{"id":"https://openalex.org/W2482503862","doi":"https://doi.org/10.37236/6431","title":"Enumerations, Forbidden Subgraph Characterizations, and the Split-Decomposition","display_name":"Enumerations, Forbidden Subgraph Characterizations, and the Split-Decomposition","publication_year":2018,"publication_date":"2018-12-21","ids":{"openalex":"https://openalex.org/W2482503862","doi":"https://doi.org/10.37236/6431","mag":"2482503862"},"language":"en","primary_location":{"id":"doi:10.37236/6431","is_oa":true,"landing_page_url":"https://doi.org/10.37236/6431","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v25i4p47/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v25i4p47/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074815438","display_name":"Maryam Bahrani","orcid":"https://orcid.org/0000-0001-5570-3246"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Maryam Bahrani","raw_affiliation_strings":["Princeton University, Department of Computer Science","Princeton University"],"affiliations":[{"raw_affiliation_string":"Princeton University, Department of Computer Science","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Princeton University","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051461215","display_name":"J\u00e9r\u00e9mie Lumbroso","orcid":"https://orcid.org/0000-0002-5563-687X"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J\u00e9r\u00e9mie Lumbroso","raw_affiliation_strings":["Princeton University, Department of Computer Science"],"affiliations":[{"raw_affiliation_string":"Princeton University, Department of Computer Science","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5074815438"],"corresponding_institution_ids":["https://openalex.org/I20089843"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.02573099,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"25","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","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"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","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":0.998199999332428,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/enumeration","display_name":"Enumeration","score":0.8834346532821655},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6366719603538513},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4572988450527191},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4540853798389435},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4434199035167694},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.44000017642974854},{"id":"https://openalex.org/keywords/rule-based-machine-translation","display_name":"Rule-based machine translation","score":0.4251541793346405},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.41543352603912354},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40802890062332153},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3484535217285156},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08376085758209229},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07777395844459534}],"concepts":[{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.8834346532821655},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6366719603538513},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4572988450527191},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4540853798389435},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4434199035167694},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.44000017642974854},{"id":"https://openalex.org/C53893814","wikidata":"https://www.wikidata.org/wiki/Q7378909","display_name":"Rule-based machine translation","level":2,"score":0.4251541793346405},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.41543352603912354},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40802890062332153},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3484535217285156},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08376085758209229},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07777395844459534}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.37236/6431","is_oa":true,"landing_page_url":"https://doi.org/10.37236/6431","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v25i4p47/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1608.01465","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1608.01465","pdf_url":"https://arxiv.org/pdf/1608.01465","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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"},{"id":"mag:2482503862","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1608.01465.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1608.01465","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1608.01465","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.37236/6431","is_oa":true,"landing_page_url":"https://doi.org/10.37236/6431","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v25i4p47/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2482503862.pdf","grobid_xml":"https://content.openalex.org/works/W2482503862.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W137750514","https://openalex.org/W219446931","https://openalex.org/W1514126475","https://openalex.org/W1612141993","https://openalex.org/W1975206347","https://openalex.org/W1982202832","https://openalex.org/W1996896896","https://openalex.org/W1997722359","https://openalex.org/W2015945630","https://openalex.org/W2035160364","https://openalex.org/W2039945037","https://openalex.org/W2068151126","https://openalex.org/W2077836627","https://openalex.org/W2105085476","https://openalex.org/W2106818977","https://openalex.org/W2144047548","https://openalex.org/W2153980238","https://openalex.org/W2280812408","https://openalex.org/W2340541605","https://openalex.org/W2504074656","https://openalex.org/W2771394889","https://openalex.org/W2964019224"],"related_works":["https://openalex.org/W2999064656","https://openalex.org/W2952233599","https://openalex.org/W1560723985","https://openalex.org/W2141499931","https://openalex.org/W1997570254","https://openalex.org/W2011867417","https://openalex.org/W1838738933","https://openalex.org/W2516915198","https://openalex.org/W2788852080","https://openalex.org/W2025508918","https://openalex.org/W2499446130","https://openalex.org/W2040494696","https://openalex.org/W2463730576","https://openalex.org/W1665311938","https://openalex.org/W2511773204","https://openalex.org/W2610574361","https://openalex.org/W2963402742","https://openalex.org/W2032929335","https://openalex.org/W2884905387","https://openalex.org/W1525542311"],"abstract_inverted_index":{"Forbidden":[0],"characterizations":[1,17],"may":[2],"sometimes":[3],"be":[4,144,156],"the":[5,29,57,62,67,103,113,135,157],"most":[6],"natural":[7,136],"way":[8],"to":[9,22,51,139,145],"describe":[10],"families":[11],"of":[12,31,76,83,119,159],"graphs,":[13],"and":[14,33,36,69,81,88,124],"yet":[15],"these":[16],"are":[18],"usually":[19],"very":[20],"hard":[21],"exploit":[23],"for":[24,72],"enumerative":[25],"purposes.By":[26],"building":[27],"on":[28],"work":[30],"Gioan":[32],"Paul":[34],"(2012)":[35],"Chauve":[37],"et":[38],"al.(2014),":[39],"we":[40,46,115],"show":[41],"a":[42,48,73],"methodology":[43,130],"by":[44,112],"which":[45,149],"constrain":[47],"split-decomposition":[49,147],"tree":[50],"avoid":[52],"certain":[53,91,151],"patterns,":[54],"thereby":[55],"avoiding":[56],"corresponding":[58],"induced":[59],"subgraphs":[60],"in":[61,99],"original":[63],"graph.We":[64],"thus":[65],"provide":[66,116],"grammars":[68,114],"full":[70],"enumeration":[71,94],"wide":[74],"set":[75],"graph":[77],"classes:":[78],"ptolemaic,":[79],"block,":[80],"variants":[82],"cactus":[84],"graphs":[85],"(2,3-cacti,":[86],"3-cacti":[87],"4-cacti).":[89],"In":[90],"cases,":[92,101],"no":[93],"was":[95],"known":[96],"(ptolemaic,":[97],"4-cacti);":[98],"other":[100],"although":[102],"enumerations":[104],"were":[105],"known,":[106],"an":[107],"abundant":[108],"potential":[109],"is":[110],"unlocked":[111],"(in":[117],"terms":[118],"asymptotic":[120],"analysis,":[121],"random":[122],"generation,":[123],"parameter":[125],"analyses,":[126],"etc.).We":[127],"believe":[128],"this":[129],"here":[131],"shows":[132],"its":[133,141],"potential;":[134],"next":[137],"step":[138],"develop":[140],"reach":[142],"would":[143],"study":[146],"trees":[148],"contain":[150],"prime":[152],"nodes.":[153],"This":[154],"will":[155],"object":[158],"future":[160],"work.":[161]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}