{"id":"https://openalex.org/W2023946084","doi":"https://doi.org/10.1002/jgt.3190130602","title":"A necessary and sufficient condition for connected, locally k\u2010connected k1,3\u2010free graphs to be k\u2010hamiltonian","display_name":"A necessary and sufficient condition for connected, locally k\u2010connected k1,3\u2010free graphs to be k\u2010hamiltonian","publication_year":1989,"publication_date":"1989-12-01","ids":{"openalex":"https://openalex.org/W2023946084","doi":"https://doi.org/10.1002/jgt.3190130602","mag":"2023946084"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190130602","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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5097507220","display_name":"Zhou Huai\u2010Lu","orcid":null},"institutions":[],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhou Huai\u2010Lu","raw_affiliation_strings":["The First Shanghai Instrument Electronic Industrial Institute Shanghai, China"],"affiliations":[{"raw_affiliation_string":"The First Shanghai Instrument Electronic Industrial Institute Shanghai, China","institution_ids":[]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5097507220"],"corresponding_institution_ids":[],"apc_list":{"value":3760,"currency":"USD","value_usd":3760,"provenance":"doaj"},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":1,"citation_normalized_percentile":{"value":0.293511,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":53,"max":61},"biblio":{"volume":"13","issue":"6","first_page":"651","last_page":"656"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9997,"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":0.9997,"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":0.9997,"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/T11476","display_name":"Graph theory and applications","score":0.9997,"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/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.589718},{"id":"https://openalex.org/keywords/strongly-connected-component","display_name":"Strongly connected component","score":0.4570314},{"id":"https://openalex.org/keywords/connectivity","display_name":"Connectivity","score":0.42627937}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8264403},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.74963474},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.70224017},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.589718},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5275302},{"id":"https://openalex.org/C38754835","wikidata":"https://www.wikidata.org/wiki/Q2003238","display_name":"Strongly connected component","level":2,"score":0.4570314},{"id":"https://openalex.org/C76444178","wikidata":"https://www.wikidata.org/wiki/Q72897900","display_name":"Connectivity","level":3,"score":0.42627937},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4149248},{"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":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190130602","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":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":3,"referenced_works":["https://openalex.org/W1484040084","https://openalex.org/W2069905179","https://openalex.org/W2162027667"],"related_works":["https://openalex.org/W938372727","https://openalex.org/W4390189596","https://openalex.org/W4379118151","https://openalex.org/W4363672051","https://openalex.org/W4319452415","https://openalex.org/W3189256254","https://openalex.org/W3161337494","https://openalex.org/W2384431448","https://openalex.org/W2188756358","https://openalex.org/W2025057636"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"prove":[2],"the":[3],"following":[4],"conjecture":[5],"of":[6],"Broersma":[7],"and":[8,23],"Veldman:":[9],"A":[10],"connected,":[11],"locally":[12],"k":[13,20,29],"\u2010connected":[14],"K":[15,33],"1,3":[16],"\u2010free":[17],"graph":[18],"is":[19,27],"\u2010hamiltonian":[21],"if":[22,25],"only":[24],"it":[26],"(":[28,32],"+":[30],"2)\u2010connected":[31],"\u2a7e":[34],"1).":[35]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2023946084","counts_by_year":[],"updated_date":"2024-12-10T22:54:41.045764","created_date":"2016-06-24"}