{"id":"https://openalex.org/W4408837972","doi":"https://doi.org/10.1017/s0963548325000070","title":"Hamiltonicity of sparse pseudorandom graphs","display_name":"Hamiltonicity of sparse pseudorandom graphs","publication_year":2025,"publication_date":"2025-03-25","ids":{"openalex":"https://openalex.org/W4408837972","doi":"https://doi.org/10.1017/s0963548325000070"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548325000070","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548325000070","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/8D1B518F0967D2D239B031A055D2D01D/S0963548325000070a.pdf/div-class-title-hamiltonicity-of-sparse-pseudorandom-graphs-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/8D1B518F0967D2D239B031A055D2D01D/S0963548325000070a.pdf/div-class-title-hamiltonicity-of-sparse-pseudorandom-graphs-div.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111429254","display_name":"Asaf Ferber","orcid":"https://orcid.org/0000-0002-0568-4523"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]},{"id":"https://openalex.org/I2803209242","display_name":"University of California System","ror":"https://ror.org/00pjdza24","country_code":"US","type":"education","lineage":["https://openalex.org/I2803209242"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Asaf Ferber","raw_affiliation_strings":["University of California","Department of Mathematics, University of California, Irvine, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California","institution_ids":["https://openalex.org/I2803209242"]},{"raw_affiliation_string":"Department of Mathematics, University of California, Irvine, CA, USA","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086267413","display_name":"Jie Han","orcid":"https://orcid.org/0000-0002-2013-2962"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jie Han","raw_affiliation_strings":["Beijing Institute of Technology","School of Mathematics and Statistics and Center for Applied Mathematics, Beijing Institute of Technology, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing Institute of Technology","institution_ids":["https://openalex.org/I125839683"]},{"raw_affiliation_string":"School of Mathematics and Statistics and Center for Applied Mathematics, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089112679","display_name":"Dingjia Mao","orcid":null},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]},{"id":"https://openalex.org/I2803209242","display_name":"University of California System","ror":"https://ror.org/00pjdza24","country_code":"US","type":"education","lineage":["https://openalex.org/I2803209242"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Dingjia Mao","raw_affiliation_strings":["University of California","Department of Mathematics, University of California, Irvine, CA, USA"],"raw_orcid":"https://orcid.org/0009-0004-8239-3633","affiliations":[{"raw_affiliation_string":"University of California","institution_ids":["https://openalex.org/I2803209242"]},{"raw_affiliation_string":"Department of Mathematics, University of California, Irvine, CA, USA","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070281692","display_name":"Roman Vershynin","orcid":null},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]},{"id":"https://openalex.org/I2803209242","display_name":"University of California System","ror":"https://ror.org/00pjdza24","country_code":"US","type":"education","lineage":["https://openalex.org/I2803209242"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Roman Vershynin","raw_affiliation_strings":["University of California","Department of Mathematics, University of California, Irvine, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California","institution_ids":["https://openalex.org/I2803209242"]},{"raw_affiliation_string":"Department of Mathematics, University of California, Irvine, CA, USA","institution_ids":["https://openalex.org/I204250578"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5089112679"],"corresponding_institution_ids":["https://openalex.org/I204250578","https://openalex.org/I2803209242"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02438802,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"34","issue":"4","first_page":"596","last_page":"620"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11130","display_name":"Coding theory and cryptography","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.9959999918937683,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/pseudorandom-number-generator","display_name":"Pseudorandom number