{"id":"https://openalex.org/W1540677203","doi":"https://doi.org/10.1007/s00454-003-0795-6","title":"Sylvester?Gallai Theorem and Metric Betweenness","display_name":"Sylvester?Gallai Theorem and Metric Betweenness","publication_year":2004,"publication_date":"2004-02-01","ids":{"openalex":"https://openalex.org/W1540677203","doi":"https://doi.org/10.1007/s00454-003-0795-6","mag":"1540677203"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-003-0795-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-003-0795-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-003-0795-6.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 and 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/s00454-003-0795-6.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5114895670","display_name":"Vasek Chv\ufffdtal","orcid":null},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Vasek Chv\ufffdtal","raw_affiliation_strings":["Department of Computer Science,\n         Rutgers University, Piscataway, NJ 08854\n, USA","Department of Computer Science,Rutgers University,Piscataway,NJ 08854,USA)"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science,\n         Rutgers University, Piscataway, NJ 08854\n, USA","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"Department of Computer Science,Rutgers University,Piscataway,NJ 08854,USA)","institution_ids":["https://openalex.org/I102322142"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5114895670"],"corresponding_institution_ids":["https://openalex.org/I102322142"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.8294,"has_fulltext":true,"cited_by_count":46,"citation_normalized_percentile":{"value":0.67404877,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"31","issue":"2","first_page":"175","last_page":"195"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T12504","display_name":"Mathematics and Applications","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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":0.9958000183105469,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9937000274658203,"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":0.8026362061500549},{"id":"https://openalex.org/keywords/betweenness-centrality","display_name":"Betweenness centrality","score":0.589011013507843},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.579828679561615},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.563107430934906},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5561397075653076},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.54868483543396},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.5034839510917664},{"id":"https://openalex.org/keywords/real-line","display_name":"Real line","score":0.4699421525001526},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.4341391324996948},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.42041879892349243},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4183835983276367},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36413586139678955},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09433004260063171}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8026362061500549},{"id":"https://openalex.org/C117045392","wikidata":"https://www.wikidata.org/wiki/Q4899215","display_name":"Betweenness centrality","level":3,"score":0.589011013507843},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.579828679561615},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.563107430934906},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5561397075653076},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.54868483543396},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.5034839510917664},{"id":"https://openalex.org/C75432250","wikidata":"https://www.wikidata.org/wiki/Q29654355","display_name":"Real line","level":2,"score":0.4699421525001526},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.4341391324996948},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.42041879892349243},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4183835983276367},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36413586139678955},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09433004260063171},{"id":"https://openalex.org/C53811970","wikidata":"https://www.wikidata.org/wiki/Q5062194","display_name":"Centrality","level":2,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00454-003-0795-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-003-0795-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-003-0795-6.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 and Computational Geometry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00454-003-0795-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-003-0795-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-003-0795-6.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 and Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.49000000953674316,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1540677203.pdf","grobid_xml":"https://content.openalex.org/works/W1540677203.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W55098276","https://openalex.org/W59573364","https://openalex.org/W61392479","https://openalex.org/W248218665","https://openalex.org/W1483274556","https://openalex.org/W1494380125","https://openalex.org/W1586212627","https://openalex.org/W1598917891","https://openalex.org/W1734944212","https://openalex.org/W1975259197","https://openalex.org/W1996518248","https://openalex.org/W1998167411","https://openalex.org/W2024811275","https://openalex.org/W2026745357","https://openalex.org/W2028771266","https://openalex.org/W2033040247","https://openalex.org/W2056068999","https://openalex.org/W2058401132","https://openalex.org/W2074709558","https://openalex.org/W2089417871","https://openalex.org/W2091311638","https://openalex.org/W2095179081","https://openalex.org/W2134754301","https://openalex.org/W2158907148","https://openalex.org/W2166961358","https://openalex.org/W2316950332","https://openalex.org/W2914499195","https://openalex.org/W3026407818","https://openalex.org/W3141205388","https://openalex.org/W4210573031","https://openalex.org/W4212917665","https://openalex.org/W4236608516","https://openalex.org/W4237055776","https://openalex.org/W4240129194","https://openalex.org/W4240897641","https://openalex.org/W4248580472","https://openalex.org/W4251024812","https://openalex.org/W4299615030","https://openalex.org/W6819924498"],"related_works":["https://openalex.org/W2356738361","https://openalex.org/W1516497519","https://openalex.org/W2012724202","https://openalex.org/W3006871705","https://openalex.org/W4205555748","https://openalex.org/W2166456073","https://openalex.org/W2886295835","https://openalex.org/W2118175818","https://openalex.org/W1996361334","https://openalex.org/W3039387540"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}