{"id":"https://openalex.org/W2981814885","doi":"https://doi.org/10.1002/cmm4.1094","title":"Computing autotopism groups of partial Latin rectangles: A pilot study","display_name":"Computing autotopism groups of partial Latin rectangles: A pilot study","publication_year":2020,"publication_date":"2020-04-20","ids":{"openalex":"https://openalex.org/W2981814885","doi":"https://doi.org/10.1002/cmm4.1094","mag":"2981814885"},"language":"en","primary_location":{"id":"doi:10.1002/cmm4.1094","is_oa":true,"landing_page_url":"https://doi.org/10.1002/cmm4.1094","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/cmm4.1094","source":{"id":"https://openalex.org/S4210240678","display_name":"Computational and Mathematical Methods","issn_l":"2577-7408","issn":["2577-7408"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Mathematical Methods","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/cmm4.1094","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Rebecca J. Stones","orcid":null},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rebecca J. Stones","raw_affiliation_strings":["College of Computer Science Nankai University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer Science Nankai University","institution_ids":["https://openalex.org/I205237279"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Ra\u00fal M. Falc\u00f3n","orcid":"https://orcid.org/0000-0002-6474-7301"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ra\u00fal M. Falc\u00f3n","raw_affiliation_strings":["School of Building Engineering Universidad de Sevilla"],"raw_orcid":"https://orcid.org/0000-0002-6474-7301","affiliations":[{"raw_affiliation_string":"School of Building Engineering Universidad de Sevilla","institution_ids":[]}]},{"author_position":"middle","author":{"id":null,"display_name":"Daniel Kotlar","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Daniel Kotlar","raw_affiliation_strings":["Department of Computer Science Tel\u2010Hai College"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science Tel\u2010Hai College","institution_ids":[]}]},{"author_position":"last","author":{"id":null,"display_name":"Trent G. Marbach","orcid":null},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Trent G. Marbach","raw_affiliation_strings":["College of Computer Science Nankai University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer Science Nankai University","institution_ids":["https://openalex.org/I205237279"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":775,"currency":"USD","value_usd":775},"apc_paid":null,"fwci":0.0814,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.36258375,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"3","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.5679000020027161,"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":0.5679000020027161,"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"}},{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.07530000060796738,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.05249999836087227,"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/backtracking","display_name":"Backtracking","score":0.6456999778747559},{"id":"https://openalex.org/keywords/latin-square","display_name":"Latin square","score":0.6428999900817871},{"id":"https://openalex.org/keywords/latin-americans","display_name":"Latin Americans","score":0.49390000104904175},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.4909999966621399},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4763999879360199},{"id":"https://openalex.org/keywords/partial-least-squares-regression","display_name":"Partial least squares regression","score":0.4189999997615814},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.3472999930381775}],"concepts":[{"id":"https://openalex.org/C156884757","wikidata":"https://www.wikidata.org/wiki/Q798554","display_name":"Backtracking","level":2,"score":0.6456999778747559},{"id":"https://openalex.org/C158887663","wikidata":"https://www.wikidata.org/wiki/Q679367","display_name":"Latin square","level":4,"score":0.6428999900817871},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5188000202178955},{"id":"https://openalex.org/C158886217","wikidata":"https://www.wikidata.org/wiki/Q16799549","display_name":"Latin Americans","level":2,"score":0.49390000104904175},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.4909999966621399},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4763999879360199},{"id":"https://openalex.org/C22354355","wikidata":"https://www.wikidata.org/wiki/Q422009","display_name":"Partial least squares regression","level":2,"score":0.4189999997615814},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.3472999930381775},{"id":"https://openalex.org/C2988750069","wikidata":"https://www.wikidata.org/wiki/Q60790315","display_name":"Automorphism group","level":3,"score":0.3409999907016754},{"id":"https://openalex.org/C2781302577","wikidata":"https://www.wikidata.org/wiki/Q209","display_name":"Rectangle","level":2,"score":0.31540000438690186},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31380000710487366},{"id":"https://openalex.org/C83864248","wikidata":"https://www.wikidata.org/wiki/Q177323","display_name":"Developing