{"id":"https://openalex.org/W1590636246","doi":"https://doi.org/10.1007/3-540-36478-1_11","title":"Reconstructing a Simple Polytope from Its Graph","display_name":"Reconstructing a Simple Polytope from Its Graph","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1590636246","doi":"https://doi.org/10.1007/3-540-36478-1_11","mag":"1590636246"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-36478-1_11","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-36478-1_11","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5062961656","display_name":"Volker Kaibel","orcid":"https://orcid.org/0000-0002-0388-7597"},"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":"Volker Kaibel","raw_affiliation_strings":["TU Berlin, MA 6-2 Stra\u00dfe des 17. Juni 136, 10623, Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"TU Berlin, MA 6-2 Stra\u00dfe des 17. Juni 136, 10623, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5062961656"],"corresponding_institution_ids":["https://openalex.org/I4577782"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.1898,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.7345679,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"105","last_page":"118"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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":0.9966999888420105,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9952999949455261,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.7498693466186523},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6617425084114075},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5574333667755127},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5475547909736633},{"id":"https://openalex.org/keywords/birkhoff-polytope","display_name":"Birkhoff polytope","score":0.46766960620880127},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.4672859311103821},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4646430015563965},{"id":"https://openalex.org/keywords/convex-polytope","display_name":"Convex polytope","score":0.45966705679893494},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3699699640274048},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3562043309211731},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32267898321151733},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.23208996653556824},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.22073671221733093},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.14131715893745422}],"concepts":[{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.7498693466186523},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6617425084114075},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5574333667755127},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5475547909736633},{"id":"https://openalex.org/C206304794","wikidata":"https://www.wikidata.org/wiki/Q4916482","display_name":"Birkhoff polytope","level":5,"score":0.46766960620880127},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.4672859311103821},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4646430015563965},{"id":"https://openalex.org/C110943637","wikidata":"https://www.wikidata.org/wiki/Q4129097","display_name":"Convex polytope","level":5,"score":0.45966705679893494},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3699699640274048},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3562043309211731},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32267898321151733},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.23208996653556824},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.22073671221733093},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.14131715893745422},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-36478-1_11","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-36478-1_11","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W94985437","https://openalex.org/W1490980830","https://openalex.org/W1525605957","https://openalex.org/W1544515183","https://openalex.org/W1597196612","https://openalex.org/W1982780895","https://openalex.org/W1985302945","https://openalex.org/W1996989230","https://openalex.org/W2010142885","https://openalex.org/W2011039300","https://openalex.org/W2050753006","https://openalex.org/W2074536752","https://openalex.org/W2088929609","https://openalex.org/W2093463532","https://openalex.org/W2123195153","https://openalex.org/W2169964297","https://openalex.org/W2317309498","https://openalex.org/W2327315803","https://openalex.org/W2949138260","https://openalex.org/W2953334598","https://openalex.org/W4206570602","https://openalex.org/W4210626175","https://openalex.org/W4231597948","https://openalex.org/W4233756358","https://openalex.org/W4254205555","https://openalex.org/W6764173464"],"related_works":["https://openalex.org/W2953076628","https://openalex.org/W2085110259","https://openalex.org/W2963837916","https://openalex.org/W2773485609","https://openalex.org/W1854884900","https://openalex.org/W2949863507","https://openalex.org/W3012067785","https://openalex.org/W2069107464","https://openalex.org/W4288417334","https://openalex.org/W4243575619"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}