{"id":"https://openalex.org/W2796712670","doi":"https://doi.org/10.1002/1097-0118(200010)35:2<69::aid-jgt1>3.0.co;2-i","title":"Onk-ordered graphs","display_name":"Onk-ordered graphs","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2796712670","doi":"https://doi.org/10.1002/1097-0118(200010)35:2<69::aid-jgt1>3.0.co;2-i","mag":"2796712670"},"language":"en","primary_location":{"id":"doi:10.1002/1097-0118(200010)35:2<69::aid-jgt1>3.0.co;2-i","is_oa":false,"landing_page_url":"https://doi.org/10.1002/1097-0118(200010)35:2<69::aid-jgt1>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/A5103342231","display_name":"Jill R. Faudree","orcid":null},"institutions":[{"id":"https://openalex.org/I141472210","display_name":"University of Alaska Fairbanks","ror":"https://ror.org/01j7nq853","country_code":"US","type":"education","lineage":["https://openalex.org/I141472210"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jill R. Faudree","raw_affiliation_strings":["University of Alaska Fairbanks, Fairbanks, AK 99775"],"affiliations":[{"raw_affiliation_string":"University of Alaska Fairbanks, Fairbanks, AK 99775","institution_ids":["https://openalex.org/I141472210"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109469173","display_name":"Ralph J. Faudree","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":"Ralph J. Faudree","raw_affiliation_strings":["University of Memphis, Memphis, TN 38152"],"affiliations":[{"raw_affiliation_string":"University of Memphis, Memphis, TN 38152","institution_ids":["https://openalex.org/I94658018"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077689134","display_name":"Ronald J. Gould","orcid":"https://orcid.org/0000-0003-0040-9511"},"institutions":[{"id":"https://openalex.org/I150468666","display_name":"Emory University","ror":"https://ror.org/03czfpz43","country_code":"US","type":"education","lineage":["https://openalex.org/I150468666"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ronald J. Gould","raw_affiliation_strings":["Emory University Atlanta, GA 30322"],"affiliations":[{"raw_affiliation_string":"Emory University Atlanta, GA 30322","institution_ids":["https://openalex.org/I150468666"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060263835","display_name":"Michael S. Jacobson","orcid":"https://orcid.org/0000-0003-2220-8622"},"institutions":[{"id":"https://openalex.org/I142740786","display_name":"University of Louisville","ror":"https://ror.org/01ckdn478","country_code":"US","type":"education","lineage":["https://openalex.org/I142740786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael S. Jacobson","raw_affiliation_strings":["University of Louisville, Louisville, KY 40292"],"affiliations":[{"raw_affiliation_string":"University of Louisville, Louisville, KY 40292","institution_ids":["https://openalex.org/I142740786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007498176","display_name":"Linda Lesniak","orcid":"https://orcid.org/0000-0001-7409-6437"},"institutions":[{"id":"https://openalex.org/I177880774","display_name":"Drew University","ror":"https://ror.org/04gds4h28","country_code":"US","type":"education","lineage":["https://openalex.org/I177880774"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Linda Lesniak","raw_affiliation_strings":["Drew University Madison, NJ 07940"],"affiliations":[{"raw_affiliation_string":"Drew University Madison, NJ 07940","institution_ids":["https://openalex.org/I177880774"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5103342231"],"corresponding_institution_ids":["https://openalex.org/I141472210"],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":0.3807682,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.72244352,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"35","issue":"2","first_page":"69","last_page":"82"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9916999936103821,"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":0.9614999890327454,"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":0.8319096565246582},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7837755084037781},{"id":"https://openalex.org/keywords/hamiltonian-path","display_name":"Hamiltonian path","score":0.6582014560699463},{"id":"https://openalex.org/keywords/wheel-graph","display_name":"Wheel graph","score":0.6515077352523804},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5254501700401306},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.48171883821487427},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4463309049606323},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.38757216930389404},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.2080262005329132}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8319096565246582},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7837755084037781},{"id":"https://openalex.org/C86524685","wikidata":"https://www.wikidata.org/wiki/Q273037","display_name":"Hamiltonian path","level":3,"score":0.6582014560699463},{"id":"https://openalex.org/C148364342","wikidata":"https://www.wikidata.org/wiki/Q948887","display_name":"Wheel graph","level":5,"score":0.6515077352523804},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5254501700401306},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.48171883821487427},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4463309049606323},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.38757216930389404},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.2080262005329132},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/1097-0118(200010)35:2<69::aid-jgt1>3.0.co;2-i","is_oa":false,"landing_page_url":"https://doi.org/10.1002/1097-0118(200010)35:2<69::aid-jgt1>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":[{"score":0.75,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1510730180","https://openalex.org/W1971910070","https://openalex.org/W1977636084","https://openalex.org/W1995948812","https://openalex.org/W2035089435","https://openalex.org/W2055970894","https://openalex.org/W2081943295","https://openalex.org/W4230023436","https://openalex.org/W4245518162"],"related_works":["https://openalex.org/W2064737922","https://openalex.org/W2006315978","https://openalex.org/W2280498755","https://openalex.org/W4294946095","https://openalex.org/W2383344953","https://openalex.org/W2316246740","https://openalex.org/W2059609630","https://openalex.org/W2611288326","https://openalex.org/W1978219832","https://openalex.org/W2319833372"],"abstract_inverted_index":{"Ng":[0],"and":[1,73],"Schultz":[2],"[J":[3],"Graph":[4,92],"Theory":[5,93],"1":[6],"(6),":[7],"45\u201357]":[8],"introduced":[9],"the":[10,39,42,45,49],"idea":[11],"of":[12,30,41,67],"cycle":[13,36,50],"orderability.":[14],"For":[15],"a":[16,20,35,53,79],"positive":[17],"integer":[18],"k,":[19],"graph":[21,80],"G":[22,57],"is":[23,34,51,58,81],"k-ordered":[24,62,82],"if":[25],"for":[26,70],"every":[27],"ordered":[28],"sequence":[29,43],"k":[31],"vertices,":[32],"there":[33],"that":[37,77],"encounters":[38],"vertices":[40,72],"in":[44],"given":[46],"order.":[47],"If":[48],"also":[52],"Hamiltonian":[54],"cycle,":[55],"then":[56],"said":[59],"to":[60],"be":[61],"Hamiltonian.":[63,83],"We":[64],"give":[65],"sum":[66],"degree":[68],"conditions":[69,76],"nonadjacent":[71],"neighborhood":[74],"union":[75],"imply":[78],"\u00a9":[84],"2000":[85,96],"John":[86],"Wiley":[87],"&":[88],"Sons,":[89],"Inc.":[90],"J":[91],"35:":[94],"69\u201382,":[95]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2018-04-24T00:00:00"}