{"id":"https://openalex.org/W3212800592","doi":"https://doi.org/10.1145/3503607","title":"Computing Area-Optimal Simple Polygonizations","display_name":"Computing Area-Optimal Simple Polygonizations","publication_year":2022,"publication_date":"2022-05-25","ids":{"openalex":"https://openalex.org/W3212800592","doi":"https://doi.org/10.1145/3503607","mag":"3212800592"},"language":"en","primary_location":{"id":"doi:10.1145/3503607","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3503607","pdf_url":null,"source":{"id":"https://openalex.org/S201104086","display_name":"ACM Journal of Experimental Algorithmics","issn_l":"1084-6654","issn":["1084-6654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Journal of Experimental Algorithmics","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/A5015542807","display_name":"S\u00e1ndor P. Fekete","orcid":"https://orcid.org/0000-0002-9062-4241"},"institutions":[{"id":"https://openalex.org/I94509681","display_name":"Technische Universit\u00e4t Braunschweig","ror":"https://ror.org/010nsgg66","country_code":"DE","type":"education","lineage":["https://openalex.org/I94509681"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"S\u00e1ndor P. Fekete","raw_affiliation_strings":["Department of Computer Science, TU Braunschweig, Braunschweig, Germany"],"raw_orcid":"https://orcid.org/0000-0002-9062-4241","affiliations":[{"raw_affiliation_string":"Department of Computer Science, TU Braunschweig, Braunschweig, Germany","institution_ids":["https://openalex.org/I94509681"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109346350","display_name":"Andreas Haas","orcid":null},"institutions":[{"id":"https://openalex.org/I94509681","display_name":"Technische Universit\u00e4t Braunschweig","ror":"https://ror.org/010nsgg66","country_code":"DE","type":"education","lineage":["https://openalex.org/I94509681"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Andreas Haas","raw_affiliation_strings":["Department of Computer Science, TU Braunschweig, Braunschweig, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, TU Braunschweig, Braunschweig, Germany","institution_ids":["https://openalex.org/I94509681"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076288432","display_name":"Phillip Keldenich","orcid":"https://orcid.org/0000-0002-6677-5090"},"institutions":[{"id":"https://openalex.org/I94509681","display_name":"Technische Universit\u00e4t Braunschweig","ror":"https://ror.org/010nsgg66","country_code":"DE","type":"education","lineage":["https://openalex.org/I94509681"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Phillip Keldenich","raw_affiliation_strings":["Department of Computer Science, TU Braunschweig, Braunschweig, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, TU Braunschweig, Braunschweig, Germany","institution_ids":["https://openalex.org/I94509681"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021280030","display_name":"Michael Perk","orcid":"https://orcid.org/0000-0002-0141-8594"},"institutions":[{"id":"https://openalex.org/I94509681","display_name":"Technische Universit\u00e4t Braunschweig","ror":"https://ror.org/010nsgg66","country_code":"DE","type":"education","lineage":["https://openalex.org/I94509681"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michael Perk","raw_affiliation_strings":["Department of Computer Science, TU Braunschweig, Braunschweig, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, TU Braunschweig, Braunschweig, Germany","institution_ids":["https://openalex.org/I94509681"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086577496","display_name":"Arne Schmidt","orcid":"https://orcid.org/0000-0001-8950-3963"},"institutions":[{"id":"https://openalex.org/I94509681","display_name":"Technische Universit\u00e4t Braunschweig","ror":"https://ror.org/010nsgg66","country_code":"DE","type":"education","lineage":["https://openalex.org/I94509681"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Arne Schmidt","raw_affiliation_strings":["Department of Computer Science, TU Braunschweig, Braunschweig, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, TU Braunschweig, Braunschweig, Germany","institution_ids":["https://openalex.org/I94509681"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5015542807"],"corresponding_institution_ids":["https://openalex.org/I94509681"],"apc_list":null,"apc_paid":null,"fwci":1.1009,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.82003243,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"27","issue":null,"first_page":"1","last_page":"23"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998000264167786,"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12698","display_name":"3D Modeling in Geospatial Applications","score":0.9883000254631042,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6651982069015503},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.6413516998291016},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.6345857977867126},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6099909543991089},{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.5838488340377808},{"id":"https://openalex.org/keywords/simple-polygon","display_name":"Simple