country","level":2,"score":0.3001999855041504},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.296099990606308},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2750000059604645},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.26750001311302185},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.26649999618530273},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.266400009393692},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.26600000262260437},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.25760000944137573}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/cmm4.1094","is_oa":true,"landing_page_url":"https://doi.org/10.1002/cmm4.1094","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/cmm4.1094","source":{"id":"https://openalex.org/S4210240678","display_name":"Computational and Mathematical Methods","issn_l":"2577-7408","issn":["2577-7408"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Mathematical Methods","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1910.10103","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.10103","pdf_url":"https://arxiv.org/pdf/1910.10103","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"doi:10.1002/cmm4.1094","is_oa":true,"landing_page_url":"https://doi.org/10.1002/cmm4.1094","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/cmm4.1094","source":{"id":"https://openalex.org/S4210240678","display_name":"Computational and Mathematical Methods","issn_l":"2577-7408","issn":["2577-7408"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Mathematical Methods","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2981814885.pdf"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W165726963","https://openalex.org/W1531263524","https://openalex.org/W1543193062","https://openalex.org/W1825715517","https://openalex.org/W1911411026","https://openalex.org/W1969156863","https://openalex.org/W1971236443","https://openalex.org/W1989673299","https://openalex.org/W1990600049","https://openalex.org/W2002358476","https://openalex.org/W2024088248","https://openalex.org/W2024273986","https://openalex.org/W2033627833","https://openalex.org/W2040253880","https://openalex.org/W2041403920","https://openalex.org/W2056965013","https://openalex.org/W2061684875","https://openalex.org/W2069392999","https://openalex.org/W2075388900","https://openalex.org/W2081836846","https://openalex.org/W2154750111","https://openalex.org/W2189119475","https://openalex.org/W2230823414","https://openalex.org/W2338054667","https://openalex.org/W2601649413","https://openalex.org/W2729841943","https://openalex.org/W2947986069","https://openalex.org/W2949002869","https://openalex.org/W2963265631","https://openalex.org/W2963931126","https://openalex.org/W3000844629","https://openalex.org/W3171533783","https://openalex.org/W6639695688"],"related_works":[],"abstract_inverted_index":{"Computing":[0],"the":[1,33,65,82,133,152,171],"autotopism":[2,180],"group":[3],"of":[4,15,52,67,84,123,166,173],"a":[5,13,125],"partial":[6,141,163],"Latin":[7,142,156,164,174],"rectangle":[8],"can":[9],"be":[10,112],"performed":[11],"in":[12,39],"variety":[14],"ways.":[16],"This":[17],"pilot":[18],"study":[19],"has":[20],"two":[21,71,76],"aims:":[22],"(a)":[23,100],"to":[24,31],"compare":[25,49],"these":[26,110],"methods":[27,56],"experimentally,":[28],"and":[29,57,63,87,90,109,150],"(b)":[30,118],"identify":[32],"design":[34],"goals":[35],"one":[36,79,91],"should":[37,111],"have":[38],"mind":[40],"for":[41,135,154],"developing":[42],"practical":[43],"software.":[44],"To":[45],"this":[46],"end,":[47],"we":[48],"six":[50],"families":[51],"algorithms":[53],"(two":[54],"backtracking":[55],"four":[58],"graph":[59],"automorphism":[60],"methods),":[61],"with":[62,101,119,138,176],"without":[64],"use":[66],"entry":[68,77,127,146],"invariants,":[69],"on":[70],"test":[72],"suites.":[73],"We":[74,98],"consider":[75],"invariants:":[78],"determined":[80,92],"by":[81,93,170],"frequencies":[83],"row,":[85],"column,":[86],"symbol":[88],"representatives,":[89],"$2":[94],"\\times":[95],"2$":[96],"submatrices.":[97],"find:":[99],"very":[102],"few":[103],"entries,":[104,124],"many":[105],"symmetries":[106],"often":[107],"exist,":[108],"identified":[113],"mathematically":[114],"rather":[115],"than":[116,161],"computationally,":[117],"an":[120,139],"intermediate":[121],"number":[122],"quick-to-compute":[126],"invariant":[128],"was":[129],"effective":[130],"at":[131],"reducing":[132],"need":[134],"computation,":[136],"(c)":[137],"almost-full":[140],"rectangle,":[143],"more":[144],"sophisticated":[145],"invariants":[147],"are":[148],"needed,":[149],"(d)":[151],"performance":[153],"(full)":[155],"squares":[157,175],"is":[158],"significantly":[159],"poorer":[160],"other":[162],"rectangles":[165],"comparable":[167],"size,":[168],"obstructed":[169],"existence":[172],"large":[177],"(possibly":[178],"transitive)":[179],"groups.":[181]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2019-11-01T00:00:00"}
