{"id":"https://openalex.org/W2139948478","doi":"https://doi.org/10.1007/bf02579296","title":"Discrete hyperbolic geometry","display_name":"Discrete hyperbolic geometry","publication_year":1983,"publication_date":"1983-06-01","ids":{"openalex":"https://openalex.org/W2139948478","doi":"https://doi.org/10.1007/bf02579296","mag":"2139948478"},"language":"en","primary_location":{"id":"doi:10.1007/bf02579296","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02579296","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"Combinatorica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055137763","display_name":"Arnold Neumaier","orcid":"https://orcid.org/0000-0002-8328-9641"},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"A. Neumaier","raw_affiliation_strings":["Institut f\u00fcr Angew. Mathematik, Universit\u00e4t Freiburg, D-7800, Freiburg","Institut f\u00fcr Angew. Mathematik, Universit\u00e4t Freiburg, Freiburg"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Angew. Mathematik, Universit\u00e4t Freiburg, D-7800, Freiburg","institution_ids":["https://openalex.org/I161046081"]},{"raw_affiliation_string":"Institut f\u00fcr Angew. Mathematik, Universit\u00e4t Freiburg, Freiburg","institution_ids":["https://openalex.org/I161046081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113451433","display_name":"J.J. Seidel","orcid":null},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"J. J. Seidel","raw_affiliation_strings":["Department of Mathematics, University of Technology, Eindhoven, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Technology, Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5055137763"],"corresponding_institution_ids":["https://openalex.org/I161046081"],"apc_list":null,"apc_paid":null,"fwci":0.6989,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.79251225,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"3","issue":"2","first_page":"219","last_page":"237"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9995999932289124,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.996999979019165,"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":0.996999979019165,"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/unimodular-matrix","display_name":"Unimodular matrix","score":0.8798955082893372},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8531333208084106},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.6999748945236206},{"id":"https://openalex.org/keywords/hyperbolic-space","display_name":"Hyperbolic space","score":0.5732358694076538},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5346201062202454},{"id":"https://openalex.org/keywords/discrete-geometry","display_name":"Discrete geometry","score":0.5302875638008118},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5244370102882385},{"id":"https://openalex.org/keywords/hyperbolic-geometry","display_name":"Hyperbolic geometry","score":0.5072400569915771},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.48496055603027344},{"id":"https://openalex.org/keywords/lorentz-transformation","display_name":"Lorentz transformation","score":0.48468950390815735},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4700549840927124},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3313238322734833},{"id":"https://openalex.org/keywords/differential-geometry","display_name":"Differential geometry","score":0.17895394563674927}],"concepts":[{"id":"https://openalex.org/C201958917","wikidata":"https://www.wikidata.org/wiki/Q1367055","display_name":"Unimodular matrix","level":2,"score":0.8798955082893372},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8531333208084106},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.6999748945236206},{"id":"https://openalex.org/C83677898","wikidata":"https://www.wikidata.org/wiki/Q1878538","display_name":"Hyperbolic space","level":2,"score":0.5732358694076538},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5346201062202454},{"id":"https://openalex.org/C4107886","wikidata":"https://www.wikidata.org/wiki/Q906377","display_name":"Discrete geometry","level":2,"score":0.5302875638008118},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5244370102882385},{"id":"https://openalex.org/C206352148","wikidata":"https://www.wikidata.org/wiki/Q209306","display_name":"Hyperbolic geometry","level":3,"score":0.5072400569915771},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.48496055603027344},{"id":"https://openalex.org/C5667645","wikidata":"https://www.wikidata.org/wiki/Q217255","display_name":"Lorentz transformation","level":2,"score":0.48468950390815735},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4700549840927124},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3313238322734833},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.17895394563674927},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/bf02579296","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02579296","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"Combinatorica","raw_type":"journal-article"},{"id":"pmh:oai:pure.tue.nl:publications/05cb6b26-4b4e-4cf3-924c-de230030299d","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/05cb6b26-4b4e-4cf3-924c-de230030299d","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neumaier, A & Seidel, J J 1983, 'Discrete hyperbolic geometry', Combinatorica, vol. 3, no. 2, pp. 219-237. https://doi.org/10.1007/BF02579296","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:682123","is_oa":false,"landing_page_url":"http://library.tue.nl/csp/dare/LinkToRepository.csp?recordnumber=682123","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0209-9683","raw_type":"Article / Letter to the editor"},{"id":"pmh:oai:library.tue.nl:682123","is_oa":false,"landing_page_url":"http://repository.tue.nl/682123","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0209-9683","raw_type":"Article / Letter to the editor"},{"id":"pmh:tue:oai:pure.tue.nl:publications/05cb6b26-4b4e-4cf3-924c-de230030299d","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/05cb6b26-4b4e-4cf3-924c-de230030299d","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Combinatorica, 3(2), 219 - 237. Janos Bolyai Mathematical Society","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5600000023841858,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W337358633","https://openalex.org/W1528740882","https://openalex.org/W1554857812","https://openalex.org/W1587415125","https://openalex.org/W1599914714","https://openalex.org/W1969891477","https://openalex.org/W1976001798","https://openalex.org/W1996153770","https://openalex.org/W1998097214","https://openalex.org/W2001114217","https://openalex.org/W2027584441","https://openalex.org/W2028378109","https://openalex.org/W2031396300","https://openalex.org/W2036505414","https://openalex.org/W2037286809","https://openalex.org/W2048710921","https://openalex.org/W2064913340","https://openalex.org/W2066456540","https://openalex.org/W2066695739","https://openalex.org/W2074467912","https://openalex.org/W2075938075","https://openalex.org/W2079565519","https://openalex.org/W2084092789","https://openalex.org/W2087113337","https://openalex.org/W2096463700","https://openalex.org/W2104795888","https://openalex.org/W2137943531","https://openalex.org/W2161466590","https://openalex.org/W2318363093","https://openalex.org/W2327138680","https://openalex.org/W4206200681","https://openalex.org/W4210742814","https://openalex.org/W4240112774","https://openalex.org/W4242317448","https://openalex.org/W4245135069","https://openalex.org/W4251292375","https://openalex.org/W4255317205"],"related_works":["https://openalex.org/W2106320975","https://openalex.org/W2273260600","https://openalex.org/W4376654484","https://openalex.org/W2604486591","https://openalex.org/W2023081456","https://openalex.org/W2094418681","https://openalex.org/W2596357324","https://openalex.org/W2094950858","https://openalex.org/W609517099","https://openalex.org/W4246014943"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
