{"id":"https://openalex.org/W1983194572","doi":"https://doi.org/10.1007/s00454-005-1187-x","title":"Grid Orientations, (d,d + 2)-Polytopes, and Arrangements of Pseudolines","display_name":"Grid Orientations, (d,d + 2)-Polytopes, and Arrangements of Pseudolines","publication_year":2005,"publication_date":"2005-08-02","ids":{"openalex":"https://openalex.org/W1983194572","doi":"https://doi.org/10.1007/s00454-005-1187-x","mag":"1983194572"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-005-1187-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-005-1187-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-005-1187-x.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","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s00454-005-1187-x.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005468020","display_name":"Stefan Felsner","orcid":"https://orcid.org/0000-0002-6150-1998"},"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":"Stefan Felsner","raw_affiliation_strings":["Institut fur Mathematik, Technische Universitat Berlin, D-10623 Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut fur Mathematik, Technische Universitat Berlin, D-10623 Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017124525","display_name":"Bernd G\u00e4rtner","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Bernd G\u00e4rtner","raw_affiliation_strings":["Institute of Theoretical Computer Science, ETH Zurich, CH-8092 Zurich, Switzerland","Institute of Theoretical Computer Science, ETH Z\u00fcrich, CH-8092 Z\u00fcrich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Theoretical Computer Science, ETH Zurich, CH-8092 Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"Institute of Theoretical Computer Science, ETH Z\u00fcrich, CH-8092 Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003689065","display_name":"Falk Tschirschnitz","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Falk Tschirschnitz","raw_affiliation_strings":["Institute of Theoretical Computer Science, ETH Zurich, CH-8092 Zurich, Switzerland","Institute of Theoretical Computer Science, ETH Z\u00fcrich, CH-8092 Z\u00fcrich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Theoretical Computer Science, ETH Zurich, CH-8092 Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"Institute of Theoretical Computer Science, ETH Z\u00fcrich, CH-8092 Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5003689065","https://openalex.org/A5005468020","https://openalex.org/A5017124525"],"corresponding_institution_ids":["https://openalex.org/I35440088","https://openalex.org/I4577782"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":1.5956,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.84927194,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"34","issue":"3","first_page":"411","last_page":"437"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9837999939918518,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9818999767303467,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/polytope","display_name":"Polytope","score":0.9388183355331421},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7656855583190918},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.7415115237236023},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7147890329360962},{"id":"https://openalex.org/keywords/orientation","display_name":"Orientation (vector space)","score":0.6262710094451904},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5794287323951721},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.561155378818512},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5535476803779602},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.5246463418006897},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4336746037006378},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.4120927155017853},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2717670202255249},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1519833207130432}],"concepts":[{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.9388183355331421},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7656855583190918},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.7415115237236023},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7147890329360962},{"id":"https://openalex.org/C16345878","wikidata":"https://www.wikidata.org/wiki/Q107472979","display_name":"Orientation (vector space)","level":2,"score":0.6262710094451904},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5794287323951721},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.561155378818512},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5535476803779602},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.5246463418006897},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4336746037006378},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.4120927155017853},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2717670202255249},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1519833207130432},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s00454-005-1187-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-005-1187-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-005-1187-x.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"},{"id":"pmh:oai:research-collection.ethz.ch:20.500.11850/31881","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11850/31881","pdf_url":null,"source":{"id":"https://openalex.org/S4306402302","display_name":"Repository for Publications and Research Data (ETH Zurich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I35440088","host_organization_name":"ETH Zurich","host_organization_lineage":["https://openalex.org/I35440088"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete & Computational Geometry, 34 (3)","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.112.4840","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.112.4840","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.inf.ethz.ch/personal/gaertner/texts/own_work/gopap.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.225.72","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.225.72","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.tu-berlin.de/%7Efelsner/Paper/gopap.pdf","raw_type":"text"},{"id":"pmh:oai:doc.rero.ch:314666","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400148","display_name":"reroDoc Digital Library","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"doi:10.3929/ethz-b-000031881","is_oa":true,"landing_page_url":"https://doi.org/10.3929/ethz-b-000031881","pdf_url":null,"source":{"id":"https://openalex.org/S7407051236","display_name":"ETH Z\u00fcrich Research Collection","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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1007/s00454-005-1187-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-005-1187-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-005-1187-x.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":[{"display_name":"Sustainable cities and communities","score":0.6399999856948853,"id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G5256785375","display_name":null,"funder_award_id":"200021-","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G6619118752","display_name":"Combinatorial Models for Geometric Optimization Problems","funder_award_id":"100316","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G993971353","display_name":null,"funder_award_id":"200021","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"}],"funders":[{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1983194572.pdf","grobid_xml":"https://content.openalex.org/works/W1983194572.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W47661094","https://openalex.org/W1592108567","https://openalex.org/W1631074503","https://openalex.org/W1966069213","https://openalex.org/W1969171285","https://openalex.org/W1985302945","https://openalex.org/W2021432330","https://openalex.org/W2022121413","https://openalex.org/W2023067115","https://openalex.org/W2035440108","https://openalex.org/W2047614799","https://openalex.org/W2066215968","https://openalex.org/W2070970096","https://openalex.org/W2073718607","https://openalex.org/W2074536752","https://openalex.org/W2079716694","https://openalex.org/W2079723511","https://openalex.org/W2088929609","https://openalex.org/W2090095275","https://openalex.org/W2114598978","https://openalex.org/W2129175815","https://openalex.org/W2158781971","https://openalex.org/W2498084162","https://openalex.org/W2951445120","https://openalex.org/W2971330320","https://openalex.org/W4244525603"],"related_works":["https://openalex.org/W2022959950","https://openalex.org/W4237245283","https://openalex.org/W4245033320","https://openalex.org/W2022052434","https://openalex.org/W2353774255","https://openalex.org/W2049995507","https://openalex.org/W2377498121","https://openalex.org/W1963963022","https://openalex.org/W2049945396","https://openalex.org/W1966150407"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}