{"id":"https://openalex.org/W4392463905","doi":"https://doi.org/10.1017/s0963548324000063","title":"A class of graphs of zero Tur\u00e1n density in a hypercube","display_name":"A class of graphs of zero Tur\u00e1n density in a hypercube","publication_year":2024,"publication_date":"2024-03-05","ids":{"openalex":"https://openalex.org/W4392463905","doi":"https://doi.org/10.1017/s0963548324000063"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548324000063","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548324000063","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/6BEEC67B9748D7F8ED9903BBA6A618DE/S0963548324000063a.pdf/div-class-title-a-class-of-graphs-of-zero-turan-density-in-a-hypercube-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/6BEEC67B9748D7F8ED9903BBA6A618DE/S0963548324000063a.pdf/div-class-title-a-class-of-graphs-of-zero-turan-density-in-a-hypercube-div.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079004436","display_name":"Maria Axenovich","orcid":"https://orcid.org/0000-0002-8843-9557"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Maria Axenovich","raw_affiliation_strings":["Karlsruhe Institute of Technology, Karlsruhe, Germany"],"affiliations":[{"raw_affiliation_string":"Karlsruhe Institute of Technology, Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5079004436"],"corresponding_institution_ids":["https://openalex.org/I102335020"],"apc_list":null,"apc_paid":null,"fwci":2.0042,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.81918579,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"33","issue":"3","first_page":"404","last_page":"410"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9998000264167786,"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":0.9997000098228455,"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":0.9983999729156494,"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/zero","display_name":"Zero (linguistics)","score":0.7429799437522888},{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.7370274662971497},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.7252132892608643},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5894304513931274},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.48935312032699585},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33209672570228577},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2543785274028778},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08079451322555542},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.053082793951034546},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.04981538653373718}],"concepts":[{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.7429799437522888},{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.7370274662971497},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.7252132892608643},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5894304513931274},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.48935312032699585},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33209672570228577},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2543785274028778},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08079451322555542},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.053082793951034546},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.04981538653373718}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0963548324000063","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548324000063","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/6BEEC67B9748D7F8ED9903BBA6A618DE/S0963548324000063a.pdf/div-class-title-a-class-of-graphs-of-zero-turan-density-in-a-hypercube-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/s0963548324000063","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548324000063","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/6BEEC67B9748D7F8ED9903BBA6A618DE/S0963548324000063a.pdf/div-class-title-a-class-of-graphs-of-zero-turan-density-in-a-hypercube-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":[{"id":"https://openalex.org/G5427484807","display_name":null,"funder_award_id":"FKZ AX 93/2-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4392463905.pdf"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W183327403","https://openalex.org/W1576509659","https://openalex.org/W1980491045","https://openalex.org/W2026067207","https://openalex.org/W2032716544","https://openalex.org/W2036610450","https://openalex.org/W2062097565","https://openalex.org/W2074545042","https://openalex.org/W2086039438","https://openalex.org/W2105222637","https://openalex.org/W2110354774","https://openalex.org/W2282585286","https://openalex.org/W4385517601","https://openalex.org/W6634419230"],"related_works":["https://openalex.org/W4286907761","https://openalex.org/W2916710807","https://openalex.org/W2413588304","https://openalex.org/W2774705104","https://openalex.org/W2009411567","https://openalex.org/W3205447645","https://openalex.org/W2097769911","https://openalex.org/W2371629703","https://openalex.org/W2122785676","https://openalex.org/W72835634"],"abstract_inverted_index":{"Abstract":[0],"For":[1],"a":[2,6,42,47,51,70,77,90,98,118,123,155,191],"graph":[3,124,179],"$H$":[4,20,37,68,83],"and":[5,64,92,130],"hypercube":[7,48,91],"$Q_n$":[8,24],",":[9,36],"$\\textrm{ex}(Q_n,":[10,62],"H)$":[11,63],"is":[12,38,146],"the":[13,148,166],"largest":[14],"number":[15],"of":[16,23,101,154,157],"edges":[17],"in":[18,46,89,190],"an":[19,152],"-free":[21],"subgraph":[22],".":[25,84],"If":[26],"$\\lim":[27],"_{n":[28],"\\rightarrow":[29],"\\infty":[30],"}":[31],"\\textrm{ex}(Q_n,":[32],"H)/|E(Q_n)|":[33],"\\gt":[34],"0$":[35],"said":[39],"to":[40],"have":[41,109,160,169],"positive":[43,52,71],"Tur\u00e1n":[44,53,59,74,111,127,171,188],"density":[45,75,128,189],"or":[49,72],"simply":[50],"density;":[54],"otherwise,":[55],"it":[56,133],"has":[57,69,125,134,183,186],"zero":[58,73,110,126,170,187],"density.":[60,112,172],"Determining":[61],"even":[65],"identifying":[66],"whether":[67,115,122],"remains":[76],"widely":[78],"open":[79],"question":[80],"for":[81],"general":[82],"By":[85],"relating":[86],"extremal":[87],"numbers":[88],"certain":[93],"corresponding":[94],"hypergraphs,":[95],"Conlon":[96],"found":[97],"large":[99],"class":[100,156],"graphs,":[102],"ones":[103],"having":[104],"so-called":[105],"partite":[106,135,162,184],"representation,":[107,163],"that":[108,120,177],"He":[113],"asked":[114],"this":[116,145],"gives":[117],"characterisation,":[119],"is,":[121],"if":[129,132],"only":[131],"representation.":[136],"Here,":[137],"we":[138,175],"show":[139,176],"that,":[140],"as":[141],"suspected":[142],"by":[143],"Conlon,":[144],"not":[147],"case.":[149],"We":[150],"give":[151],"example":[153],"graphs":[158],"which":[159],"no":[161],"but":[164],"on":[165],"other":[167],"hand,":[168],"In":[173],"addition,":[174],"any":[178],"whose":[180],"every":[181],"block":[182],"representation":[185],"hypercube.":[192]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}