{"id":"https://openalex.org/W2597457532","doi":"https://doi.org/10.23638/dmtcs-20-1-8","title":"Finding Hamilton cycles in random intersection graphs","display_name":"Finding Hamilton cycles in random intersection graphs","publication_year":2018,"publication_date":"2018-03-05","ids":{"openalex":"https://openalex.org/W2597457532","doi":"https://doi.org/10.23638/dmtcs-20-1-8","mag":"2597457532"},"language":"en","primary_location":{"id":"doi:10.23638/dmtcs-20-1-8","is_oa":true,"landing_page_url":"https://doi.org/10.23638/dmtcs-20-1-8","pdf_url":"https://dmtcs.episciences.org/4339/pdf","source":{"id":"https://openalex.org/S200334879","display_name":"Discrete Mathematics & Theoretical Computer Science","issn_l":"1365-8050","issn":["1365-8050","1462-7264"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4328141799","host_organization_name":"French association","host_organization_lineage":["https://openalex.org/P4328141799"],"host_organization_lineage_names":["French association"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics &amp; Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://dmtcs.episciences.org/4339/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002490455","display_name":"Katarzyna Rybarczyk","orcid":"https://orcid.org/0000-0002-3998-6482"},"institutions":[{"id":"https://openalex.org/I59411706","display_name":"Adam Mickiewicz University in Pozna\u0144","ror":"https://ror.org/04g6bbq64","country_code":"PL","type":"education","lineage":["https://openalex.org/I59411706"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Katarzyna Rybarczyk","raw_affiliation_strings":["Adam Mickiewicz University , Pozna , Poland"],"raw_orcid":"https://orcid.org/0000-0002-3998-6482","affiliations":[{"raw_affiliation_string":"Adam Mickiewicz University , Pozna , Poland","institution_ids":["https://openalex.org/I59411706"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5002490455"],"corresponding_institution_ids":["https://openalex.org/I59411706"],"apc_list":null,"apc_paid":null,"fwci":0.5214,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.51959412,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"Vol. 20 no. 1","issue":"Graph Theory","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9994000196456909,"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":0.9994000196456909,"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/T11476","display_name":"Graph theory and applications","score":0.9897000193595886,"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":0.9846000075340271,"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/combinatorics","display_name":"Combinatorics","score":0.7987743616104126},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7146130800247192},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.7031972408294678},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.6931722164154053},{"id":"https://openalex.org/keywords/intersection-graph","display_name":"Intersection graph","score":0.6505071520805359},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5344077348709106},{"id":"https://openalex.org/keywords/intersection-number","display_name":"Intersection number","score":0.44081079959869385},{"id":"https://openalex.org/keywords/hamiltonian-path","display_name":"Hamiltonian path","score":0.43173906207084656},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.41137224435806274},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3765355944633484},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.12652921676635742}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7987743616104126},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7146130800247192},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.7031972408294678},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.6931722164154053},{"id":"https://openalex.org/C54540088","wikidata":"https://www.wikidata.org/wiki/Q3498041","display_name":"Intersection graph","level":4,"score":0.6505071520805359},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5344077348709106},{"id":"https://openalex.org/C103368685","wikidata":"https://www.wikidata.org/wiki/Q638846","display_name":"Intersection number","level":3,"score":0.44081079959869385},{"id":"https://openalex.org/C86524685","wikidata":"https://www.wikidata.org/wiki/Q273037","display_name":"Hamiltonian path","level":3,"score":0.43173906207084656},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.41137224435806274},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3765355944633484},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.12652921676635742},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.23638/dmtcs-20-1-8","is_oa":true,"landing_page_url":"https://doi.org/10.23638/dmtcs-20-1-8","pdf_url":"https://dmtcs.episciences.org/4339/pdf","source":{"id":"https://openalex.org/S200334879","display_name":"Discrete Mathematics & Theoretical Computer