{"id":"https://openalex.org/W2951284132","doi":"https://doi.org/10.1002/1097-0118(200006)34:2<180::aid-jgt7>3.0.co;2-l","title":"Multiple vertex coverings by specified induced subgraphs","display_name":"Multiple vertex coverings by specified induced subgraphs","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2951284132","doi":"https://doi.org/10.1002/1097-0118(200006)34:2<180::aid-jgt7>3.0.co;2-l","mag":"2951284132"},"language":"en","primary_location":{"id":"doi:10.1002/1097-0118(200006)34:2<180::aid-jgt7>3.0.co;2-l","is_oa":false,"landing_page_url":"https://doi.org/10.1002/1097-0118(200006)34:2<180::aid-jgt7>3.0.co;2-l","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","raw_type":"journal-article"},"type":"article","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/A5109427389","display_name":"Z. F\ufffdredi","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zolt\ufffdn F\ufffdredi","raw_affiliation_strings":["University of Illinois Urbana, Il. 61801"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois Urbana, Il. 61801","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079803922","display_name":"Dhruv Mubayi","orcid":"https://orcid.org/0000-0002-4709-8768"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Dhruv Mubayi","raw_affiliation_strings":["University of Illinois, Urbana, IL, 61801"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois, Urbana, IL, 61801","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017595199","display_name":"Douglas B. West","orcid":"https://orcid.org/0000-0001-8818-1667"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Douglas B. West","raw_affiliation_strings":["University of Illinois, Urbana, IL, 61801"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois, Urbana, IL, 61801","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5017595199","https://openalex.org/A5079803922"],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":1.3308,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.80625,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"34","issue":"2","first_page":"180","last_page":"190"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9988999962806702,"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"}},"topics":[{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9988999962806702,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9955999851226807,"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/T11476","display_name":"Graph theory and applications","score":0.9884999990463257,"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/combinatorics","display_name":"Combinatorics","score":0.8636501431465149},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8040496110916138},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5812241435050964},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5758053660392761},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4138893485069275}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8636501431465149},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8040496110916138},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5812241435050964},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5758053660392761},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4138893485069275}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/1097-0118(200006)34:2<180::aid-jgt7>3.0.co;2-l","is_oa":false,"landing_page_url":"https://doi.org/10.1002/1097-0118(200006)34:2<180::aid-jgt7>3.0.co;2-l","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W7523768","https://openalex.org/W1599335667","https://openalex.org/W1995280893","https://openalex.org/W1999491372","https://openalex.org/W2023556660","https://openalex.org/W2032107382"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"Given":[0],"graphs":[1],"H1,\u2026,":[2],"Hk,":[3],"let":[4],"f(H1,\u2026,":[5],"Hk)":[6],"be":[7],"the":[8,20],"minimum":[9],"order":[10],"of":[11,23],"a":[12],"graph":[13],"G":[14,26],"such":[15],"that":[16,32,51],"for":[17],"each":[18],"i,":[19],"induced":[21],"copies":[22],"Hi":[24],"in":[25],"cover":[27],"V(G).":[28],"We":[29,49,64],"prove":[30,50],"constructively":[31],"f(H1,":[33,52],"H2)":[34],"\u2264":[35],"2(n(H1)":[36],"+":[37,56,58],"n(H2)":[38],"\u2212":[39],"2);":[40],"equality":[41],"holds":[42],"when":[43],"H1":[44],"=":[45,47,54],"H2":[46],"Kn.":[48],"Kn)":[53,70],"n":[55,61],"2\u221a\u03b4(H1)n":[57],"O(1)":[59],"as":[60],"\u2192":[62],"\u221e.":[63],"also":[65],"determine":[66],"f(K1,":[67],"m":[68],"\u22121,":[69],"exactly.":[71],"\u00a9":[72],"2000":[73,84],"John":[74],"Wiley":[75],"&":[76],"Sons,":[77],"Inc.":[78],"J":[79],"Graph":[80],"Theory":[81],"34:":[82],"180\u2013190,":[83]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}