{"id":"https://openalex.org/W4392386293","doi":"https://doi.org/10.1145/3649445","title":"A Complexity Dichotomy in Spatial Reasoning via Ramsey Theory","display_name":"A Complexity Dichotomy in Spatial Reasoning via Ramsey Theory","publication_year":2024,"publication_date":"2024-03-01","ids":{"openalex":"https://openalex.org/W4392386293","doi":"https://doi.org/10.1145/3649445"},"language":"en","primary_location":{"id":"doi:10.1145/3649445","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3649445","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3649445","source":{"id":"https://openalex.org/S205019203","display_name":"ACM Transactions on Computation Theory","issn_l":"1942-3454","issn":["1942-3454","1942-3462"],"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 Transactions on Computation Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3649445","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058729018","display_name":"Manuel Bodirsky","orcid":"https://orcid.org/0000-0001-8228-3611"},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"Technische Universit\u00e4t Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Manuel Bodirsky","raw_affiliation_strings":["Institut f\u00fcr Algebra, Fakult\u00e4t f\u00fcr Mathematik, TU Dresden, Germany"],"raw_orcid":"https://orcid.org/0000-0001-8228-3611","affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Algebra, Fakult\u00e4t f\u00fcr Mathematik, TU Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030117390","display_name":"Bertalan Bodor","orcid":"https://orcid.org/0009-0003-6679-6355"},"institutions":[{"id":"https://openalex.org/I227486990","display_name":"University of Szeged","ror":"https://ror.org/01pnej532","country_code":"HU","type":"education","lineage":["https://openalex.org/I227486990"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Bertalan Bodor","raw_affiliation_strings":["Department of Algebra and Number Theory, University of Szeged, Szeged, Hungary"],"raw_orcid":"https://orcid.org/0009-0003-6679-6355","affiliations":[{"raw_affiliation_string":"Department of Algebra and Number Theory, University of Szeged, Szeged, Hungary","institution_ids":["https://openalex.org/I227486990"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058729018"],"corresponding_institution_ids":["https://openalex.org/I78650965"],"apc_list":null,"apc_paid":null,"fwci":1.0092,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.75292996,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"16","issue":"2","first_page":"1","last_page":"39"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9995999932289124,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9983000159263611,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9975000023841858,"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/constraint-satisfaction-problem","display_name":"Constraint satisfaction problem","score":0.7100664973258972},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7092500329017639},{"id":"https://openalex.org/keywords/complexity-class","display_name":"Complexity class","score":0.6183772087097168},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.557520866394043},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.5486814975738525},{"id":"https://openalex.org/keywords/formalism","display_name":"Formalism (music)","score":0.5345664620399475},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4764702320098877},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46356141567230225},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.45478901267051697},{"id":"https://openalex.org/keywords/ramsey-theory","display_name":"Ramsey theory","score":0.44358983635902405},{"id":"https://openalex.org/keywords/datalog","display_name":"Datalog","score":0.4394654333591461},{"id":"https://openalex.org/keywords/constraint-satisfaction","display_name":"Constraint satisfaction","score":0.4370333254337311},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3854869306087494},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.25347715616226196},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20707657933235168},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18519467115402222},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10547593235969543}],"concepts":[{"id":"https://openalex.org/C199622910","wikidata":"https://www.wikidata.org/wiki/Q1128326","display_name":"Constraint satisfaction problem","level":3,"score":0.7100664973258972},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7092500329017639},{"id":"https://openalex.org/C39637292","wikidata":"https://www.wikidata.org/wiki/Q908207","display_name":"Complexity class","level":3,"score":0.6183772087097168},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.557520866394043},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.5486814975738525},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.5345664620399475},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4764702320098877},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46356141567230225},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.45478901267051697},{"id":"https://openalex.org/C112291201","wikidata":"https://www.wikidata.org/wiki/Q1336170","display_name":"Ramsey theory","level":2,"score":0.44358983635902405},{"id":"https://openalex.org/C148230440","wikidata":"https://www.wikidata.org/wiki/Q1172264","display_name":"Datalog","level":2,"score":0.4394654333591461},{"id":"https://openalex.org/C44616089","wikidata":"https://www.wikidata.org/wiki/Q30158686","display_name":"Constraint satisfaction","level":3,"score":0.4370333254337311},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3854869306087494},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.25347715616226196},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20707657933235168},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18519467115402222},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10547593235969543},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C558565934","wikidata":"https://www.wikidata.org/wiki/Q2743","display_name":"Musical","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3649445","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3649445","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3649445","source":{"id":"https://openalex.org/S205019203","display_name":"ACM