{"id":"https://openalex.org/W2156266460","doi":"https://doi.org/10.1142/s1793830912500589","title":"CONTRACTIBLE HAMILTONIAN CYCLES IN POLYHEDRAL MAPS","display_name":"CONTRACTIBLE HAMILTONIAN CYCLES IN POLYHEDRAL MAPS","publication_year":2012,"publication_date":"2012-10-30","ids":{"openalex":"https://openalex.org/W2156266460","doi":"https://doi.org/10.1142/s1793830912500589","mag":"2156266460"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830912500589","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830912500589","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1202.4150","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111255966","display_name":"Dipendu Maity","orcid":null},"institutions":[{"id":"https://openalex.org/I132153292","display_name":"Indian Institute of Technology Patna","ror":"https://ror.org/01ft5vz71","country_code":"IN","type":"education","lineage":["https://openalex.org/I132153292"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"DIPENDU MAITY","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology Patna, Patliputra Colony, Patna 800 013, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Patna, Patliputra Colony, Patna 800 013, India","institution_ids":["https://openalex.org/I132153292"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019792162","display_name":"A. Upadhyay","orcid":"https://orcid.org/0000-0001-6307-6799"},"institutions":[{"id":"https://openalex.org/I132153292","display_name":"Indian Institute of Technology Patna","ror":"https://ror.org/01ft5vz71","country_code":"IN","type":"education","lineage":["https://openalex.org/I132153292"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"ASHISH KUMAR UPADHYAY","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology Patna, Patliputra Colony, Patna 800 013, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Patna, Patliputra Colony, Patna 800 013, India","institution_ids":["https://openalex.org/I132153292"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111255966"],"corresponding_institution_ids":["https://openalex.org/I132153292"],"apc_list":null,"apc_paid":null,"fwci":0.33496875,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.65049878,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"04","issue":"04","first_page":"1250058","last_page":"1250058"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9980000257492065,"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":0.9980000257492065,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9887999892234802,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9861000180244446,"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/contractible-space","display_name":"Contractible space","score":0.982391893863678},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.7263948917388916},{"id":"https://openalex.org/keywords/hamiltonian-path","display_name":"Hamiltonian path","score":0.6409785151481628},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.606494128704071},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.49942755699157715},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4958675801753998},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36799705028533936},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3206174969673157},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.11749032139778137}],"concepts":[{"id":"https://openalex.org/C169611556","wikidata":"https://www.wikidata.org/wiki/Q230689","display_name":"Contractible space","level":2,"score":0.982391893863678},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.7263948917388916},{"id":"https://openalex.org/C86524685","wikidata":"https://www.wikidata.org/wiki/Q273037","display_name":"Hamiltonian path","level":3,"score":0.6409785151481628},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.606494128704071},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.49942755699157715},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4958675801753998},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36799705028533936},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3206174969673157},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.11749032139778137}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1142/s1793830912500589","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830912500589","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1202.4150","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1202.4150","pdf_url":"https://arxiv.org/pdf/1202.4150","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"mag:2156266460","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1202.4150","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.750.2321","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.750.2321","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1202.4150.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.1202.4150","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1202.4150","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1202.4150","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1202.4150","pdf_url":"https://arxiv.org/pdf/1202.4150","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W51037165","https://openalex.org/W594463866","https://openalex.org/W1480738988","https://openalex.org/W1484040084","https://openalex.org/W1974731924","https://openalex.org/W2018262609","https://openalex.org/W2050065904","https://openalex.org/W2066702238","https://openalex.org/W2113136861","https://openalex.org/W2159185405","https://openalex.org/W4319589071"],"related_works":["https://openalex.org/W2962678234","https://openalex.org/W2277081813","https://openalex.org/W2006368892","https://openalex.org/W2950634623","https://openalex.org/W2982540857","https://openalex.org/W2035136476","https://openalex.org/W2407568803","https://openalex.org/W2075277573","https://openalex.org/W3201591009","https://openalex.org/W1504855246","https://openalex.org/W2963534795","https://openalex.org/W2084688002","https://openalex.org/W1491868133","https://openalex.org/W2379287707","https://openalex.org/W2382221195","https://openalex.org/W1022886965","https://openalex.org/W1566345070","https://openalex.org/W2016742486","https://openalex.org/W3048605138","https://openalex.org/W1503721072"],"abstract_inverted_index":{"We":[0,23],"present":[1,25],"a":[2,10],"necessary":[3],"and":[4,39],"sufficient":[5],"condition":[6],"for":[7,43],"existence":[8],"of":[9,18],"contractible":[11],"Hamiltonian":[12],"cycle":[13],"in":[14],"the":[15],"edge":[16],"graph":[17],"equivelar":[19],"maps":[20],"on":[21],"surfaces.":[22],"also":[24],"an":[26],"algorithm":[27],"to":[28,41],"find":[29],"such":[30],"cycles":[31],"(if":[32],"they":[33],"exist).":[34],"This":[35],"is":[36],"further":[37],"generalized":[38],"shown":[40],"hold":[42],"more":[44],"general":[45],"maps.":[46]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}