{"id":"https://openalex.org/W1980555038","doi":"https://doi.org/10.1007/s00454-007-1339-2","title":"Proof of the Katchalski-Lewis Transversal Conjecture for T(3)-Families of Congruent Discs","display_name":"Proof of the Katchalski-Lewis Transversal Conjecture for T(3)-Families of Congruent Discs","publication_year":2007,"publication_date":"2007-09-01","ids":{"openalex":"https://openalex.org/W1980555038","doi":"https://doi.org/10.1007/s00454-007-1339-2","mag":"1980555038"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-007-1339-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-007-1339-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-007-1339-2.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 &amp; 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/s00454-007-1339-2.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111741330","display_name":"A. Heppes","orcid":null},"institutions":[{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"funder","lineage":["https://openalex.org/I7597260"]},{"id":"https://openalex.org/I127817813","display_name":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"Aladar Heppes","raw_affiliation_strings":["Renyi Institute of Mathematics, Hungarian Academy  of Sciences, P.O. Box 127, H-1364 Budapest, Hungary","Renyi Institute of Mathematics, Hungarian Academy of Sciences, P.O. Box 127, H-1364 Budapest, Hungary"],"affiliations":[{"raw_affiliation_string":"Renyi Institute of Mathematics, Hungarian Academy  of Sciences, P.O. Box 127, H-1364 Budapest, Hungary","institution_ids":["https://openalex.org/I127817813","https://openalex.org/I7597260"]},{"raw_affiliation_string":"Renyi Institute of Mathematics, Hungarian Academy of Sciences, P.O. Box 127, H-1364 Budapest, Hungary","institution_ids":["https://openalex.org/I7597260"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111741330"],"corresponding_institution_ids":["https://openalex.org/I127817813","https://openalex.org/I7597260"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.9107,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.69588677,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"38","issue":"2","first_page":"289","last_page":"304"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9984999895095825,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9958999752998352,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.8776994347572327},{"id":"https://openalex.org/keywords/transversal","display_name":"Transversal (combinatorics)","score":0.8324605226516724},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.804114818572998},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7714871168136597},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7630709409713745},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.6075465083122253},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5356853008270264},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.4171903431415558},{"id":"https://openalex.org/keywords/existential-quantification","display_name":"Existential quantification","score":0.410489946603775},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3318858742713928},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10665324330329895},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07482248544692993},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.05491918325424194},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.05254754424095154}],"concepts":[{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.8776994347572327},{"id":"https://openalex.org/C2780130068","wikidata":"https://www.wikidata.org/wiki/Q2208651","display_name":"Transversal (combinatorics)","level":2,"score":0.8324605226516724},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.804114818572998},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7714871168136597},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7630709409713745},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6075465083122253},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5356853008270264},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.4171903431415558},{"id":"https://openalex.org/C136979486","wikidata":"https://www.wikidata.org/wiki/Q773483","display_name":"Existential quantification","level":2,"score":0.410489946603775},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3318858742713928},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10665324330329895},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07482248544692993},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.05491918325424194},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05254754424095154},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/s00454-007-1339-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-007-1339-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-007-1339-2.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 &amp; Computational Geometry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00454-007-1339-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-007-1339-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-007-1339-2.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 &amp; Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321994","display_name":"Hungarian Scientific Research Fund","ror":"https://ror.org/00v349e63"},{"id":"https://openalex.org/F4320326184","display_name":"Hungarian Science Foundation","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1980555038.pdf","grobid_xml":"https://content.openalex.org/works/W1980555038.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W170832643","https://openalex.org/W1977447061","https://openalex.org/W2021745162","https://openalex.org/W2038112877","https://openalex.org/W2052659414","https://openalex.org/W2072673780","https://openalex.org/W2086134853","https://openalex.org/W2094944812","https://openalex.org/W2401208489","https://openalex.org/W4248291440"],"related_works":["https://openalex.org/W2271112932","https://openalex.org/W2772332644","https://openalex.org/W2222693213","https://openalex.org/W2167396658","https://openalex.org/W2952258011","https://openalex.org/W2478481870","https://openalex.org/W3031681467","https://openalex.org/W297598734","https://openalex.org/W4301418551","https://openalex.org/W1978816527"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
