{"id":"https://openalex.org/W2914209556","doi":"https://doi.org/10.37236/8374","title":"The Ramsey Number of Fano Plane Versus Tight Path","display_name":"The Ramsey Number of Fano Plane Versus Tight Path","publication_year":2020,"publication_date":"2020-03-19","ids":{"openalex":"https://openalex.org/W2914209556","doi":"https://doi.org/10.37236/8374","mag":"2914209556"},"language":"en","primary_location":{"id":"doi:10.37236/8374","is_oa":true,"landing_page_url":"https://doi.org/10.37236/8374","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i1p60/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i1p60/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108264183","display_name":"J\u00f3zsef Balogh","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"J\u00f3zsef Balogh","raw_affiliation_strings":["University of Illinois at Urbana-Champaign\r\n\r\nand\r\n\r\nMoscow Institute of Physics and Technology","***University of Illinois at Urbana-Champaign"],"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana-Champaign\r\n\r\nand\r\n\r\nMoscow Institute of Physics and Technology","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"***University of Illinois at Urbana-Champaign","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090058107","display_name":"Felix Christian Clemen","orcid":"https://orcid.org/0000-0002-3798-1645"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Felix Christian Clemen","raw_affiliation_strings":["University of Illinois at Urbana-Champaign","***University of Illinois at Urbana-Champaign"],"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana-Champaign","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"***University of Illinois at Urbana-Champaign","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017513172","display_name":"Jozef Skokan","orcid":"https://orcid.org/0000-0003-3996-7676"},"institutions":[{"id":"https://openalex.org/I909854389","display_name":"London School of Economics and Political Science","ror":"https://ror.org/0090zs177","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I909854389"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jozef Skokan","raw_affiliation_strings":["London School of Economics","London  School of Economics"],"affiliations":[{"raw_affiliation_string":"London School of Economics","institution_ids":["https://openalex.org/I909854389"]},{"raw_affiliation_string":"London  School of Economics","institution_ids":["https://openalex.org/I909854389"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102935868","display_name":"Adam Zsolt Wagner","orcid":"https://orcid.org/0000-0002-6423-3730"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Adam Zsolt Wagner","raw_affiliation_strings":["ETH Zurich","ETH Z\u00fcrich"],"affiliations":[{"raw_affiliation_string":"ETH Zurich","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"ETH Z\u00fcrich","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5108264183"],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05634236,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"27","issue":"1","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":0.9998000264167786,"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":0.9998000264167786,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.991599977016449,"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":0.9896000027656555,"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/hypergraph","display_name":"Hypergraph","score":0.9066800475120544},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8589774370193481},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6341086030006409},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.623725414276123},{"id":"https://openalex.org/keywords/fano-plane","display_name":"Fano plane","score":0.6111224889755249},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5576926469802856},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.532916784286499},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.5157251954078674},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.50697922706604},{"id":"https://openalex.org/keywords/ramseys-theorem","display_name":"Ramsey's theorem","score":0.467661052942276},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3598235845565796},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11887577176094055},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.08355486392974854},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0769565999507904},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.07404401898384094}],"concepts":[{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.9066800475120544},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8589774370193481},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6341086030006409},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.623725414276123},{"id":"https://openalex.org/C39757861","wikidata":"https://www.wikidata.org/wiki/Q1395814","display_name":"Fano plane","level":2,"score":0.6111224889755249},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5576926469802856},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.532916784286499},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.5157251954078674},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.50697922706604},{"id":"https://openalex.org/C44115641","wikidata":"https://www.wikidata.org/wiki/Q918099","display_name":"Ramsey's