{"id":"https://openalex.org/W4392591899","doi":"https://doi.org/10.1007/s00373-024-02754-z","title":"A Note on the Gy\u00e1rf\u00e1s\u2013Sumner Conjecture","display_name":"A Note on the Gy\u00e1rf\u00e1s\u2013Sumner Conjecture","publication_year":2024,"publication_date":"2024-03-08","ids":{"openalex":"https://openalex.org/W4392591899","doi":"https://doi.org/10.1007/s00373-024-02754-z"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-024-02754-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00373-024-02754-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00373-024-02754-z.pdf","source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00373-024-02754-z.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100642007","display_name":"Tung Nguyen","orcid":"https://orcid.org/0000-0003-1163-2380"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tung Nguyen","raw_affiliation_strings":["Princeton University, Princeton, NJ, 08544, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Princeton University, Princeton, NJ, 08544, USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045091550","display_name":"Alex Scott","orcid":"https://orcid.org/0000-0003-4489-5988"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Alex Scott","raw_affiliation_strings":["Mathematical Institute, University of Oxford, Oxford, OX2 6GG, UK"],"raw_orcid":"https://orcid.org/0000-0003-4489-5988","affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Oxford, Oxford, OX2 6GG, UK","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031948088","display_name":"Paul Seymour","orcid":"https://orcid.org/0000-0003-0067-4534"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Paul Seymour","raw_affiliation_strings":["Princeton University, Princeton, NJ, 08544, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Princeton University, Princeton, NJ, 08544, USA","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5045091550"],"corresponding_institution_ids":["https://openalex.org/I40120149"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":{"value":2890,"currency":"USD","value_usd":2890},"fwci":1.658,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.7862155,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"40","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9976000189781189,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9976000189781189,"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/T11476","display_name":"Graph theory and applications","score":0.9973000288009644,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/mathematics","display_name":"Mathematics","score":0.7205119132995605},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6609994173049927},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6451467275619507},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32212749123573303}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7205119132995605},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6609994173049927},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6451467275619507},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32212749123573303}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00373-024-02754-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00373-024-02754-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00373-024-02754-z.pdf","source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00373-024-02754-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00373-024-02754-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00373-024-02754-z.pdf","source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1523888516","display_name":null,"funder_award_id":"FA9550-","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G1940970491","display_name":null,"funder_award_id":"EP/X013642/","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G2146822515","display_name":null,"funder_award_id":"DMS-2154169","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3448263929","display_name":"DMS-EPSRC INDUCED SUBGRAPHS AND GRAPH STRUCTURE","funder_award_id":"EP/X013642/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G4764071259","display_name":null,"funder_award_id":"FA9550-22-1-0234","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5745604493","display_name":"DMS-EPRSC: Induced Subgraphs and Graph Structure","funder_award_id":"2154169","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5809100787","display_name":null,"funder_award_id":"FA9550","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G6447070560","display_name":null,"funder_award_id":"DMS-2154169","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G7461889428","display_name":null,"funder_award_id":"FA9550-22-1-0234","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G8235098067","display_name":null,"funder_award_id":"EP/X013642/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4392591899.pdf"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W968859509","https://openalex.org/W2029442750","https://openalex.org/W2050675734","https://openalex.org/W2071534536","https://openalex.org/W2094108224","https://openalex.org/W2498182534","https://openalex.org/W2962935610","https://openalex.org/W2978867875","https://openalex.org/W3080973359","https://openalex.org/W3184514170","https://openalex.org/W3193424040","https://openalex.org/W3204767113","https://openalex.org/W4254094289"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4238204885","https://openalex.org/W2963966623"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"Gy\u00e1rf\u00e1s\u2013Sumner":[2],"conjecture":[3],"says":[4],"that":[5,57,70,73],"for":[6,75],"every":[7,11,81],"tree":[8],"T":[9,49,69],"and":[10,35],"integer":[12],"$$t\\ge":[13],"1$$":[14],"<mml:math":[15],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[16],"<mml:mrow>":[17],"<mml:mi>t</mml:mi>":[18],"<mml:mo>\u2265</mml:mo>":[19],"<mml:mn>1</mml:mn>":[20],"</mml:mrow>":[21],"</mml:math>":[22],",":[23,80],"if":[24],"G":[25,42,62,94],"is":[26,71,89],"a":[27,64],"graph":[28],"with":[29,36,85],"no":[30],"clique":[31],"of":[32,83,93],"size":[33],"t":[34],"sufficiently":[37],"large":[38],"chromatic":[39],"number,":[40],"then":[41],"contains":[43,63],"an":[44,90],"induced":[45,91],"subgraph":[46,65],"isomorphic":[47,67],"to":[48,68],".":[50,95],"This":[51],"remains":[52],"open,":[53],"but":[54],"we":[55],"prove":[56],"under":[58],"the":[59],"same":[60],"hypotheses,":[61],"H":[66,84],"\u201cpath-induced\u201d;":[72],"is,":[74],"some":[76],"distinguished":[77],"vertex":[78],"r":[79,88],"path":[82,92],"one":[86],"end":[87]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}