{"id":"https://openalex.org/W2150961023","doi":"https://doi.org/10.1016/0925-7721(95)00049-6","title":"Analysis of backtrack algorithms for listing all vertices and all faces of a convex polyhedron","display_name":"Analysis of backtrack algorithms for listing all vertices and all faces of a convex polyhedron","publication_year":1997,"publication_date":"1997-06-01","ids":{"openalex":"https://openalex.org/W2150961023","doi":"https://doi.org/10.1016/0925-7721(95)00049-6","mag":"2150961023"},"language":"en","primary_location":{"id":"doi:10.1016/0925-7721(95)00049-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0925-7721(95)00049-6","pdf_url":null,"source":{"id":"https://openalex.org/S165542689","display_name":"Computational Geometry","issn_l":"0925-7721","issn":["0925-7721","1879-081X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Geometry","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/A5105530217","display_name":"Komei Fukuda","orcid":null},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Komei Fukuda","raw_affiliation_strings":["Institute for Operations Research, Swiss Federal Institute of Technology, CH-8092 Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Institute for Operations Research, Swiss Federal Institute of Technology, CH-8092 Zurich, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110174665","display_name":"Thomas M. Liebling","orcid":null},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Thomas M. Liebling","raw_affiliation_strings":["Department of Mathematics, Swiss Federal Institute of Technology, CH-1015 Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Swiss Federal Institute of Technology, CH-1015 Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112617624","display_name":"Fran\u00e7ois Margot","orcid":null},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Fran\u00e7ois Margot","raw_affiliation_strings":["Department of Mathematics, Swiss Federal Institute of Technology, CH-1015 Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Swiss Federal Institute of Technology, CH-1015 Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5105530217"],"corresponding_institution_ids":["https://openalex.org/I5124864"],"apc_list":{"value":2180,"currency":"USD","value_usd":2180},"apc_paid":null,"fwci":3.6127,"has_fulltext":false,"cited_by_count":88,"citation_normalized_percentile":{"value":0.93388954,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"8","issue":"1","first_page":"1","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9994000196456909,"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":0.9994000196456909,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9991999864578247,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9972000122070312,"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/polyhedron","display_name":"Polyhedron","score":0.8015164136886597},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.7210681438446045},{"id":"https://openalex.org/keywords/enumeration","display_name":"Enumeration","score":0.6571532487869263},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5326558947563171},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5106959939002991},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5066552758216858},{"id":"https://openalex.org/keywords/hyperplane","display_name":"Hyperplane","score":0.495414137840271},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4842390716075897},{"id":"https://openalex.org/keywords/convex-polytope","display_name":"Convex polytope","score":0.4563300311565399},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4271197021007538},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4074416160583496},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.2006310522556305},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.15575167536735535},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.1551908254623413}],"concepts":[{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.8015164136886597},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.7210681438446045},{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.6571532487869263},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5326558947563171},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5106959939002991},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5066552758216858},{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.495414137840271},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4842390716075897},{"id":"https://openalex.org/C110943637","wikidata":"https://www.wikidata.org/wiki/Q4129097","display_name":"Convex polytope","level":5,"score":0.4563300311565399},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4271197021007538},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4074416160583496},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.2006310522556305},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.15575167536735535},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.1551908254623413},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1016/0925-7721(95)00049-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0925-7721(95)00049-6","pdf_url":null,"source":{"id":"https://openalex.org/S165542689","display_name":"Computational Geometry","issn_l":"0925-7721","issn":["0925-7721","1879-081X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Geometry","raw_type":"journal-article"},{"id":"pmh:oai:repository.cmu.edu:tepper-1279","is_oa":false,"landing_page_url":"http://repository.cmu.edu/tepper/271","pdf_url":null,"source":{"id":"https://openalex.org/S4306400668","display_name":"Research Showcase @ Carnegie Mellon University (Carnegie Mellon University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I74973139","host_organization_name":"Carnegie Mellon University","host_organization_lineage":["https://openalex.org/I74973139"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Tepper School of Business","raw_type":"text"},{"id":"pmh:oai:infoscience.epfl.ch:77173","is_oa":false,"landing_page_url":"http://infoscience.epfl.ch/record/77173","pdf_url":null,"source":{"id":"https://openalex.org/S4306400488","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","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":"","raw_type":"Text"},{"id":"pmh:oai:infoscience.epfl.ch:77269","is_oa":false,"landing_page_url":"http://infoscience.epfl.ch/record/77269","pdf_url":null,"source":{"id":"https://openalex.org/S4306400488","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","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":"","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.47999998927116394}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1579678295","https://openalex.org/W1963547452","https://openalex.org/W1968143987","https://openalex.org/W1974151163","https://openalex.org/W1983281982","https://openalex.org/W1991287453","https://openalex.org/W2011039300","https://openalex.org/W2011562113","https://openalex.org/W2022266599","https://openalex.org/W2030996579","https://openalex.org/W2032345707","https://openalex.org/W2038646777","https://openalex.org/W2061344951","https://openalex.org/W2071094669","https://openalex.org/W2087904554","https://openalex.org/W2115826669","https://openalex.org/W2492353954","https://openalex.org/W2595833503","https://openalex.org/W4233558979","https://openalex.org/W4234356172","https://openalex.org/W4300640952","https://openalex.org/W6665838786","https://openalex.org/W6723406818"],"related_works":["https://openalex.org/W4248823117","https://openalex.org/W2334849780","https://openalex.org/W2004058166","https://openalex.org/W2030718493","https://openalex.org/W2018708907","https://openalex.org/W2103429114","https://openalex.org/W2005538657","https://openalex.org/W2088151573","https://openalex.org/W2004897847","https://openalex.org/W2469464399"],"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":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":7}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
