{"id":"https://openalex.org/W4399509059","doi":"https://doi.org/10.1145/3670405","title":"SAT Modulo Symmetries for Graph Generation and Enumeration","display_name":"SAT Modulo Symmetries for Graph Generation and Enumeration","publication_year":2024,"publication_date":"2024-06-10","ids":{"openalex":"https://openalex.org/W4399509059","doi":"https://doi.org/10.1145/3670405"},"language":"en","primary_location":{"id":"doi:10.1145/3670405","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3670405","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3670405","source":{"id":"https://openalex.org/S117153874","display_name":"ACM Transactions on Computational Logic","issn_l":"1529-3785","issn":["1529-3785","1557-945X"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computational Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3670405","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003359571","display_name":"Markus Kirchweger","orcid":"https://orcid.org/0000-0002-1838-8344"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Markus Kirchweger","raw_affiliation_strings":["Algorithms and Complexity Group, TU Wien, Vienna, Austria"],"affiliations":[{"raw_affiliation_string":"Algorithms and Complexity Group, TU Wien, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037092803","display_name":"Stefan Szeider","orcid":"https://orcid.org/0000-0001-8994-1656"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Stefan Szeider","raw_affiliation_strings":["Algorithms and Complexity Group, TU Wien, Vienna, Austria"],"affiliations":[{"raw_affiliation_string":"Algorithms and Complexity Group, TU Wien, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5003359571"],"corresponding_institution_ids":["https://openalex.org/I145847075"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10466005,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"25","issue":"3","first_page":"1","last_page":"30"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9980999827384949,"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":0.9980999827384949,"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/T10142","display_name":"Formal Methods in Verification","score":0.996999979019165,"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.993399977684021,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/propagator","display_name":"Propagator","score":0.7194292545318604},{"id":"https://openalex.org/keywords/lexicographical-order","display_name":"Lexicographical order","score":0.7021287083625793},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6086224317550659},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.5830204486846924},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5456181764602661},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5389813184738159},{"id":"https://openalex.org/keywords/homogeneous-space","display_name":"Homogeneous space","score":0.4908200204372406},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4718087911605835},{"id":"https://openalex.org/keywords/symmetry-breaking","display_name":"Symmetry breaking","score":0.46666496992111206},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4531640112400055},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.43928948044776917},{"id":"https://openalex.org/keywords/modular-decomposition","display_name":"Modular decomposition","score":0.4235004186630249},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.2308083474636078},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.15425056219100952},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10580745339393616},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09270131587982178},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.07044833898544312}],"concepts":[{"id":"https://openalex.org/C104416048","wikidata":"https://www.wikidata.org/wiki/Q302518","display_name":"Propagator","level":2,"score":0.7194292545318604},{"id":"https://openalex.org/C159254197","wikidata":"https://www.wikidata.org/wiki/Q1144915","display_name":"Lexicographical order","level":2,"score":0.7021287083625793},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6086224317550659},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.5830204486846924},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5456181764602661},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5389813184738159},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.4908200204372406},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4718087911605835},{"id":"https://openalex.org/C204795200","wikidata":"https://www.wikidata.org/wiki/Q903282","display_name":"Symmetry breaking","level":2,"score":0.46666496992111206},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4531640112400055},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.43928948044776917},{"id":"https://openalex.org/C187407849","wikidata":"https://www.wikidata.org/wiki/Q6889712","display_name":"Modular