theorem","level":3,"score":0.467661052942276},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3598235845565796},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11887577176094055},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.08355486392974854},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0769565999507904},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.07404401898384094},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.37236/8374","is_oa":true,"landing_page_url":"https://doi.org/10.37236/8374","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i1p60/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1901.07097","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1901.07097","pdf_url":"https://arxiv.org/pdf/1901.07097","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":"text"},{"id":"pmh:oai:eprints.lse.ac.uk:102138","is_oa":true,"landing_page_url":"https://orcid.org/0000-0003-3996-7676>","pdf_url":"http://eprints.lse.ac.uk/102138/4/Skokan_ramsey_number_of_fano_plane_published.pdf","source":{"id":"https://openalex.org/S4306401593","display_name":"London School of Economics and Political Science Research Online (London School of Economics and Political Science)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I909854389","host_organization_name":"London School of Economics and Political Science","host_organization_lineage":["https://openalex.org/I909854389"],"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":"PeerReviewed"},{"id":"pmh:oai:www.research-collection.ethz.ch:20.500.11850/409088","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11850/409088","pdf_url":null,"source":{"id":"https://openalex.org/S4306402302","display_name":"Repository for Publications and Research Data (ETH Zurich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I35440088","host_organization_name":"ETH Zurich","host_organization_lineage":["https://openalex.org/I35440088"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"The Electronic Journal of Combinatorics, 27 (1)","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"doi:10.48550/arxiv.1901.07097","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1901.07097","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"doi:10.3929/ethz-b-000409088","is_oa":true,"landing_page_url":"https://doi.org/10.3929/ethz-b-000409088","pdf_url":null,"source":{"id":"https://openalex.org/S7407051236","display_name":"ETH Z\u00fcrich Research Collection","issn_l":null,"issn":[],"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","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"},{"id":"mag:2914209556","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"doi:10.37236/8374","is_oa":true,"landing_page_url":"https://doi.org/10.37236/8374","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i1p60/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3421757491","display_name":"Sparse Discrete Structures","funder_award_id":"1500121","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5266904418","display_name":null,"funder_award_id":"DMS-1500121","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332222","display_name":"University of Illinois at Urbana-Champaign","ror":"https://ror.org/047426m28"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2914209556.pdf","grobid_xml":"https://content.openalex.org/works/W2914209556.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W1588853369","https://openalex.org/W2035940488","https://openalex.org/W2044830917","https://openalex.org/W2095689360","https://openalex.org/W2104145910","https://openalex.org/W2127163760","https://openalex.org/W2552070334","https://openalex.org/W2962706453","https://openalex.org/W2964021948","https://openalex.org/W6602236641"],"related_works":["https://openalex.org/W3081266286","https://openalex.org/W2899043189","https://openalex.org/W2940776081","https://openalex.org/W2553039757","https://openalex.org/W2885953344","https://openalex.org/W2963274279","https://openalex.org/W2184962212","https://openalex.org/W2527689252","https://openalex.org/W2982522950","https://openalex.org/W2999380864","https://openalex.org/W1500875818","https://openalex.org/W2090526201","https://openalex.org/W3037287844","https://openalex.org/W2605641298","https://openalex.org/W1522046111","https://openalex.org/W2170810426","https://openalex.org/W2949940573","https://openalex.org/W2155551829","https://openalex.org/W3134748274","https://openalex.org/W3019160548"],"abstract_inverted_index":{"The":[0,43],"hypergraph":[1,27,51],"Ramsey":[2],"number":[3],"of":[4,23,35,41,62,116],"two":[5],"$3$-uniform":[6,26],"hypergraphs":[7],"$G$":[8,36],"and":[9,110],"$H$,":[10],"denoted":[11],"by":[12],"$R(G,H)$,":[13],"is":[14,47,64,71,119],"the":[15,24,48,86,113],"least":[16],"integer~$N$":[17],"such":[18],"that":[19,76,98,112],"every":[20,60],"red-blue":[21],"edge-coloring":[22],"complete":[25],"on":[28,55,107],"$N$":[29],"vertices":[30,57,63],"contains":[31],"a":[32,38,67,72],"red":[33],"copy":[34,40],"or":[37],"blue":[39],"$H$.":[42],"Fano":[44],"plane":[45],"$\\mathbb{F}$":[46],"unique":[49,68],"3-uniform":[50],"with":[52],"seven":[53,56],"edges":[54],"in":[58,66],"which":[59,85],"pair":[61],"contained":[65],"edge.":[69],"There":[70],"simple":[73],"construction":[74],"showing":[75],"$R(H,\\mathbb{F})":[77],"\\ge":[78],"2(v(H)-1)":[79],"+":[80],"1.$":[81],"Hypergraphs":[82],"$H$":[83,97],"for":[84],"equality":[87],"holds":[88],"are":[89,99],"called":[90],"$\\mathbb{F}$-good.":[91,120],"Conlon":[92],"asked":[93],"to":[94],"determine":[95],"all":[96],"$\\mathbb{F}$-good.In":[100],"this":[101,108],"short":[102],"paper":[103],"we":[104],"make":[105],"progress":[106],"problem":[109],"prove":[111],"tight":[114],"path":[115],"length":[117],"$n$":[118]},"counts_by_year":[],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}