{"id":"https://openalex.org/W2081841880","doi":"https://doi.org/10.1002/jgt.3190110313","title":"Pancyclic and panconnected line graphs","display_name":"Pancyclic and panconnected line graphs","publication_year":1987,"publication_date":"1987-09-01","ids":{"openalex":"https://openalex.org/W2081841880","doi":"https://doi.org/10.1002/jgt.3190110313","mag":"2081841880"},"language":"en","primary_location":{"id":"doi:10.1002/jgt.3190110313","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190110313","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/A5023730720","display_name":"Abdelhamid Benhocine","orcid":null},"institutions":[{"id":"https://openalex.org/I4210108471","display_name":"Le Mans Universit\u00e9","ror":"https://ror.org/01mtcc283","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210108471"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Abdelhamid Benhocine","raw_affiliation_strings":["De\u0301partement De Mathe\u0301matiques Universite\u0301 Du Maine BP 535 72017 \u2014 LE MANS, France","D\u00e9partement De Math\u00e9matiques Universit\u00e9 Du Maine BP 535 72017 \u2014 LE MANS, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"De\u0301partement De Mathe\u0301matiques Universite\u0301 Du Maine BP 535 72017 \u2014 LE MANS, France","institution_ids":["https://openalex.org/I4210108471"]},{"raw_affiliation_string":"D\u00e9partement De Math\u00e9matiques Universit\u00e9 Du Maine BP 535 72017 \u2014 LE MANS, France","institution_ids":["https://openalex.org/I4210108471"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110003079","display_name":"Jean\u2010Luc Fouquet","orcid":null},"institutions":[{"id":"https://openalex.org/I4210108471","display_name":"Le Mans Universit\u00e9","ror":"https://ror.org/01mtcc283","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210108471"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean\u2010Luc Fouquet","raw_affiliation_strings":["De\u0301partement De Mathe\u0301matiques Universite\u0301 Du Maine BP 535 72017 \u2014 LE MANS, France","D\u00e9partement De Math\u00e9matiques Universit\u00e9 Du Maine BP 535 72017 \u2014 LE MANS, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"De\u0301partement De Mathe\u0301matiques Universite\u0301 Du Maine BP 535 72017 \u2014 LE MANS, France","institution_ids":["https://openalex.org/I4210108471"]},{"raw_affiliation_string":"D\u00e9partement De Math\u00e9matiques Universit\u00e9 Du Maine BP 535 72017 \u2014 LE MANS, France","institution_ids":["https://openalex.org/I4210108471"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023730720"],"corresponding_institution_ids":["https://openalex.org/I4210108471"],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":0.534,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.65549532,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"11","issue":"3","first_page":"385","last_page":"398"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9965000152587891,"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":0.9965000152587891,"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":0.988099992275238,"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/T11476","display_name":"Graph theory and applications","score":0.9807000160217285,"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":0.8722217082977295},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7636855244636536},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.6261279582977295},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5157668590545654},{"id":"https://openalex.org/keywords/bound-graph","display_name":"Bound graph","score":0.4787937104701996},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42702847719192505},{"id":"https://openalex.org/keywords/pancyclic-graph","display_name":"Pancyclic graph","score":0.42648768424987793},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.37050628662109375},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.3076872229576111},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.14420342445373535},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06734022498130798}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8722217082977295},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7636855244636536},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.6261279582977295},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5157668590545654},{"id":"https://openalex.org/C121134508","wikidata":"https://www.wikidata.org/wiki/Q4949882","display_name":"Bound graph","level":5,"score":0.4787937104701996},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42702847719192505},{"id":"https://openalex.org/C166911692","wikidata":"https://www.wikidata.org/wiki/Q7130424","display_name":"Pancyclic graph","level":5,"score":0.42648768424987793},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.37050628662109375},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.3076872229576111},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.14420342445373535},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06734022498130798},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/jgt.3190110313","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190110313","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W2005906639","https://openalex.org/W2083584217","https://openalex.org/W2115359934"],"related_works":["https://openalex.org/W2358075237","https://openalex.org/W2327248052","https://openalex.org/W2040301912","https://openalex.org/W3215173006","https://openalex.org/W4323362461","https://openalex.org/W3093154670","https://openalex.org/W2997687960","https://openalex.org/W2022650779","https://openalex.org/W2740235081","https://openalex.org/W2319833372"],"abstract_inverted_index":{"Abstract":[0],"Let":[1],"G":[2,15,35,52,60],"be":[3],"a":[4],"graph":[5,49],"of":[6,27,34,51,67],"order":[7],"n":[8,43,75],"\u2a7e":[9,21],"3.":[10],"We":[11,55],"prove":[12,57],"that":[13,58,63],"if":[14,59],"is":[16,36,53,61,72,79],"k":[17,20,28,40],"\u2010connected":[18],"(":[19],"2)":[22],"and":[23],"the":[24,47,64],"degree":[25,65],"sum":[26,66],"+":[29,41,44],"1":[30],"mutually":[31],"independent":[32],"vertices":[33,71],"greater":[37],"than":[38],"1/3(":[39],"1)(":[42],"1),":[45],"then":[46,77],"line":[48],"L(G)":[50,78],"pancyclic.":[54],"also":[56],"such":[62],"every":[68],"2":[69],"adjacent":[70],"at":[73],"least":[74],",":[76],"panconnected":[80],"with":[81],"some":[82],"exceptions.":[83]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