decomposition","level":5,"score":0.4235004186630249},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.2308083474636078},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.15425056219100952},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10580745339393616},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09270131587982178},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.07044833898544312},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3670405","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3670405","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3670405","source":{"id":"https://openalex.org/S117153874","display_name":"ACM Transactions on Computational Logic","issn_l":"1529-3785","issn":["1529-3785","1557-945X"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computational Logic","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/3670405","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3670405","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3670405","source":{"id":"https://openalex.org/S117153874","display_name":"ACM Transactions on Computational Logic","issn_l":"1529-3785","issn":["1529-3785","1557-945X"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computational Logic","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/14","score":0.7300000190734863,"display_name":"Life below water"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4399509059.pdf"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W194801153","https://openalex.org/W1547410739","https://openalex.org/W1604717918","https://openalex.org/W1604945782","https://openalex.org/W1966969478","https://openalex.org/W1972567131","https://openalex.org/W1973322735","https://openalex.org/W1990600049","https://openalex.org/W1995854326","https://openalex.org/W2011388930","https://openalex.org/W2020925806","https://openalex.org/W2041648195","https://openalex.org/W2045687770","https://openalex.org/W2047367020","https://openalex.org/W2073918695","https://openalex.org/W2087983512","https://openalex.org/W2095689360","https://openalex.org/W2102027040","https://openalex.org/W2130088495","https://openalex.org/W2150527183","https://openalex.org/W2172575773","https://openalex.org/W2270972703","https://openalex.org/W2499282942","https://openalex.org/W2509462092","https://openalex.org/W2529918221","https://openalex.org/W2564212270","https://openalex.org/W2578895614","https://openalex.org/W2742197492","https://openalex.org/W2799039528","https://openalex.org/W2803654607","https://openalex.org/W2888038357","https://openalex.org/W2905488863","https://openalex.org/W2945470040","https://openalex.org/W2998302033","https://openalex.org/W3206033162","https://openalex.org/W4231152348","https://openalex.org/W4238171218","https://openalex.org/W4239304108","https://openalex.org/W4296317424","https://openalex.org/W4366506560","https://openalex.org/W4377249535","https://openalex.org/W4382141913","https://openalex.org/W4385768199","https://openalex.org/W6910547832","https://openalex.org/W6928934712","https://openalex.org/W6928958775","https://openalex.org/W6947834766","https://openalex.org/W6969156599"],"related_works":["https://openalex.org/W2747757380","https://openalex.org/W1993634787","https://openalex.org/W3125614403","https://openalex.org/W4249951934","https://openalex.org/W2336717475","https://openalex.org/W2476923378","https://openalex.org/W3028230607","https://openalex.org/W2019645717","https://openalex.org/W3100240142","https://openalex.org/W3028508022"],"abstract_inverted_index":{"We":[0,101],"propose":[1],"a":[2,15,20,49,62,90,96],"novel":[3],"SAT-based":[4],"approach":[5,10,57,104],"to":[6,48,134],"graph":[7,35],"generation.":[8],"Our":[9],"utilizes":[11],"the":[12,25,33,53,72,82,87,124,139],"interaction":[13],"between":[14],"CDCL":[16,83],"SAT":[17,26],"solver":[18,27],"and":[19,85,117,137,146],"special":[21],"symmetry":[22,38,64,76,92],"propagator":[23,39,88],"where":[24],"runs":[28],"on":[29,128],"an":[30],"encoding":[31],"of":[32,114,142],"desired":[34],"property.":[36],"The":[37],"checks":[40],"partially":[41],"generated":[42],"graphs":[43,108,130,132,144],"for":[44,131],"minimality":[45],"with":[46,109],"respect":[47],"lexicographic":[50],"ordering":[51],"during":[52],"solving":[54],"process.":[55],"This":[56],"has":[58],"several":[59],"advantages":[60],"over":[61],"static":[63],"breaking:":[65],"(i)":[66],"symmetries":[67],"are":[68],"detected":[69],"early":[70],"in":[71,112],"generation":[73],"process,":[74],"(ii)":[75],"breaking":[77,93],"is":[78],"seamlessly":[79],"integrated":[80],"into":[81],"procedure,":[84],"(iii)":[86],"performs":[89],"complete":[91],"without":[94],"causing":[95],"prohibitively":[97],"large":[98],"initial":[99],"encoding.":[100],"instantiate":[102],"our":[103],"by":[105],"generating":[106],"extremal":[107],"certain":[110],"restrictions":[111],"terms":[113],"forbidden":[115],"subgraphs":[116],"diameter.":[118],"In":[119],"particular,":[120],"we":[121],"could":[122],"confirm":[123],"Murty\u2013Simon":[125],"Conjecture":[126],"(1979)":[127],"diameter-2-critical":[129],"up":[133],"19":[135],"vertices":[136],"prove":[138],"exact":[140],"number":[141],"Ramsey":[143],"\\(\\mathcal{R}(3,5,n)\\)":[145],"\\(\\mathcal{R}(4,4,n)\\)":[147],".":[148]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