Science","issn_l":"1365-8050","issn":["1365-8050","1462-7264"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4328141799","host_organization_name":"French association","host_organization_lineage":["https://openalex.org/P4328141799"],"host_organization_lineage_names":["French association"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics &amp; Theoretical Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1702.03667","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1702.03667","pdf_url":"https://arxiv.org/pdf/1702.03667","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":null,"raw_type":"text"},{"id":"mag:2597457532","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1702.03667.pdf","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:doaj.org/article:ff47367efc5f4494976427fd62a61171","is_oa":true,"landing_page_url":"https://doaj.org/article/ff47367efc5f4494976427fd62a61171","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete Mathematics & Theoretical Computer Science, Vol Vol. 20 no. 1, Iss Graph Theory (2018)","raw_type":"article"},{"id":"doi:10.48550/arxiv.1702.03667","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1702.03667","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-journal"}],"best_oa_location":{"id":"doi:10.23638/dmtcs-20-1-8","is_oa":true,"landing_page_url":"https://doi.org/10.23638/dmtcs-20-1-8","pdf_url":"https://dmtcs.episciences.org/4339/pdf","source":{"id":"https://openalex.org/S200334879","display_name":"Discrete Mathematics & Theoretical Computer Science","issn_l":"1365-8050","issn":["1365-8050","1462-7264"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4328141799","host_organization_name":"French association","host_organization_lineage":["https://openalex.org/P4328141799"],"host_organization_lineage_names":["French association"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics &amp; Theoretical Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6687289014","display_name":null,"funder_award_id":"2014/13/D/ST1/01175","funder_id":"https://openalex.org/F4320322511","funder_display_name":"Narodowe Centrum Nauki"}],"funders":[{"id":"https://openalex.org/F4320322511","display_name":"Narodowe Centrum Nauki","ror":"https://ror.org/03ha2q922"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2597457532.pdf","grobid_xml":"https://content.openalex.org/works/W2597457532.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W1497703977","https://openalex.org/W1536555602","https://openalex.org/W1902204033","https://openalex.org/W2004158170","https://openalex.org/W2009232680","https://openalex.org/W2137628825","https://openalex.org/W2165064763","https://openalex.org/W2219978534","https://openalex.org/W2963150870","https://openalex.org/W3144881883"],"related_works":["https://openalex.org/W2964281516","https://openalex.org/W2005353392","https://openalex.org/W2964041705","https://openalex.org/W1984327409","https://openalex.org/W1554678859","https://openalex.org/W2759395947","https://openalex.org/W2990415955","https://openalex.org/W2962834417","https://openalex.org/W2950781304","https://openalex.org/W2266980279","https://openalex.org/W2007069176","https://openalex.org/W3017170238","https://openalex.org/W2956506328","https://openalex.org/W2032773290","https://openalex.org/W3193397497","https://openalex.org/W1890176618","https://openalex.org/W2620994567","https://openalex.org/W2096691710","https://openalex.org/W2095458137","https://openalex.org/W1671232646"],"abstract_inverted_index":{"The":[0],"construction":[1],"of":[2,14,23,40,76,93,133,141,144],"the":[3,38,87,91,102,105,109,139,142],"random":[4,12,47,63,77,145],"intersection":[5,48,78],"graph":[6],"model":[7],"is":[8,101],"based":[9],"on":[10,71],"a":[11,27,42,46,55,74,96],"family":[13,75,143],"sets.":[15,146],"Such":[16],"structures,":[17],"which":[18],"are":[19],"derived":[20],"from":[21,73],"intersections":[22],"sets,":[24],"appear":[25],"in":[26,30,45,62,99,123,129],"natural":[28],"manner":[29],"many":[31],"applications.":[32],"In":[33],"this":[34,51],"article":[35],"we":[36,53],"study":[37,68],"problem":[39],"finding":[41,59,120],"Hamilton":[43,60,97,121],"cycle":[44,98],"graph.":[49],"To":[50],"end":[52],"analyse":[54],"classical":[56],"algorithm":[57],"for":[58,90,108,119],"cycles":[61,122],"graphs":[64,72,79],"(algorithm":[65],"HAM)":[66],"and":[67],"its":[69],"efficiency":[70],"(denoted":[80],"here":[81],"by":[82],"G(n,m,p)).":[83],"We":[84],"prove":[85],"that":[86],"threshold":[88,106],"function":[89,107],"property":[92],"HAM":[94],"constructing":[95],"G(n,m,p)":[100,124],"same":[103],"as":[104],"minimum":[110],"degree":[111],"at":[112],"least":[113],"two.":[114],"Until":[115],"now,":[116],"known":[117],"algorithms":[118],"were":[125],"designed":[126],"to":[127],"work":[128],"very":[130],"small":[131],"ranges":[132],"parameters":[134],"and,":[135],"unlike":[136],"HAM,":[137],"used":[138],"structure":[140]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