polygon","score":0.5667298436164856},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5491150617599487},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5203808546066284},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5077205896377563},{"id":"https://openalex.org/keywords/cutting-plane-method","display_name":"Cutting-plane method","score":0.4599660038948059},{"id":"https://openalex.org/keywords/set-cover-problem","display_name":"Set cover problem","score":0.4439144432544708},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44171181321144104},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.41925176978111267},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34506067633628845},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.10775768756866455},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09056740999221802}],"concepts":[{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6651982069015503},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.6413516998291016},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.6345857977867126},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6099909543991089},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.5838488340377808},{"id":"https://openalex.org/C197949415","wikidata":"https://www.wikidata.org/wiki/Q782746","display_name":"Simple polygon","level":3,"score":0.5667298436164856},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5491150617599487},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5203808546066284},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5077205896377563},{"id":"https://openalex.org/C109839438","wikidata":"https://www.wikidata.org/wiki/Q1762039","display_name":"Cutting-plane method","level":3,"score":0.4599660038948059},{"id":"https://openalex.org/C100808899","wikidata":"https://www.wikidata.org/wiki/Q1192100","display_name":"Set cover problem","level":3,"score":0.4439144432544708},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44171181321144104},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.41925176978111267},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34506067633628845},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.10775768756866455},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09056740999221802},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3503607","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3503607","pdf_url":null,"source":{"id":"https://openalex.org/S201104086","display_name":"ACM Journal of Experimental Algorithmics","issn_l":"1084-6654","issn":["1084-6654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Journal of Experimental Algorithmics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W134695598","https://openalex.org/W1991348837","https://openalex.org/W2002531683","https://openalex.org/W2048699157","https://openalex.org/W2057463094","https://openalex.org/W2060314446","https://openalex.org/W2115049345","https://openalex.org/W2338207953","https://openalex.org/W2593492436","https://openalex.org/W2963876063","https://openalex.org/W3212913259","https://openalex.org/W4213060883"],"related_works":["https://openalex.org/W2048233275","https://openalex.org/W4315798097","https://openalex.org/W4308609420","https://openalex.org/W3014595637","https://openalex.org/W2046300504","https://openalex.org/W1967086241","https://openalex.org/W1834706786","https://openalex.org/W2584574018","https://openalex.org/W4286858771","https://openalex.org/W3212800592"],"abstract_inverted_index":{"We":[0,62],"consider":[1],"methods":[2,45,52],"for":[3,20],"finding":[4],"a":[5,21,68,76,103],"simple":[6],"polygon":[7],"of":[8,24,39,60,70,84,99,112],"minimum":[9],"(":[10,15],"Min-Area":[11],")":[12,17],"or":[13],"maximum":[14],"Max-Area":[16],"possible":[18],"area":[19],"given":[22],"set":[23],"points":[25,90],"in":[26],"the":[27,37,40,97,109],"plane.":[28],"Both":[29],"problems":[30],"are":[31,79],"known":[32],"to":[33,81,86,91],"be":[34],"NP-hard;":[35],"at":[36],"center":[38],"recent":[41],"CG":[42],"Challenge,":[43],"practical":[44,110],"have":[46],"received":[47],"considerable":[48,104],"attention.":[49],"However,":[50],"previous":[51],"focused":[53],"on":[54,67],"heuristic":[55],"methods,":[56,65],"with":[57],"no":[58],"proof":[59],"optimality.":[61,93],"develop":[63],"exact":[64],"based":[66],"combination":[69],"geometry":[71],"and":[72],"integer":[73],"programming.":[74],"As":[75],"result,":[77],"we":[78],"able":[80],"solve":[82],"instances":[83,101],"up":[85],"\\(":[87],"n=25":[88],"\\)":[89],"provable":[92],"While":[94],"this":[95],"extends":[96],"range":[98],"solvable":[100],"by":[102],"amount,":[105],"it":[106],"also":[107],"illustrates":[108],"difficulty":[111],"both":[113],"problem":[114],"variants.":[115]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}