{"id":"https://openalex.org/W2046502297","doi":"https://doi.org/10.1002/jgt.3190170111","title":"Large <i>P</i><sub>4</sub>\u2010free graphs with bounded degree","display_name":"Large <i>P</i><sub>4</sub>\u2010free graphs with bounded degree","publication_year":1993,"publication_date":"1993-03-01","ids":{"openalex":"https://openalex.org/W2046502297","doi":"https://doi.org/10.1002/jgt.3190170111","mag":"2046502297"},"language":"en","primary_location":{"id":"doi:10.1002/jgt.3190170111","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190170111","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/A5109160122","display_name":"Myung Sook Chung","orcid":null},"institutions":[{"id":"https://openalex.org/I2801919071","display_name":"University of Illinois System","ror":"https://ror.org/05e94g991","country_code":"US","type":"education","lineage":["https://openalex.org/I2801919071"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Myung S. Chung","raw_affiliation_strings":["University of Illinois Urbana, Illinois","UNIVERSITY OF ILLINOIS, URBANA, ILLINOIS"],"affiliations":[{"raw_affiliation_string":"University of Illinois Urbana, Illinois","institution_ids":["https://openalex.org/I2801919071"]},{"raw_affiliation_string":"UNIVERSITY OF ILLINOIS, URBANA, ILLINOIS","institution_ids":["https://openalex.org/I2801919071"]}]},{"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/I2801919071","display_name":"University of Illinois System","ror":"https://ror.org/05e94g991","country_code":"US","type":"education","lineage":["https://openalex.org/I2801919071"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Douglas B. West","raw_affiliation_strings":["University of Illinois Urbana, Illinois","UNIVERSITY OF ILLINOIS, URBANA, ILLINOIS"],"affiliations":[{"raw_affiliation_string":"University of Illinois Urbana, Illinois","institution_ids":["https://openalex.org/I2801919071"]},{"raw_affiliation_string":"UNIVERSITY OF ILLINOIS, URBANA, ILLINOIS","institution_ids":["https://openalex.org/I2801919071"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109160122"],"corresponding_institution_ids":["https://openalex.org/I2801919071"],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":0.5085,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.63953626,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"17","issue":"1","first_page":"109","last_page":"116"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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":0.9998999834060669,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9991999864578247,"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/combinatorics","display_name":"Combinatorics","score":0.907494068145752},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8279839754104614},{"id":"https://openalex.org/keywords/induced-subgraph","display_name":"Induced subgraph","score":0.5955092906951904},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.5570326447486877},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5564139485359192},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5072435736656189},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4984123706817627},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48877808451652527},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.43567079305648804}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.907494068145752},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8279839754104614},{"id":"https://openalex.org/C2778012994","wikidata":"https://www.wikidata.org/wiki/Q24743362","display_name":"Induced subgraph","level":4,"score":0.5955092906951904},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.5570326447486877},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5564139485359192},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5072435736656189},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4984123706817627},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48877808451652527},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.43567079305648804},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/jgt.3190170111","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190170111","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":[{"id":"https://openalex.org/F4320332222","display_name":"University of Illinois at Urbana-Champaign","ror":"https://ror.org/047426m28"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1484040084","https://openalex.org/W1510730180","https://openalex.org/W2119003746","https://openalex.org/W2143327390"],"related_works":["https://openalex.org/W2489339695","https://openalex.org/W2949735222","https://openalex.org/W4300919538","https://openalex.org/W4299570239","https://openalex.org/W2167462019","https://openalex.org/W1979242696","https://openalex.org/W1581957840","https://openalex.org/W2951550838","https://openalex.org/W4320022211","https://openalex.org/W2071364952"],"abstract_inverted_index":{"Abstract":[0],"Let":[1],"ex":[2],"*":[3],"(":[4],"D":[5,22,91,101,104],";":[6],"H":[7,38,56],")":[8],"denote":[9],"the":[10,58,67,74],"maximum":[11,20,89],"number":[12,94],"of":[13,43],"edges":[14],"in":[15,45],"a":[16,40,82],"connected":[17,83],"graph":[18,70,87],"with":[19,88],"degree":[21,90],"and":[23,52,92],"no":[24],"induced":[25],"subgraph":[26],"isomorphic":[27],"to":[28],"H.":[29],"We":[30],"prove":[31,65],"that":[32,66],"this":[33],"is":[34,39,57,73,81],"finite":[35],"only":[36],"when":[37],"disjoint":[41],"union":[42],"paths,m":[44],"which":[46],"case":[47],"we":[48,64],"provide":[49],"crude":[50],"upper":[51],"lower":[53],"bounds.":[54],"When":[55],"four\u2010vertex":[59],"path":[60],"P":[61,84],"4":[62,85],",":[63],"complete":[68],"bipartite":[69],"K":[71],"D,D":[72],"unique":[75],"extremal":[76],"graph.":[77],"Furthermore,":[78],"if":[79],"G":[80,97],"\u2010free":[86],"clique":[93],"\u03c9,":[95],"then":[96],"has":[98],"at":[99],"most":[100],"2":[102],"\u2212":[103,106],"(\u03c9":[105],"2)/2":[107],"edges.":[108],"\u00a9":[109],"1993":[110],"John":[111],"Wiley":[112],"&amp;":[113],"Sons,":[114],"Inc.":[115]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
