{"id":"https://openalex.org/W2029816373","doi":"https://doi.org/10.1002/(sici)1097-0118(199701)24:1<59::aid-jgt7>3.0.co;2-i","title":"Special monochromatic trees in two-colored complete graphs","display_name":"Special monochromatic trees in two-colored complete graphs","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W2029816373","doi":"https://doi.org/10.1002/(sici)1097-0118(199701)24:1<59::aid-jgt7>3.0.co;2-i","mag":"2029816373"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1097-0118(199701)24:1<59::aid-jgt7>3.0.co;2-i","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0118(199701)24:1<59::aid-jgt7>3.0.co;2-i","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/A5042737832","display_name":"Guantao Chen","orcid":"https://orcid.org/0000-0002-3118-6632"},"institutions":[{"id":"https://openalex.org/I181565077","display_name":"Georgia State University","ror":"https://ror.org/03qt6ba18","country_code":"US","type":"education","lineage":["https://openalex.org/I181565077"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Guantao Chen","raw_affiliation_strings":["Department of Mathematics and Computer Science, Georgia State University, Atlanta, GA 30303"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Georgia State University, Atlanta, GA 30303","institution_ids":["https://openalex.org/I181565077"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057185425","display_name":"R. H. Schelp","orcid":null},"institutions":[{"id":"https://openalex.org/I94658018","display_name":"University of Memphis","ror":"https://ror.org/01cq23130","country_code":"US","type":"education","lineage":["https://openalex.org/I94658018"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Richard H. Schelp","raw_affiliation_strings":["Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152","institution_ids":["https://openalex.org/I94658018"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113605894","display_name":"Lcaron","orcid":null},"institutions":[{"id":"https://openalex.org/I12097938","display_name":"West Virginia University","ror":"https://ror.org/011vxgd24","country_code":"US","type":"education","lineage":["https://openalex.org/I12097938"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"?ubom\ufffdr ?olt\ufffds","raw_affiliation_strings":["Department of Mathematics, West Virginia University, Morgantown, WV 26506\u20106310"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, West Virginia University, Morgantown, WV 26506\u20106310","institution_ids":["https://openalex.org/I12097938"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5042737832"],"corresponding_institution_ids":["https://openalex.org/I181565077"],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16150728,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"24","issue":"1","first_page":"59","last_page":"67"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9470999836921692,"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":0.9470999836921692,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9240000247955322,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.9017964601516724},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8025761842727661},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6747590899467468},{"id":"https://openalex.org/keywords/monochromatic-color","display_name":"Monochromatic color","score":0.5065513849258423},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5005691051483154},{"id":"https://openalex.org/keywords/wheel-graph","display_name":"Wheel graph","score":0.44642871618270874},{"id":"https://openalex.org/keywords/neighbourhood","display_name":"Neighbourhood (mathematics)","score":0.41179537773132324},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36103537678718567},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.24113616347312927},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.0930311381816864},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07926830649375916}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.9017964601516724},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8025761842727661},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6747590899467468},{"id":"https://openalex.org/C40833965","wikidata":"https://www.wikidata.org/wiki/Q6901438","display_name":"Monochromatic color","level":2,"score":0.5065513849258423},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5005691051483154},{"id":"https://openalex.org/C148364342","wikidata":"https://www.wikidata.org/wiki/Q948887","display_name":"Wheel graph","level":5,"score":0.44642871618270874},{"id":"https://openalex.org/C161677786","wikidata":"https://www.wikidata.org/wiki/Q2478475","display_name":"Neighbourhood (mathematics)","level":2,"score":0.41179537773132324},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36103537678718567},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.24113616347312927},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0930311381816864},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07926830649375916},{"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/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/(sici)1097-0118(199701)24:1<59::aid-jgt7>3.0.co;2-i","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0118(199701)24:1<59::aid-jgt7>3.0.co;2-i","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":0,"referenced_works":[],"related_works":["https://openalex.org/W2509614667","https://openalex.org/W2963293152","https://openalex.org/W4302199713","https://openalex.org/W4282026465","https://openalex.org/W2626027010","https://openalex.org/W2902222102","https://openalex.org/W2988746064","https://openalex.org/W2045621845","https://openalex.org/W2157163513","https://openalex.org/W4212886148"],"abstract_inverted_index":{"For":[0],"a":[1,5,13,16,61,73,86],"positive":[2],"integer":[3],"k,":[4],"set":[6],"of":[7,23,26,51,63,88],"k":[8,32],"+":[9],"1":[10],"vertices":[11,28,68],"in":[12,69,75],"graph":[14,49],"is":[15,29],"k-cluster":[17,74],"if":[18],"the":[19,70],"difference":[20],"between":[21],"degrees":[22],"any":[24,36,82],"two":[25],"its":[27,58],"at":[30,40],"most":[31],"\u2212":[33],"1.":[34],"Given":[35],"tree":[37,83],"T":[38,64,84],"with":[39],"least":[41],"k3":[42],"edges,":[43],"we":[44],"show":[45],"that":[46,66],"for":[47,81],"each":[48],"G":[50,56],"sufficiently":[52],"large":[53],"order,":[54],"either":[55],"or":[57],"complement":[59],"contains":[60],"copy":[62,71],"such":[65],"some":[67],"form":[72],"G.":[76],"The":[77],"same":[78],"conclusion":[79],"holds":[80],"having":[85],"vertex":[87],"degree":[89],"more":[90],"than":[91],"k.":[92],"\u00a9":[93],"1997":[94],"John":[95],"Wiley":[96],"&":[97],"Sons,":[98],"Inc.":[99]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
