{"id":"https://openalex.org/W2958998105","doi":"https://doi.org/10.1145/3326229.3326232","title":"Investigating the Existence of Orthogonal Golf Designs via Satisfiability Testing","display_name":"Investigating the Existence of Orthogonal Golf Designs via Satisfiability Testing","publication_year":2019,"publication_date":"2019-07-08","ids":{"openalex":"https://openalex.org/W2958998105","doi":"https://doi.org/10.1145/3326229.3326232","mag":"2958998105"},"language":"en","primary_location":{"id":"doi:10.1145/3326229.3326232","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3326229.3326232","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2019 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-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/A5102004658","display_name":"Pei Huang","orcid":"https://orcid.org/0000-0002-2989-5624"},"institutions":[{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Pei Huang","raw_affiliation_strings":["State Key Laboratory of Computer Science &amp; University of Chinese Academy of Sciences, Beijing, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Computer Science &amp; University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100721950","display_name":"Minghao Liu","orcid":"https://orcid.org/0000-0002-9673-6463"},"institutions":[{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Minghao Liu","raw_affiliation_strings":["State Key Laboratory of Computer Science &amp; University of Chinese Academy of Sciences, Beijing, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Computer Science &amp; University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066997484","display_name":"Cunjing Ge","orcid":"https://orcid.org/0000-0002-8249-1397"},"institutions":[{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cunjing Ge","raw_affiliation_strings":["State Key Laboratory of Computer Science &amp; University of Chinese Academy of Sciences, Beijing, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Computer Science &amp; University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100562744","display_name":"Feifei Ma","orcid":"https://orcid.org/0009-0000-9279-4263"},"institutions":[{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feifei Ma","raw_affiliation_strings":["State Key Laboratory of Computer Science, Chinese Academy of Sciences &amp; University of Chinese Academy of Sciences, Beijing, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Computer Science, Chinese Academy of Sciences &amp; University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100409954","display_name":"Jian Zhang","orcid":"https://orcid.org/0000-0002-4019-6752"},"institutions":[{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian Zhang","raw_affiliation_strings":["State Key Laboratory of Computer Science &amp; University of Chinese Academy of Sciences, Beijing, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Computer Science &amp; University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210165038"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5102004658"],"corresponding_institution_ids":["https://openalex.org/I4210165038"],"apc_list":null,"apc_paid":null,"fwci":0.7154,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.71354719,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"203","last_page":"210"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T11797","display_name":"graph theory and CDMA systems","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/idempotence","display_name":"Idempotence","score":0.6766501665115356},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.6136417984962463},{"id":"https://openalex.org/keywords/combinatorial-design","display_name":"Combinatorial design","score":0.6102288961410522},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.586927056312561},{"id":"https://openalex.org/keywords/orthogonal-array","display_name":"Orthogonal array","score":0.5278116464614868},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.5008144378662109},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4885729253292084},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.47419434785842896},{"id":"https://openalex.org/keywords/constraint-satisfaction-problem","display_name":"Constraint satisfaction problem","score":0.4544442594051361},{"id":"https://openalex.org/keywords/quasigroup","display_name":"Quasigroup","score":0.4520830512046814},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44324901700019836},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4010336399078369},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3454150855541229},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.30421969294548035},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2656720280647278},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1654701828956604}],"concepts":[{"id":"https://openalex.org/C172252984","wikidata":"https://www.wikidata.org/wiki/Q368988","display_name":"Idempotence","level":2,"score":0.6766501665115356},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.6136417984962463},{"id":"https://openalex.org/C122451846","wikidata":"https://www.wikidata.org/wiki/Q5150824","display_name":"Combinatorial