{"id":"https://openalex.org/W217363743","doi":"https://doi.org/10.1002/rsa.20631","title":"Random directed graphs are robustly Hamiltonian","display_name":"Random directed graphs are robustly Hamiltonian","publication_year":2015,"publication_date":"2015-12-24","ids":{"openalex":"https://openalex.org/W217363743","doi":"https://doi.org/10.1002/rsa.20631","mag":"217363743"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1002/rsa.20631","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1404.4734","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072848658","display_name":"Dan Hefetz","orcid":"https://orcid.org/0000-0001-8923-3879"},"institutions":[{"id":"https://openalex.org/I79619799","display_name":"University of Birmingham","ror":"https://ror.org/03angcq70","country_code":"GB","type":"funder","lineage":["https://openalex.org/I79619799"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Dan Hefetz","raw_affiliation_strings":["School of Mathematics; University of Birmingham; Edgbaston Birmingham B15 2TT UK"],"affiliations":[{"raw_affiliation_string":"School of Mathematics; University of Birmingham; Edgbaston Birmingham B15 2TT UK","institution_ids":["https://openalex.org/I79619799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062687538","display_name":"Angelika Steger","orcid":"https://orcid.org/0000-0002-3465-3996"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"funder","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Angelika Steger","raw_affiliation_strings":["Institute of Theoretical Computer Science, ETH; Z\u00fcrich CH-8092 Switzerland"],"affiliations":[{"raw_affiliation_string":"Institute of Theoretical Computer Science, ETH; Z\u00fcrich CH-8092 Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066741544","display_name":"Benny Sudakov","orcid":"https://orcid.org/0000-0003-3307-9475"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"funder","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Benny Sudakov","raw_affiliation_strings":["Department of Mathematics, ETH; 8092 Zurich Switzerland"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, ETH; 8092 Zurich Switzerland","institution_ids":["https://openalex.org/I35440088"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":4330,"currency":"USD","value_usd":4330},"apc_paid":null,"fwci":2.726,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":14,"citation_normalized_percentile":{"value":0.784942,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":89},"biblio":{"volume":"49","issue":"2","first_page":"345","last_page":"362"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9998,"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"}},"topics":[{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9998,"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":0.9977,"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":0.9976,"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/random-regular-graph","display_name":"Random regular graph","score":0.5792672},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.47886702},{"id":"https://openalex.org/keywords/feedback-arc-set","display_name":"Feedback arc set","score":0.46580985},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.4150058}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7524413},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.7359394},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.70050037},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.66524726},{"id":"https://openalex.org/C86524685","wikidata":"https://www.wikidata.org/wiki/Q273037","display_name":"Hamiltonian path","level":3,"score":0.65367633},{"id":"https://openalex.org/C4255713","wikidata":"https://www.wikidata.org/wiki/Q7291988","display_name":"Random regular graph","level":5,"score":0.5792672},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.54428744},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.47886702},{"id":"https://openalex.org/C157951044","wikidata":"https://www.wikidata.org/wiki/Q1400910","display_name":"Feedback arc set","level":5,"score":0.46580985},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.4150058},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.39129305},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.22935379},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.1970683},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.091818064},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.06974694},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1002/rsa.20631","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1404.4734","pdf_url":"https://arxiv.org/pdf/1404.4734","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1404.4734","pdf_url":"https://arxiv.org/pdf/1404.4734","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":41,"referenced_works":["https://openalex.org/W115873615","https://openalex.org/W1479863711","https://openalex.org/W1554423888","https://openalex.org/W169898132","https://openalex.org/W1965652541","https://openalex.org/W1971367602","https://openalex.org/W1974769464","https://openalex.org/W1997512277","https://openalex.org/W2009232680","https://openalex.org/W2016267660","https://openalex.org/W2030380672","https://openalex.org/W2050140567","https://openalex.org/W2052850567","https://openalex.org/W2066182228","https://openalex.org/W2066266229","https://openalex.org/W2085719367","https://openalex.org/W2092565550","https://openalex.org/W2097823813","https://openalex.org/W2100158662","https://openalex.org/W2116537669","https://openalex.org/W2119414881","https://openalex.org/W2126648306","https://openalex.org/W2140606499","https://openalex.org/W2145342041","https://openalex.org/W2220973681","https://openalex.org/W2340963721","https://openalex.org/W2401610261","https://openalex.org/W2478722229","https://openalex.org/W2528878859","https://openalex.org/W2591664023","https://openalex.org/W2905110430","https://openalex.org/W2953347513","https://openalex.org/W2963797887","https://openalex.org/W3100625388","https://openalex.org/W3142570770","https://openalex.org/W3143219376","https://openalex.org/W3144881883","https://openalex.org/W3149604617","https://openalex.org/W4236302493","https://openalex.org/W4248133988","https://openalex.org/W64270857"],"related_works":["https://openalex.org/W4300545322","https://openalex.org/W4297807915","https://openalex.org/W2963782526","https://openalex.org/W2949833368","https://openalex.org/W217363743","https://openalex.org/W2159144508","https://openalex.org/W2012853908","https://openalex.org/W1980481456","https://openalex.org/W1643271191","https://openalex.org/W1557925886"],"abstract_inverted_index":{"A":[0],"classical":[1,107],"theorem":[2,33],"of":[3,59,67,69,71,83,112],"Ghouila-Houri":[4],"from":[5],"1960":[6],"asserts":[7],"that":[8,40,76],"every":[9,47,81],"directed":[10,24,37,43,93,113,118],"graph":[11,38,44],"on":[12],"n":[13],"vertices":[14],"with":[15,55,84],"minimum":[16,85],"out-degree":[17,86],"and":[18,87],"in-degree":[19,88],"at":[20,89],"least":[21,90],"contains":[22,91],"a":[23,35,42,92],"Hamilton":[25,94,114],"cycle.":[26,95],"In":[27],"this":[28,32],"paper":[29],"we":[30,74],"extend":[31],"to":[34],"random":[36,72,117],",":[39,78],"is,":[41],"in":[45,116],"which":[46],"ordered":[48],"pair":[49],"(u,":[50],"v)":[51],"becomes":[52],"an":[53],"arc":[54],"probability":[56],"p":[57],"independently":[58],"all":[60],"other":[61],"pairs.":[62],"Motivated":[63],"by":[64],"the":[65,110],"study":[66],"resilience":[68],"properties":[70],"graphs,":[73],"prove":[75],"if":[77],"then":[79],"a.a.s.":[80],"subdigraph":[82],"The":[96],"constant":[97],"1/2":[98],"is":[99],"asymptotically":[100],"best":[101],"possible.":[102],"Our":[103],"result":[104],"also":[105],"strengthens":[106],"results":[108],"about":[109],"existence":[111],"cycles":[115],"graphs.":[119],"\u00a9":[120],"2016":[121,130],"Wiley":[122],"Periodicals,":[123],"Inc.":[124],"Random":[125],"Struct.":[126],"Alg.,":[127],"49,":[128],"345\u2013362,":[129]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W217363743","counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":3}],"updated_date":"2025-03-17T14:20:30.341537","created_date":"2016-06-24"}