Transactions on Computation Theory","issn_l":"1942-3454","issn":["1942-3454","1942-3462"],"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 Transactions on Computation Theory","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/3649445","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3649445","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3649445","source":{"id":"https://openalex.org/S205019203","display_name":"ACM Transactions on Computation Theory","issn_l":"1942-3454","issn":["1942-3454","1942-3462"],"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 Transactions on Computation Theory","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1054387443","display_name":null,"funder_award_id":"TKP2021-NVA-09","funder_id":"https://openalex.org/F4320326762","funder_display_name":"Nemzeti Kutat\u00e1si Fejleszt\u00e9si \u00e9s Innov\u00e1ci\u00f3s Hivatal"},{"id":"https://openalex.org/G1304993860","display_name":null,"funder_award_id":"101071674","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G134384773","display_name":null,"funder_award_id":"TKP2021","funder_id":"https://openalex.org/F4320326762","funder_display_name":"Nemzeti Kutat\u00e1si Fejleszt\u00e9si \u00e9s Innov\u00e1ci\u00f3s Hivatal"},{"id":"https://openalex.org/G2009008446","display_name":null,"funder_award_id":"TKP2021-NVA","funder_id":"https://openalex.org/F4320326762","funder_display_name":"Nemzeti Kutat\u00e1si Fejleszt\u00e9si \u00e9s Innov\u00e1ci\u00f3s Hivatal"},{"id":"https://openalex.org/G5489890681","display_name":null,"funder_award_id":"TKP2021","funder_id":"https://openalex.org/F4320328991","funder_display_name":"Innov\u00e1ci\u00f3s \u00e9s Technol\u00f3giai Miniszt\u00e9rium"},{"id":"https://openalex.org/G7478106387","display_name":null,"funder_award_id":"TKP2021-NVA","funder_id":"https://openalex.org/F4320328991","funder_display_name":"Innov\u00e1ci\u00f3s \u00e9s Technol\u00f3giai Miniszt\u00e9rium"},{"id":"https://openalex.org/G8251372944","display_name":null,"funder_award_id":"TKP2021-NVA-09","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8436601306","display_name":null,"funder_award_id":"TKP2021-NVA-09","funder_id":"https://openalex.org/F4320328991","funder_display_name":"Innov\u00e1ci\u00f3s \u00e9s Technol\u00f3giai Miniszt\u00e9rium"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320326762","display_name":"Nemzeti Kutat\u00e1si Fejleszt\u00e9si \u00e9s Innov\u00e1ci\u00f3s Hivatal","ror":null},{"id":"https://openalex.org/F4320328991","display_name":"Innov\u00e1ci\u00f3s \u00e9s Technol\u00f3giai Miniszt\u00e9rium","ror":"https://ror.org/02ey3ab96"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4392386293.pdf","grobid_xml":"https://content.openalex.org/works/W4392386293.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W1506077386","https://openalex.org/W1852197782","https://openalex.org/W1866703525","https://openalex.org/W1967190838","https://openalex.org/W1968276645","https://openalex.org/W1988961015","https://openalex.org/W1993886628","https://openalex.org/W1998968023","https://openalex.org/W2020154454","https://openalex.org/W2026753685","https://openalex.org/W2035932556","https://openalex.org/W2078586522","https://openalex.org/W2087215337","https://openalex.org/W2102459557","https://openalex.org/W2150339067","https://openalex.org/W2156215965","https://openalex.org/W2158513360","https://openalex.org/W2292152734","https://openalex.org/W2564015517","https://openalex.org/W2593619415","https://openalex.org/W2604316877","https://openalex.org/W2740483412","https://openalex.org/W2797367636","https://openalex.org/W2962859941","https://openalex.org/W2963629206","https://openalex.org/W2963666051","https://openalex.org/W2980201320","https://openalex.org/W3014119257","https://openalex.org/W3016066873","https://openalex.org/W3038109304","https://openalex.org/W3103815471","https://openalex.org/W3104398743","https://openalex.org/W3123432145","https://openalex.org/W3128039275","https://openalex.org/W3157495244","https://openalex.org/W4212983195","https://openalex.org/W4386860180","https://openalex.org/W6785956095"],"related_works":["https://openalex.org/W4287865589","https://openalex.org/W3031230092","https://openalex.org/W3007918591","https://openalex.org/W2161128834","https://openalex.org/W2091348864","https://openalex.org/W2569549435","https://openalex.org/W2097415053","https://openalex.org/W4297229611","https://openalex.org/W2012141606","https://openalex.org/W1550482496"],"abstract_inverted_index":{"Constraint":[0],"satisfaction":[1],"problems":[2,18],"(CSPs)":[3],"for":[4,36,52,78],"first-order":[5,81],"reducts":[6],"of":[7,16,80,83,87,98],"finitely":[8],"bounded":[9],"homogeneous":[10],"structures":[11],"form":[12],"a":[13,22,40,53,74,117],"large":[14,55],"class":[15],"computational":[17],"that":[19,114],"might":[20],"exhibit":[21],"complexity":[23,76],"dichotomy,":[24],"P":[25],"versus":[26],"NP-complete.":[27],"A":[28],"powerful":[29],"method":[30,64,107],"to":[31,43,72],"obtain":[32,73],"polynomial-time":[33,44],"tractability":[34],"results":[35],"such":[37],"CSPs":[38,47,79,100],"is":[39],"certain":[41],"reduction":[42],"tractable":[45],"finite-domain":[46],"defined":[48],"over":[49],"k":[50,56],"-types,":[51],"sufficiently":[54],".":[57],"We":[58,94],"give":[59],"sufficient":[60],"conditions":[61,71],"when":[62],"this":[63],"can":[65,101],"be":[66,102],"applied":[67],"and":[68],"apply":[69],"these":[70,99],"new":[75],"dichotomy":[77],"expansions":[82],"the":[84,88],"basic":[85],"relations":[86],"well-studied":[89],"spatial":[90],"reasoning":[91],"formalism":[92],"RCC5.":[93],"also":[95],"classify":[96],"which":[97],"expressed":[103],"in":[104],"Datalog.":[105],"Our":[106],"relies":[108],"on":[109],"Ramsey":[110,118],"theory;":[111],"we":[112],"prove":[113],"RCC5":[115],"has":[116],"order":[119],"expansion.":[120]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}