{"id":"https://openalex.org/W4224215392","doi":"https://doi.org/10.1080/09728600.2022.2059416","title":"Vertex pancyclicity over lexicographic products","display_name":"Vertex pancyclicity over lexicographic products","publication_year":2022,"publication_date":"2022-01-02","ids":{"openalex":"https://openalex.org/W4224215392","doi":"https://doi.org/10.1080/09728600.2022.2059416"},"language":"en","primary_location":{"id":"doi:10.1080/09728600.2022.2059416","is_oa":true,"landing_page_url":"https://doi.org/10.1080/09728600.2022.2059416","pdf_url":null,"source":{"id":"https://openalex.org/S2764899362","display_name":"AKCE International Journal of Graphs and Combinatorics","issn_l":"0972-8600","issn":["0972-8600","2543-3474"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AKCE International Journal of Graphs and Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1080/09728600.2022.2059416","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054446244","display_name":"Artchariya Muaengwaeng","orcid":null},"institutions":[{"id":"https://openalex.org/I158708052","display_name":"Chulalongkorn University","ror":"https://ror.org/028wp3y58","country_code":"TH","type":"education","lineage":["https://openalex.org/I158708052"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Artchariya Muaengwaeng","raw_affiliation_strings":["Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok, Thailand"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok, Thailand","institution_ids":["https://openalex.org/I158708052"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054717146","display_name":"Ratinan Boonklurb","orcid":"https://orcid.org/0000-0003-0189-7799"},"institutions":[{"id":"https://openalex.org/I158708052","display_name":"Chulalongkorn University","ror":"https://ror.org/028wp3y58","country_code":"TH","type":"education","lineage":["https://openalex.org/I158708052"]}],"countries":["TH"],"is_corresponding":true,"raw_author_name":"Ratinan Boonklurb","raw_affiliation_strings":["Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok, Thailand"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok, Thailand","institution_ids":["https://openalex.org/I158708052"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086610178","display_name":"Sirirat Singhun","orcid":"https://orcid.org/0000-0002-2519-9701"},"institutions":[{"id":"https://openalex.org/I58196637","display_name":"Ramkhamhaeng University","ror":"https://ror.org/00mrw8k38","country_code":"TH","type":"education","lineage":["https://openalex.org/I58196637"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Sirirat Singhun","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Ramkhamhaeng University, Bangkok, Thailand"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Ramkhamhaeng University, Bangkok, Thailand","institution_ids":["https://openalex.org/I58196637"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5054717146"],"corresponding_institution_ids":["https://openalex.org/I158708052"],"apc_list":{"value":1000,"currency":"GBP","value_usd":1226},"apc_paid":{"value":1000,"currency":"GBP","value_usd":1226},"fwci":0.3919,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.54084813,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"19","issue":"1","first_page":"79","last_page":"86"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9993000030517578,"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":0.9957000017166138,"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":0.8428626656532288},{"id":"https://openalex.org/keywords/lexicographical-order","display_name":"Lexicographical order","score":0.8284804821014404},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7139793634414673},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6853623986244202},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5418096780776978},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3749757707118988}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8428626656532288},{"id":"https://openalex.org/C159254197","wikidata":"https://www.wikidata.org/wiki/Q1144915","display_name":"Lexicographical order","level":2,"score":0.8284804821014404},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7139793634414673},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6853623986244202},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5418096780776978},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3749757707118988}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/09728600.2022.2059416","is_oa":true,"landing_page_url":"https://doi.org/10.1080/09728600.2022.2059416","pdf_url":null,"source":{"id":"https://openalex.org/S2764899362","display_name":"AKCE International Journal of Graphs and Combinatorics","issn_l":"0972-8600","issn":["0972-8600","2543-3474"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AKCE International Journal of Graphs and Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1080/09728600.2022.2059416","is_oa":true,"landing_page_url":"https://doi.org/10.1080/09728600.2022.2059416","pdf_url":null,"source":{"id":"https://openalex.org/S2764899362","display_name":"AKCE International Journal of Graphs and Combinatorics","issn_l":"0972-8600","issn":["0972-8600","2543-3474"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AKCE International Journal of Graphs and Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1993794556","https://openalex.org/W2019318707","https://openalex.org/W2027062493","https://openalex.org/W2035089435","https://openalex.org/W2061013630","https://openalex.org/W2075202765","https://openalex.org/W2178795297","https://openalex.org/W3141776272","https://openalex.org/W4213289662"],"related_works":["https://openalex.org/W1985455246","https://openalex.org/W1993634787","https://openalex.org/W3125614403","https://openalex.org/W2476923378","https://openalex.org/W2803221307","https://openalex.org/W2964314221","https://openalex.org/W4301521638","https://openalex.org/W2269982198","https://openalex.org/W2775050868","https://openalex.org/W2897343264"],"abstract_inverted_index":{"A":[0],"lexicographic":[1,46],"product":[2,28],"of":[3,45,48,71],"graphs":[4,50],"G":[5],"and":[6,21,35,74,94],"H,":[7],"denoted":[8],"by":[9],"G\u00b0H,":[10],"is":[11,67,76,86,92,96,106],"defined":[12],"as":[13],"a":[14,58,68,77,97],"graph":[15,70,78,98],"with":[16,57,79,99],"the":[17,27,39],"vertex":[18,43,87,107],"set":[19],"V(G)\u00d7V(H)":[20],"an":[22],"edge":[23],"{(u1,v1),(u2,v2)}":[24],"presents":[25],"in":[26],"whenever":[29],"u1u2\u2208E(G)":[30],"or":[31,54],"(u1":[32],"=":[33],"u2":[34],"v1v2\u2208E(H)).":[36],"We":[37,61],"investigate":[38],"sufficient":[40],"conditions":[41],"for":[42],"pancyclicity":[44],"products":[47],"complete":[49],"Kn,":[51],"paths":[52],"Pn":[53],"cycles":[55],"Cn":[56],"general":[59],"graph.":[60],"obtain":[62],"that":[63],"(i)":[64],"if":[65,90],"G1":[66,91],"traceable":[69],"even":[72],"order":[73],"G2":[75,95],"at":[80,100],"least":[81,101],"one":[82,102],"edge,":[83,103],"then":[84,104],"G1\u00b0G2":[85,105],"pancyclic;":[88],"(ii)":[89],"hamiltonian":[93],"pancyclic.":[108]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
