{"id":"https://openalex.org/W1968034334","doi":"https://doi.org/10.1007/bf02187736","title":"Embeddings of graphs in euclidean spaces","display_name":"Embeddings of graphs in euclidean spaces","publication_year":1989,"publication_date":"1989-08-01","ids":{"openalex":"https://openalex.org/W1968034334","doi":"https://doi.org/10.1007/bf02187736","mag":"1968034334"},"language":"en","primary_location":{"id":"doi:10.1007/bf02187736","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf02187736","pdf_url":"https://link.springer.com/content/pdf/10.1007/BF02187736.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/BF02187736.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064827689","display_name":"Jan Reiterman","orcid":null},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]},{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"J. Reiterman","raw_affiliation_strings":["Department of Mathematics FJFI, Technical University of Prague, Husova 5, 110 00, Prague 1, Czechoslovakia","Department of Mathematics FJFI, Technical University of Prague, Prague 1, Czechoslovakia 110 00#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics FJFI, Technical University of Prague, Husova 5, 110 00, Prague 1, Czechoslovakia","institution_ids":["https://openalex.org/I44504214"]},{"raw_affiliation_string":"Department of Mathematics FJFI, Technical University of Prague, Prague 1, Czechoslovakia 110 00#TAB#","institution_ids":["https://openalex.org/I21250087"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109115706","display_name":"V. R\u00f6dl","orcid":null},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]},{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"V. R\u00f6dl","raw_affiliation_strings":["Department of Mathematics FJFI, Technical University of Prague, Husova 5, 110 00, Prague 1, Czechoslovakia","Department of Mathematics FJFI, Technical University of Prague, Prague 1, Czechoslovakia 110 00#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics FJFI, Technical University of Prague, Husova 5, 110 00, Prague 1, Czechoslovakia","institution_ids":["https://openalex.org/I44504214"]},{"raw_affiliation_string":"Department of Mathematics FJFI, Technical University of Prague, Prague 1, Czechoslovakia 110 00#TAB#","institution_ids":["https://openalex.org/I21250087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111870191","display_name":"Edita \u0160i\u0148ajov\u00e1","orcid":null},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]},{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"E. \u0160i\u0148ajov\u00e1","raw_affiliation_strings":["Department of Mathematics FJFI, Technical University of Prague, Husova 5, 110 00, Prague 1, Czechoslovakia","Department of Mathematics FJFI, Technical University of Prague, Prague 1, Czechoslovakia 110 00#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics FJFI, Technical University of Prague, Husova 5, 110 00, Prague 1, Czechoslovakia","institution_ids":["https://openalex.org/I44504214"]},{"raw_affiliation_string":"Department of Mathematics FJFI, Technical University of Prague, Prague 1, Czechoslovakia 110 00#TAB#","institution_ids":["https://openalex.org/I21250087"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5064827689"],"corresponding_institution_ids":["https://openalex.org/I21250087","https://openalex.org/I44504214"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.9524,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.7210933,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"4","issue":"4","first_page":"349","last_page":"364"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/combinatorics","display_name":"Combinatorics","score":0.8882868885993958},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7611351013183594},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6370649337768555},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.5694886445999146},{"id":"https://openalex.org/keywords/unit-sphere","display_name":"Unit sphere","score":0.48496007919311523},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.45290690660476685},{"id":"https://openalex.org/keywords/unit","display_name":"Unit (ring theory)","score":0.43069538474082947},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.42530521750450134},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1342775523662567},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06824490427970886}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8882868885993958},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7611351013183594},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6370649337768555},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.5694886445999146},{"id":"https://openalex.org/C191948623","wikidata":"https://www.wikidata.org/wiki/Q1307800","display_name":"Unit sphere","level":2,"score":0.48496007919311523},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.45290690660476685},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.43069538474082947},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.42530521750450134},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1342775523662567},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06824490427970886},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02187736","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf02187736","pdf_url":"https://link.springer.com/content/pdf/10.1007/BF02187736.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/bf02187736","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf02187736","pdf_url":"https://link.springer.com/content/pdf/10.1007/BF02187736.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":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1968034334.pdf","grobid_xml":"https://content.openalex.org/works/W1968034334.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1484040084","https://openalex.org/W2019029270","https://openalex.org/W2027584441","https://openalex.org/W2049051007","https://openalex.org/W2062083887","https://openalex.org/W2073694981","https://openalex.org/W2314893179"],"related_works":["https://openalex.org/W1654151311","https://openalex.org/W2549643127","https://openalex.org/W2382566571","https://openalex.org/W4250452970","https://openalex.org/W2349321798","https://openalex.org/W2366686860","https://openalex.org/W2350859087","https://openalex.org/W4383000020","https://openalex.org/W1573143185","https://openalex.org/W2963495964"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}