"Boris Aronov","orcid":"https://orcid.org/0000-0003-3110-4702"},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Boris Aronov","raw_affiliation_strings":["Department of Computer Science and Engineering, Tandon School of Engineering, New York University, Brooklyn, NY, 11201, USA"],"raw_orcid":"https://orcid.org/0000-0003-3110-4702","affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Tandon School of Engineering, New York University, Brooklyn, NY, 11201, USA","institution_ids":["https://openalex.org/I57206974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110044546","display_name":"Edward Y. Miller","orcid":null},"institutions":[{"id":"https://openalex.org/I36672615","display_name":"Courant Institute of Mathematical Sciences","ror":"https://ror.org/037tm7f56","country_code":"US","type":"education","lineage":["https://openalex.org/I36672615","https://openalex.org/I57206974"]},{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Edward Y. Miller","raw_affiliation_strings":["Courant Institute of Mathematical Sciences, New York University, New York, NY, 10012, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Courant Institute of Mathematical Sciences, New York University, New York, NY, 10012, USA","institution_ids":["https://openalex.org/I36672615","https://openalex.org/I57206974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055296785","display_name":"Micha Sharir","orcid":"https://orcid.org/0000-0002-2541-3763"},"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":false,"raw_author_name":"Micha Sharir","raw_affiliation_strings":["Blavatnik School of Computer Science, Tel Aviv University, Tel Aviv, 69978, Israel"],"raw_orcid":"https://orcid.org/0000-0002-2541-3763","affiliations":[{"raw_affiliation_string":"Blavatnik School of Computer Science, Tel Aviv University, Tel Aviv, 69978, Israel","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5042232059"],"corresponding_institution_ids":["https://openalex.org/I57206974"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.7237,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.79044904,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"64","issue":"3","first_page":"627","last_page":"653"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":1.0,"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":1.0,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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":0.7410645484924316},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5963399410247803},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.5872918367385864},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5309485793113708},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5096843242645264},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5037631392478943},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4653549790382385},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.45347338914871216},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4240991473197937},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.42266660928726196},{"id":"https://openalex.org/keywords/algebraic-geometry","display_name":"Algebraic geometry","score":0.42231500148773193},{"id":"https://openalex.org/keywords/discrete-geometry","display_name":"Discrete geometry","score":0.41081470251083374},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3601125180721283},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23013043403625488},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1627703309059143}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7410645484924316},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5963399410247803},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.5872918367385864},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5309485793113708},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5096843242645264},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5037631392478943},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4653549790382385},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.45347338914871216},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4240991473197937},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.42266660928726196},{"id":"https://openalex.org/C68363185","wikidata":"https://www.wikidata.org/wiki/Q180969","display_name":"Algebraic geometry","level":2,"score":0.42231500148773193},{"id":"https://openalex.org/C4107886","wikidata":"https://www.wikidata.org/wiki/Q906377","display_name":"Discrete geometry","level":2,"score":0.41081470251083374},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3601125180721283},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23013043403625488},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1627703309059143},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00454-020-00221-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-020-00221-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-020-00221-z.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 & Computational Geometry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00454-020-00221-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-020-00221-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-020-00221-z.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 & Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":true},"content_urls":{"grobid_xml":"https://content.openalex.org/works/W3043717872.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W64656188","https://openalex.org/W209907261","https://openalex.org/W1493472025","https://openalex.org/W1498202005","https://openalex.org/W1512458023","https://openalex.org/W1518341038","https://openalex.org/W1570805656","https://openalex.org/W1983698126","https://openalex.org/W1985412388","https://openalex.org/W1990755899","https://openalex.org/W2010761427","https://openalex.org/W2028747718","https://openalex.org/W2062567923","https://openalex.org/W2101788557","https://openalex.org/W2120039945","https://openalex.org/W2123869145","https://openalex.org/W2149693294","https://openalex.org/W2149906774","https://openalex.org/W2154261411","https://openalex.org/W2158848706","https://openalex.org/W2171708854","https://openalex.org/W2485799025","https://openalex.org/W2751884597","https://openalex.org/W2906548559","https://openalex.org/W2945387729","https://openalex.org/W2952134317","https://openalex.org/W2962961582","https://openalex.org/W3103597139","https://openalex.org/W3107709063","https://openalex.org/W3138103828","https://openalex.org/W4251391716","https://openalex.org/W4253926061","https://openalex.org/W4299881295"],"related_works":["https://openalex.org/W1971174658","https://openalex.org/W2099195351","https://openalex.org/W4256429076","https://openalex.org/W2012063272","https://openalex.org/W2348092930","https://openalex.org/W2062850566","https://openalex.org/W4308716484","https://openalex.org/W3147417497","https://openalex.org/W2071552008","https://openalex.org/W4236564872"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}