{"id":"https://openalex.org/W1994922472","doi":"https://doi.org/10.1007/s00791-009-0127-3","title":"Drawing polytopal graphs with polymake","display_name":"Drawing polytopal graphs with polymake","publication_year":2009,"publication_date":"2009-12-10","ids":{"openalex":"https://openalex.org/W1994922472","doi":"https://doi.org/10.1007/s00791-009-0127-3","mag":"1994922472"},"language":"en","primary_location":{"id":"doi:10.1007/s00791-009-0127-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00791-009-0127-3","pdf_url":null,"source":{"id":"https://openalex.org/S55464786","display_name":"Computing and Visualization in Science","issn_l":"1432-9360","issn":["1432-9360","1433-0369"],"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":"Computing and Visualization in Science","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/A5084398876","display_name":"Ewgenij Gawrilow","orcid":null},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Ewgenij Gawrilow","raw_affiliation_strings":["Institut f\u00fcr Mathematik MA 5-1, TU Berlin, 10623, Berlin, Germany","TU Berlin, Institut f\u00fcr Mathematik MA 5-1, 10623, Berlin, Germany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik MA 5-1, TU Berlin, 10623, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]},{"raw_affiliation_string":"TU Berlin, Institut f\u00fcr Mathematik MA 5-1, 10623, Berlin, Germany#TAB#","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035639170","display_name":"Michael Joswig","orcid":"https://orcid.org/0000-0002-4974-9659"},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technische Universit\u00e4t Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michael Joswig","raw_affiliation_strings":["Institut f\u00fcr Mathematik AG 7, TU Darmstadt, 64289, Darmstadt, Germany","TU Darmstadt, Institut f\u00fcr Mathematik AG 7, 64289, Darmstadt, Germany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik AG 7, TU Darmstadt, 64289, Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]},{"raw_affiliation_string":"TU Darmstadt, Institut f\u00fcr Mathematik AG 7, 64289, Darmstadt, Germany#TAB#","institution_ids":["https://openalex.org/I31512782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011905806","display_name":"Thilo R\u00f6rig","orcid":"https://orcid.org/0000-0001-9676-773X"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thilo R\u00f6rig","raw_affiliation_strings":["Institut f\u00fcr Mathematik MA 6-2, TU Berlin, 10623, Berlin, Germany","TU Berlin, Institut f\u00fcr Mathematik MA 6-2, 10623, Berlin, Germany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik MA 6-2, TU Berlin, 10623, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]},{"raw_affiliation_string":"TU Berlin, Institut f\u00fcr Mathematik MA 6-2, 10623, Berlin, Germany#TAB#","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081544870","display_name":"Nikolaus Witte","orcid":null},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Nikolaus Witte","raw_affiliation_strings":["Institut f\u00fcr Mathematik MA 6-2, TU Berlin, 10623, Berlin, Germany","TU Berlin, Institut f\u00fcr Mathematik MA 6-2, 10623, Berlin, Germany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik MA 6-2, TU Berlin, 10623, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]},{"raw_affiliation_string":"TU Berlin, Institut f\u00fcr Mathematik MA 6-2, 10623, Berlin, Germany#TAB#","institution_ids":["https://openalex.org/I4577782"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5084398876"],"corresponding_institution_ids":["https://openalex.org/I4577782"],"apc_list":{"value":2780,"currency":"USD","value_usd":2780},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.09515523,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"13","issue":"2","first_page":"99","last_page":"110"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10799","display_name":"Data Visualization and Analytics","score":0.9987000226974487,"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/T10799","display_name":"Data Visualization and Analytics","score":0.9987000226974487,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9945999979972839,"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/T11106","display_name":"Data Management and Algorithms","score":0.9721999764442444,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/polytope","display_name":"Polytope","score":0.7999298572540283},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6057803630828857},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5794724225997925},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5578328371047974},{"id":"https://openalex.org/keywords/realm","display_name":"Realm","score":0.5137251615524292},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.489684134721756},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4830206334590912},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.4730488359928131},{"id":"https://openalex.org/keywords/convex-polytope","display_name":"Convex polytope","score":0.42394310235977173},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3251938223838806},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1909363865852356},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.16777291893959045},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.1629842221736908},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.09712997078895569}],"concepts":[{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.7999298572540283},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6057803630828857},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5794724225997925},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5578328371047974},{"id":"https://openalex.org/C2778757428","wikidata":"https://www.wikidata.org/wiki/Q1250464","display_name":"Realm","level":2,"score":0.5137251615524292},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.489684134721756},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4830206334590912},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.4730488359928131},{"id":"https://openalex.org/C110943637","wikidata":"https://www.wikidata.org/wiki/Q4129097","display_name":"Convex polytope","level":5,"score":0.42394310235977173},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3251938223838806},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1909363865852356},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.16777291893959045},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.1629842221736908},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.09712997078895569},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00791-009-0127-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00791-009-0127-3","pdf_url":null,"source":{"id":"https://openalex.org/S55464786","display_name":"Computing and Visualization in Science","issn_l":"1432-9360","issn":["1432-9360","1433-0369"],"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":"Computing and Visualization in Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.315.8812","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.315.8812","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/0711.2397v1.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W43500862","https://openalex.org/W1493472025","https://openalex.org/W1534374921","https://openalex.org/W1597196612","https://openalex.org/W1600348603","https://openalex.org/W1602382617","https://openalex.org/W1602709408","https://openalex.org/W1608151808","https://openalex.org/W1637190327","https://openalex.org/W1975703263","https://openalex.org/W1985302945","https://openalex.org/W2042959539","https://openalex.org/W2055298722","https://openalex.org/W2061396714","https://openalex.org/W2082388593","https://openalex.org/W2086256358","https://openalex.org/W2144755471","https://openalex.org/W2167482691","https://openalex.org/W2233474732","https://openalex.org/W2499989309","https://openalex.org/W3037914599","https://openalex.org/W4206570602","https://openalex.org/W4320523390","https://openalex.org/W6805787914"],"related_works":["https://openalex.org/W4287022798","https://openalex.org/W2884061808","https://openalex.org/W2901329027","https://openalex.org/W1990911204","https://openalex.org/W2069107464","https://openalex.org/W2768257653","https://openalex.org/W2557288725","https://openalex.org/W3012067785","https://openalex.org/W4243575619","https://openalex.org/W1607687497"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
