{"id":"https://openalex.org/W2733323637","doi":"https://doi.org/10.1007/s11083-017-9430-7","title":"Well-Quasi-Ordering versus Clique-Width: New Results on Bigenic Classes","display_name":"Well-Quasi-Ordering versus Clique-Width: New Results on Bigenic Classes","publication_year":2017,"publication_date":"2017-06-29","ids":{"openalex":"https://openalex.org/W2733323637","doi":"https://doi.org/10.1007/s11083-017-9430-7","mag":"2733323637"},"language":"en","primary_location":{"id":"doi:10.1007/s11083-017-9430-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11083-017-9430-7","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs11083-017-9430-7.pdf","source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Order","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007%2Fs11083-017-9430-7.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085663992","display_name":"Konrad K. Dabrowski","orcid":"https://orcid.org/0000-0001-9515-6945"},"institutions":[{"id":"https://openalex.org/I190082696","display_name":"Durham University","ror":"https://ror.org/01v29qb04","country_code":"GB","type":"education","lineage":["https://openalex.org/I190082696"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Konrad K. Dabrowski","raw_affiliation_strings":["School of Engineering and Computing Sciences, Durham University, Science Laboratories, South Road, Durham, DH1 3LE, UK"],"affiliations":[{"raw_affiliation_string":"School of Engineering and Computing Sciences, Durham University, Science Laboratories, South Road, Durham, DH1 3LE, UK","institution_ids":["https://openalex.org/I190082696"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081581015","display_name":"Vadim Lozin","orcid":"https://orcid.org/0000-0003-2464-7389"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Vadim V. Lozin","raw_affiliation_strings":["Mathematics Institute, University of Warwick, Coventry, CV4 7AL, UK"],"affiliations":[{"raw_affiliation_string":"Mathematics Institute, University of Warwick, Coventry, CV4 7AL, UK","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027487467","display_name":"Dani\u00ebl Paulusma","orcid":"https://orcid.org/0000-0001-5945-9287"},"institutions":[{"id":"https://openalex.org/I190082696","display_name":"Durham University","ror":"https://ror.org/01v29qb04","country_code":"GB","type":"education","lineage":["https://openalex.org/I190082696"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Dani\u00ebl Paulusma","raw_affiliation_strings":["School of Engineering and Computing Sciences, Durham University, Science Laboratories, South Road, Durham, DH1 3LE, UK"],"affiliations":[{"raw_affiliation_string":"School of Engineering and Computing Sciences, Durham University, Science Laboratories, South Road, Durham, DH1 3LE, UK","institution_ids":["https://openalex.org/I190082696"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5085663992"],"corresponding_institution_ids":["https://openalex.org/I190082696"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.9479,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.77571808,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"35","issue":"2","first_page":"253","last_page":"274"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998000264167786,"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":0.9998000264167786,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9987000226974487,"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"}},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9962999820709229,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8023262023925781},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7918531894683838},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.7467771768569946},{"id":"https://openalex.org/keywords/induced-subgraph","display_name":"Induced subgraph","score":0.6649914979934692},{"id":"https://openalex.org/keywords/induced-subgraph-isomorphism-problem","display_name":"Induced subgraph isomorphism problem","score":0.544198215007782},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5344125032424927},{"id":"https://openalex.org/keywords/clique","display_name":"Clique","score":0.5226256847381592},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.44123539328575134},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43913209438323975},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.30411720275878906},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11611989140510559},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.05159187316894531}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8023262023925781},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7918531894683838},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7467771768569946},{"id":"https://openalex.org/C2778012994","wikidata":"https://www.wikidata.org/wiki/Q24743362","display_name":"Induced subgraph","level":4,"score":0.6649914979934692},{"id":"https://openalex.org/C191241153","wikidata":"https://www.wikidata.org/wiki/Q6027240","display_name":"Induced subgraph isomorphism problem","level":5,"score":0.544198215007782},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5344125032424927},{"id":"https://openalex.org/C2777035058","wikidata":"https://www.wikidata.org/wiki/Q1662634","display_name":"Clique","level":2,"score":0.5226256847381592},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.44123539328575134},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43913209438323975},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.30411720275878906},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11611989140510559},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.05159187316894531},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s11083-017-9430-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11083-017-9430-7","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs11083-017-9430-7.pdf","source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Order","raw_type":"journal-article"},{"id":"pmh:oai:dro.dur.ac.uk.OAI2:21850","is_oa":true,"landing_page_url":"http://dro.dur.ac.uk/21850/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196258","display_name":"Durham