{"id":"https://openalex.org/W2098163515","doi":"https://doi.org/10.1155/2012/185346","title":"Two Sufficient Conditions for Hamilton and Dominating Cycles","display_name":"Two Sufficient Conditions for Hamilton and Dominating Cycles","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2098163515","doi":"https://doi.org/10.1155/2012/185346","mag":"2098163515"},"language":"en","primary_location":{"id":"doi:10.1155/2012/185346","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/185346","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/185346.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijmms/2012/185346.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012991519","display_name":"Zh. G. Nikoghosyan","orcid":"https://orcid.org/0000-0001-9043-0458"},"institutions":[{"id":"https://openalex.org/I4210133484","display_name":"Institute for Informatics and Automation Problems","ror":"https://ror.org/04a8k4p47","country_code":"AM","type":"facility","lineage":["https://openalex.org/I4210133484","https://openalex.org/I99064381"]}],"countries":["AM"],"is_corresponding":true,"raw_author_name":"Zh. G. Nikoghosyan","raw_affiliation_strings":["Institute for Informatics and Automation Problems, National Academy of Sciences, Street P. Sevak 1, Yerevan 0014, Armenia","Scientific American"],"affiliations":[{"raw_affiliation_string":"Institute for Informatics and Automation Problems, National Academy of Sciences, Street P. Sevak 1, Yerevan 0014, Armenia","institution_ids":["https://openalex.org/I4210133484"]},{"raw_affiliation_string":"Scientific American","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5012991519"],"corresponding_institution_ids":["https://openalex.org/I4210133484"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.15290351,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2012","issue":null,"first_page":"1","last_page":"25"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9976999759674072,"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":0.9976999759674072,"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/T11476","display_name":"Graph theory and applications","score":0.9955999851226807,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9812999963760376,"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/scalable-vector-graphics","display_name":"Scalable Vector Graphics","score":0.676699161529541},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6653587818145752},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5368919968605042},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.4935401678085327},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.43768009543418884},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3325984477996826},{"id":"https://openalex.org/keywords/world-wide-web","display_name":"World Wide Web","score":0.10004833340644836},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.09756550192832947}],"concepts":[{"id":"https://openalex.org/C202629362","wikidata":"https://www.wikidata.org/wiki/Q2078","display_name":"Scalable Vector Graphics","level":2,"score":0.676699161529541},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6653587818145752},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5368919968605042},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.4935401678085327},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.43768009543418884},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3325984477996826},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.10004833340644836},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.09756550192832947}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2012/185346","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/185346","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/185346.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jijmms:185346","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/IJMMS/2012/185346.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:1fc7d2a1e3c14fef86ed729dfa8e65f6","is_oa":true,"landing_page_url":"https://doaj.org/article/1fc7d2a1e3c14fef86ed729dfa8e65f6","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences, Vol 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/185346","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/185346","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/185346.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2098163515.pdf","grobid_xml":"https://content.openalex.org/works/W2098163515.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W1484040084","https://openalex.org/W1971367602"],"related_works":["https://openalex.org/W2327830834","https://openalex.org/W2373429421","https://openalex.org/W1978042415","https://openalex.org/W3086542228","https://openalex.org/W2017331178","https://openalex.org/W2976797620","https://openalex.org/W2371125232","https://openalex.org/W2023505575","https://openalex.org/W2036790081","https://openalex.org/W4321392910"],"abstract_inverted_index":{"We":[0],"prove":[1],"that":[2],"if":[3],"G":[4,35],"is":[5,36,66],"a":[6,37],"2-connect":[7],"graph":[8,61],"of":[9,14,43],"size":[10],"q":[11,63],"the":[12],"number":[13],"edges":[15],"and":[16,26,58],"minimum":[17],"degree":[18],"with":[19,62],"2q/3":[20],"/12-1/2,":[21],"where":[22],"11":[23],"when":[24,28],"2":[25],"31":[27],"3,":[29],"then":[30],"each":[31,60],"longest":[32],"cycle":[33],"in":[34,72],"dominating":[38],"cycle.":[39],"The":[40],"exact":[41],"analog":[42],"this":[44],"theorem":[45],"for":[46],"Hamilton":[47],"cycles":[48],"follows":[49],"easily":[50],"from":[51],"two":[52],"known":[53],"results":[54,69],"according":[55],"to":[56],"Dirac":[57],"Nash-Williams:":[59],"5/4":[64],"-1/2":[65],"hamiltonian.":[67],"Both":[68],"are":[70],"sharp":[71],"all":[73],"respects.":[74]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}