{"id":"https://openalex.org/W7163751750","doi":"https://doi.org/10.1007/978-3-032-27732-9_9","title":"Vertex-Critical Graphs in\u00a0Subfamilies of\u00a0$$(P_4+\\ell P_1)$$-Free Graphs","display_name":"Vertex-Critical Graphs in\u00a0Subfamilies of\u00a0$$(P_4+\\ell P_1)$$-Free Graphs","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7163751750","doi":"https://doi.org/10.1007/978-3-032-27732-9_9"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-032-27732-9_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-032-27732-9_9","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015525363","display_name":"Iain Beaton","orcid":"https://orcid.org/0000-0002-5464-8166"},"institutions":[{"id":"https://openalex.org/I92688161","display_name":"Acadia University","ror":"https://ror.org/00839we02","country_code":"CA","type":"education","lineage":["https://openalex.org/I92688161"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Iain Beaton","raw_affiliation_strings":["Acadia University, Wolfville, NS, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Acadia University, Wolfville, NS, Canada","institution_ids":["https://openalex.org/I92688161"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5138051800","display_name":"Ben Cameron","orcid":null},"institutions":[{"id":"https://openalex.org/I22188714","display_name":"University of Prince Edward Island","ror":"https://ror.org/02xh9x144","country_code":"CA","type":"education","lineage":["https://openalex.org/I22188714"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Ben Cameron","raw_affiliation_strings":["University of Prince Edward Island, Charlottetown, PE, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Prince Edward Island, Charlottetown, PE, Canada","institution_ids":["https://openalex.org/I22188714"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5138051800"],"corresponding_institution_ids":["https://openalex.org/I22188714"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.96569647,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"118","last_page":"130"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.6699000000953674,"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":0.6699000000953674,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.08699999749660492,"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/T10849","display_name":"Finite Group Theory Research","score":0.04780000075697899,"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/graph-theory","display_name":"Graph theory","score":0.33869999647140503},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3303999900817871},{"id":"https://openalex.org/keywords/indifference-graph","display_name":"Indifference graph","score":0.2854999899864197},{"id":"https://openalex.org/keywords/graph-product","display_name":"Graph product","score":0.258899986743927},{"id":"https://openalex.org/keywords/modular-decomposition","display_name":"Modular decomposition","score":0.24570000171661377}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7246000170707703},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4625000059604645},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.33869999647140503},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3303999900817871},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3183000087738037},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3012000024318695},{"id":"https://openalex.org/C74133993","wikidata":"https://www.wikidata.org/wiki/Q3115472","display_name":"Indifference graph","level":3,"score":0.2854999899864197},{"id":"https://openalex.org/C68103157","wikidata":"https://www.wikidata.org/wiki/Q569347","display_name":"Graph product","level":5,"score":0.258899986743927},{"id":"https://openalex.org/C187407849","wikidata":"https://www.wikidata.org/wiki/Q6889712","display_name":"Modular decomposition","level":5,"score":0.24570000171661377},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.2353000044822693}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-032-27732-9_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-032-27732-9_9","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W55887128","https://openalex.org/W1579049696","https://openalex.org/W1695953772","https://openalex.org/W1966769222","https://openalex.org/W1969119072","https://openalex.org/W1973199140","https://openalex.org/W1989358594","https://openalex.org/W2022488583","https://openalex.org/W2087567316","https://openalex.org/W2089191641","https://openalex.org/W2089686090","https://openalex.org/W2095689360","https://openalex.org/W2102669784","https://openalex.org/W2132073309","https://openalex.org/W2282776087","https://openalex.org/W2401610261","https://openalex.org/W2429536804","https://openalex.org/W2509515948","https://openalex.org/W2938209459","https://openalex.org/W2963705726","https://openalex.org/W3008343249","https://openalex.org/W3198462604","https://openalex.org/W4205858252","https://openalex.org/W4225363091","https://openalex.org/W4282924791","https://openalex.org/W4324130649","https://openalex.org/W4328142456","https://openalex.org/W4372233695","https://openalex.org/W4385678927","https://openalex.org/W4389067604","https://openalex.org/W4389478420","https://openalex.org/W4392144194","https://openalex.org/W4392197633","https://openalex.org/W4392238446","https://openalex.org/W4396904930","https://openalex.org/W4409252201","https://openalex.org/W4411329632","https://openalex.org/W4412647858","https://openalex.org/W4412863170","https://openalex.org/W7140129333"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-08T06:17:55.609145","created_date":"2026-06-07T00:00:00"}