Research Online (Durham University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I190082696","host_organization_name":"Durham University","host_organization_lineage":["https://openalex.org/I190082696"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Order, 2018, Vol.35(2), pp.253-274 [Peer Reviewed Journal]","raw_type":"Article"},{"id":"pmh:oai:wrap.warwick.ac.uk:88456","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400665","display_name":"Warwick Research Archive Portal (University of Warwick)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39555362","host_organization_name":"University of Warwick","host_organization_lineage":["https://openalex.org/I39555362"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},{"id":"pmh:oai:durham-repository.worktribe.com:1357922","is_oa":true,"landing_page_url":"https://durham-repository.worktribe.com/output/1357922","pdf_url":null,"source":{"id":"https://openalex.org/S4306400188","display_name":"Durham Research Online (Durham University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I190082696","host_organization_name":"Durham University","host_organization_lineage":["https://openalex.org/I190082696"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"publishedVersion"}],"best_oa_location":{"id":"doi:10.1007/s11083-017-9430-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11083-017-9430-7","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs11083-017-9430-7.pdf","source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Order","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1376760675","display_name":null,"funder_award_id":"EP/K025090/1","funder_id":"https://openalex.org/F4320319993","funder_display_name":"Leverhulme Trust"},{"id":"https://openalex.org/G1508931271","display_name":"Detecting Induced Graph Patterns","funder_award_id":"EP/K025090/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G1857028073","display_name":null,"funder_award_id":"RPG-2016-258","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G410877973","display_name":null,"funder_award_id":"EP/K025090","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G51464283","display_name":null,"funder_award_id":"RPG-2016-258","funder_id":"https://openalex.org/F4320319993","funder_display_name":"Leverhulme Trust"},{"id":"https://openalex.org/G6191833929","display_name":null,"funder_award_id":"EP/K025090/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6875527263","display_name":null,"funder_award_id":"EP/L020408/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8919340968","display_name":"Stability in graphs: methodologies and related problems","funder_award_id":"EP/L020408/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320319993","display_name":"Leverhulme Trust","ror":"https://ror.org/012mzw131"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2733323637.pdf","grobid_xml":"https://content.openalex.org/works/W2733323637.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W10105891","https://openalex.org/W52229496","https://openalex.org/W182050876","https://openalex.org/W1493930654","https://openalex.org/W1546876109","https://openalex.org/W1967174286","https://openalex.org/W1977950997","https://openalex.org/W1993328543","https://openalex.org/W2007843697","https://openalex.org/W2008361472","https://openalex.org/W2020139369","https://openalex.org/W2036740975","https://openalex.org/W2040593601","https://openalex.org/W2053991811","https://openalex.org/W2059372025","https://openalex.org/W2063951771","https://openalex.org/W2067016370","https://openalex.org/W2070790034","https://openalex.org/W2076508310","https://openalex.org/W2103512591","https://openalex.org/W2110917011","https://openalex.org/W2116334057","https://openalex.org/W2122172628","https://openalex.org/W2147653456","https://openalex.org/W2513651378","https://openalex.org/W2623827933","https://openalex.org/W2724945753","https://openalex.org/W2949284609","https://openalex.org/W2963554170","https://openalex.org/W2964039793","https://openalex.org/W2983930721"],"related_works":["https://openalex.org/W2789636091","https://openalex.org/W2282273380","https://openalex.org/W4296570398","https://openalex.org/W1498460077","https://openalex.org/W2076040942","https://openalex.org/W2113826940","https://openalex.org/W2367468405","https://openalex.org/W2952985052","https://openalex.org/W4300575715","https://openalex.org/W2288163449"],"abstract_inverted_index":{"Daligault,":[0],"Rao":[1],"and":[2,22,54,88,94],"Thomass\u00e9":[3],"asked":[4],"whether":[5],"a":[6,77,132],"hereditary":[7],"class":[8],"of":[9,44,73,90,102,108,134,139,143],"graphs":[10,74,85],"well-quasi-ordered":[11,87],"by":[12,34,76,113],"the":[13,42,50,61,127,146],"induced":[14,38,48,80,100,116],"subgraph":[15,81,101],"relation":[16],"has":[17],"bounded":[18,91],"clique-width.":[19],"Lozin,":[20],"Razgon":[21],"Zamaraev":[23],"recently":[24],"showed":[25],"that":[26,57],"this":[27,59],"is":[28,63,67,98],"not":[29],"true":[30],"for":[31,71],"classes":[32,72,107],"defined":[33,75,112],"infinitely":[35],"many":[36,46],"forbidden":[37,47,79,115],"subgraphs.":[39],"However,":[40],"in":[41,58,123],"case":[43,60],"finitely":[45],"subgraphs":[49],"question":[51],"remains":[52],"open":[53,121],"we":[55,130],"conjecture":[56,66],"answer":[62],"positive.":[64],"The":[65],"known":[68],"to":[69],"hold":[70],"single":[78],"H,":[82],"as":[83],"such":[84],"are":[86,89,119],"clique-width":[92],"if":[93,96],"only":[95],"H":[97],"an":[99],"P":[103],"4.":[104],"For":[105],"bigenic":[106,140],"graphs,":[109],"i.e.":[110],"ones":[111],"two":[114],"subgraphs,":[117],"there":[118],"several":[120],"cases":[122],"both":[124],"classifications.":[125],"In":[126],"present":[128],"paper":[129],"obtain":[131],"number":[133],"new":[135],"results":[136],"on":[137],"well-quasi-orderability":[138],"classes,":[141],"each":[142],"which":[144],"supports":[145],"conjecture.":[147]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}