{"id":"https://openalex.org/W2077981730","doi":"https://doi.org/10.1137/070705775","title":"SC-Hamiltonicity and Its Linkages with Strong Hamiltonicity of a Graph","display_name":"SC-Hamiltonicity and Its Linkages with Strong Hamiltonicity of a Graph","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2077981730","doi":"https://doi.org/10.1137/070705775","mag":"2077981730"},"language":"en","primary_location":{"id":"doi:10.1137/070705775","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070705775","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","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/A5059050605","display_name":"Daniel K. Benvenuti","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Daniel K. Benvenuti","raw_affiliation_strings":["danbenv@hotmail.com and apunnen@sfu.ca#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"danbenv@hotmail.com and apunnen@sfu.ca#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079361771","display_name":"Abraham P. Punnen","orcid":"https://orcid.org/0000-0002-3859-9229"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Abraham P. Punnen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3745,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.60238908,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"23","issue":"4","first_page":"2035","last_page":"2041"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9972000122070312,"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":0.9972000122070312,"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/T10849","display_name":"Finite Group Theory Research","score":0.9936000108718872,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9923999905586243,"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/counterexample","display_name":"Counterexample","score":0.9318105578422546},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.837383508682251},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.829304039478302},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7102208137512207},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5977090001106262},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5043221712112427},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4537442624568939}],"concepts":[{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.9318105578422546},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.837383508682251},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.829304039478302},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7102208137512207},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5977090001106262},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5043221712112427},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4537442624568939},{"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:10.1137/070705775","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070705775","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","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":8,"referenced_works":["https://openalex.org/W1969735597","https://openalex.org/W1977926991","https://openalex.org/W1988270848","https://openalex.org/W1992159478","https://openalex.org/W2016824492","https://openalex.org/W2035704018","https://openalex.org/W2069255695","https://openalex.org/W2086492126"],"related_works":["https://openalex.org/W4309222106","https://openalex.org/W1989210195","https://openalex.org/W2012590989","https://openalex.org/W4385681624","https://openalex.org/W4240581084","https://openalex.org/W1734188852","https://openalex.org/W2952569802","https://openalex.org/W2049141591","https://openalex.org/W2950489642","https://openalex.org/W4297939726"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"provide":[4],"a":[5,20,46],"complete":[6],"characterization":[7],"of":[8,58],"undirected":[9],"SC-Hamiltonian":[10],"graphs":[11,59],"that":[12,50],"are":[13],"not":[14],"strongly":[15],"Hamiltonian.":[16],"This":[17],"conclusively":[18],"settles":[19],"conjecture":[21,62,68],"by":[22,35],"Kry\u0144ski":[23],"[Discrete":[24,39],"Appl.":[25],"Math.,":[26,40],"55":[27],"(1994),":[28],"pp.":[29,43],"87\u201389],":[30],"which":[31],"was":[32],"later":[33],"disproved":[34],"Kabadi":[36],"and":[37],"Punnen":[38],"271":[41],"(2003),":[42],"129\u2013139]":[44],"with":[45],"counterexample.":[47],"We":[48],"show":[49],"the":[51,55,67],"Kabadi\u2013Punnen":[52],"counterexample":[53],"is":[54,63],"only":[56],"class":[57],"where":[60],"Kry\u0144ski's":[61],"false,":[64],"thereby":[65],"proving":[66],"for":[69],"all":[70],"other":[71],"graphs.":[72]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}