generator","score":0.796990156173706},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5122284293174744},{"id":"https://openalex.org/keywords/pseudorandom-generator-theorem","display_name":"Pseudorandom generator theorem","score":0.5081539154052734},{"id":"https://openalex.org/keywords/pseudorandomness","display_name":"Pseudorandomness","score":0.3663158416748047},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3476872146129608},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2735075056552887}],"concepts":[{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.796990156173706},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5122284293174744},{"id":"https://openalex.org/C180233235","wikidata":"https://www.wikidata.org/wiki/Q7255475","display_name":"Pseudorandom generator theorem","level":4,"score":0.5081539154052734},{"id":"https://openalex.org/C19086982","wikidata":"https://www.wikidata.org/wiki/Q2115856","display_name":"Pseudorandomness","level":3,"score":0.3663158416748047},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3476872146129608},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2735075056552887}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0963548325000070","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548325000070","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/8D1B518F0967D2D239B031A055D2D01D/S0963548325000070a.pdf/div-class-title-hamiltonicity-of-sparse-pseudorandom-graphs-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1017/s0963548325000070","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548325000070","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/8D1B518F0967D2D239B031A055D2D01D/S0963548325000070a.pdf/div-class-title-hamiltonicity-of-sparse-pseudorandom-graphs-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4408837972.pdf","grobid_xml":"https://content.openalex.org/works/W4408837972.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1639593279","https://openalex.org/W1971367602","https://openalex.org/W1980921095","https://openalex.org/W1997889147","https://openalex.org/W1998058722","https://openalex.org/W2009232680","https://openalex.org/W2018047324","https://openalex.org/W2036286064","https://openalex.org/W2039508082","https://openalex.org/W2054945981","https://openalex.org/W2069505580","https://openalex.org/W2085719367","https://openalex.org/W2086253307","https://openalex.org/W2103626912","https://openalex.org/W2118360213","https://openalex.org/W2126648306","https://openalex.org/W2159703794","https://openalex.org/W2336317531","https://openalex.org/W2401610261","https://openalex.org/W2803584453","https://openalex.org/W2894788058","https://openalex.org/W2953347513","https://openalex.org/W2963201929","https://openalex.org/W2963878442","https://openalex.org/W3023439304","https://openalex.org/W3104234497","https://openalex.org/W3205572417","https://openalex.org/W4233413206","https://openalex.org/W4233896336","https://openalex.org/W4236369371","https://openalex.org/W4403747524"],"related_works":["https://openalex.org/W4241950541","https://openalex.org/W2143898630","https://openalex.org/W44435986","https://openalex.org/W1994207320","https://openalex.org/W2161451071","https://openalex.org/W1972193539","https://openalex.org/W2050598895","https://openalex.org/W1979902210","https://openalex.org/W3170259722","https://openalex.org/W1968784238"],"abstract_inverted_index":{"Abstract":[0],"We":[1,100],"show":[2],"that":[3,18,49,102],"every":[4],"$(n,d,\\lambda":[5,97],")$":[6,98],"-graph":[7],"contains":[8],"a":[9,34,44,60,73,77,84],"Hamilton":[10],"cycle":[11],"for":[12,47],"sufficiently":[13],"large":[14],"$n$":[15,53],",":[16,26],"assuming":[17],"$d\\geq":[19],"\\log":[20],"^{6}n$":[21],"and":[22,40,110],"$\\lambda":[23],"\\leq":[24],"cd$":[25],"where":[27],"$c=\\frac":[28],"{1}{70000}$":[29],".":[30,54],"This":[31],"significantly":[32],"improves":[33],"recent":[35,85],"result":[36,46,62,86,105],"of":[37,68,72,80,91,107],"Glock,":[38],"Correia,":[39],"Sudakov,":[41],"who":[42],"obtained":[43],"similar":[45],"$d$":[48],"grows":[50],"polynomially":[51],"with":[52,83],"The":[55],"proof":[56],"is":[57,106],"based":[58],"on":[59,87],"new":[61],"regarding":[63],"the":[64,69,103],"second":[65],"largest":[66],"eigenvalue":[67],"adjacency":[70],"matrix":[71],"subgraph":[74],"induced":[75],"by":[76,93],"random":[78],"subset":[79],"vertices,":[81],"combined":[82],"connecting":[88],"designated":[89],"pairs":[90],"vertices":[92],"vertex-disjoint":[94],"paths":[95],"in":[96],"-graphs.":[99],"believe":[101],"former":[104],"independent":[108],"interest":[109],"will":[111],"have":[112],"further":[113],"applications.":[114]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