design","level":2,"score":0.6102288961410522},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.586927056312561},{"id":"https://openalex.org/C42632107","wikidata":"https://www.wikidata.org/wiki/Q2031860","display_name":"Orthogonal array","level":3,"score":0.5278116464614868},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.5008144378662109},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4885729253292084},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.47419434785842896},{"id":"https://openalex.org/C199622910","wikidata":"https://www.wikidata.org/wiki/Q1128326","display_name":"Constraint satisfaction problem","level":3,"score":0.4544442594051361},{"id":"https://openalex.org/C198800484","wikidata":"https://www.wikidata.org/wiki/Q1503423","display_name":"Quasigroup","level":2,"score":0.4520830512046814},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44324901700019836},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4010336399078369},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3454150855541229},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.30421969294548035},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2656720280647278},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1654701828956604},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C83469408","wikidata":"https://www.wikidata.org/wiki/Q2036525","display_name":"Taguchi methods","level":2,"score":0.0},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3326229.3326232","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3326229.3326232","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2019 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7599999904632568,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W22657303","https://openalex.org/W50835235","https://openalex.org/W130655838","https://openalex.org/W137846029","https://openalex.org/W1482362965","https://openalex.org/W1585537805","https://openalex.org/W1626677565","https://openalex.org/W1987266292","https://openalex.org/W2037523475","https://openalex.org/W2048099924","https://openalex.org/W2059662983","https://openalex.org/W2061170475","https://openalex.org/W2082167089","https://openalex.org/W2084061022","https://openalex.org/W2086027515","https://openalex.org/W2122061707","https://openalex.org/W2124457053","https://openalex.org/W2215982992","https://openalex.org/W2261104772","https://openalex.org/W2345876752","https://openalex.org/W2406864099","https://openalex.org/W2512182535","https://openalex.org/W2558199011","https://openalex.org/W2752908210","https://openalex.org/W2788459610","https://openalex.org/W2804687349","https://openalex.org/W2808269184","https://openalex.org/W2809698117","https://openalex.org/W3104801676","https://openalex.org/W4236369371","https://openalex.org/W4237947076"],"related_works":["https://openalex.org/W4289419875","https://openalex.org/W2949500231","https://openalex.org/W2896482995","https://openalex.org/W2039905222","https://openalex.org/W2326541302","https://openalex.org/W2574276002","https://openalex.org/W2083498121","https://openalex.org/W2074807297","https://openalex.org/W4390048326","https://openalex.org/W2077125930"],"abstract_inverted_index":{"A":[0],"collection":[1,21],"of":[2,7,63,135],"n-2":[3],"idempotent":[4,35],"symmetric":[5,36],"quasigroups":[6,18],"order":[8],"n":[9],"is":[10,53,67,105],"called":[11,55],"a":[12,80,141],"golf":[13,26,40,49,58,65],"design":[14,41,59,73],"if":[15,33],"all":[16],"the":[17,20,47,133],"in":[19,46,71,118],"are":[22,28],"mutually":[23],"disjoint.":[24],"Two":[25],"designs":[27,66],"said":[29],"to":[30,113,131],"be":[31],"orthogonal":[32,44,57,64],"any":[34],"quasigroup":[37],"from":[38],"one":[39],"has":[42],"an":[43,56,68],"mate":[45],"other":[48],"design,":[50],"and":[51,95,108,128],"it":[52,109],"also":[54],"(OG(n)).":[60],"The":[61,98],"existence":[62],"open":[69,85],"problem":[70],"combinatorial":[72],"theory.":[74],"In":[75,121],"this":[76],"paper,":[77],"we":[78,123],"describe":[79],"method":[81,104],"for":[82],"solving":[83],"some":[84,115,136],"cases":[86],"using":[87],"automated":[88],"reasoning":[89],"tools,":[90],"employing":[91],"both":[92],"symmetry":[93],"breaking":[94],"heuristic":[96],"decision.":[97],"experimental":[99],"results":[100,117],"show":[101],"that":[102],"our":[103],"highly":[106],"efficient":[107],"indeed":[110],"allowed":[111],"us":[112],"get":[114],"positive":[116],"reasonable":[119],"time.":[120],"particular,":[122],"apply":[124],"state-of-the-art":[125],"SAT":[126],"solvers":[127,130],"constraint":[129],"decide":[132],"non-existence":[134],"instances,":[137],"which":[138],"can":[139],"produce":[140],"formal":[142],"proof.":[143]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
