{"id":"https://openalex.org/W3126776890","doi":"https://doi.org/10.1017/s0963548320000528","title":"On the Erd\u0151s\u2013S\u00f3s conjecture for trees with bounded degree","display_name":"On the Erd\u0151s\u2013S\u00f3s conjecture for trees with bounded degree","publication_year":2021,"publication_date":"2021-02-01","ids":{"openalex":"https://openalex.org/W3126776890","doi":"https://doi.org/10.1017/s0963548320000528","mag":"3126776890"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548320000528","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548320000528","pdf_url":null,"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":null,"license_id":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046572388","display_name":"Guido Besomi","orcid":null},"institutions":[{"id":"https://openalex.org/I69737025","display_name":"University of Chile","ror":"https://ror.org/047gc3g35","country_code":"CL","type":"education","lineage":["https://openalex.org/I69737025"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Guido Besomi","raw_affiliation_strings":["Department of Mathematical Engineering, University of Chile"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Engineering, University of Chile","institution_ids":["https://openalex.org/I69737025"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003330887","display_name":"Mat\u00edas Pavez\u2010Sign\u00e9","orcid":"https://orcid.org/0000-0001-9418-5058"},"institutions":[{"id":"https://openalex.org/I69737025","display_name":"University of Chile","ror":"https://ror.org/047gc3g35","country_code":"CL","type":"education","lineage":["https://openalex.org/I69737025"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Mat\u00edas Pavez-Sign\u00e9","raw_affiliation_strings":["Department of Mathematical Engineering, University of Chile"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Engineering, University of Chile","institution_ids":["https://openalex.org/I69737025"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019888754","display_name":"Maya Stein","orcid":"https://orcid.org/0000-0001-7922-6413"},"institutions":[{"id":"https://openalex.org/I69737025","display_name":"University of Chile","ror":"https://ror.org/047gc3g35","country_code":"CL","type":"education","lineage":["https://openalex.org/I69737025"]}],"countries":["CL"],"is_corresponding":true,"raw_author_name":"Maya Stein","raw_affiliation_strings":["Department of Mathematical Engineering, University of Chile"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Engineering, University of Chile","institution_ids":["https://openalex.org/I69737025"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5019888754"],"corresponding_institution_ids":["https://openalex.org/I69737025"],"apc_list":null,"apc_paid":null,"fwci":5.0947,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.96140571,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"30","issue":"5","first_page":"741","last_page":"761"},"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":0.9998999834060669,"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":0.9998999834060669,"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":0.9970999956130981,"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"}},{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.996399998664856,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.8456282615661621},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.8428187966346741},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.8092551231384277},{"id":"https://openalex.org/keywords/corollary","display_name":"Corollary","score":0.7694456577301025},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7217922210693359},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6996026635169983},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5693186521530151},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5660744905471802},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41393840312957764},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14892852306365967},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08905291557312012},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07858210802078247}],"concepts":[{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.8456282615661621},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.8428187966346741},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.8092551231384277},{"id":"https://openalex.org/C2780012671","wikidata":"https://www.wikidata.org/wiki/Q1343870","display_name":"Corollary","level":2,"score":0.7694456577301025},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7217922210693359},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6996026635169983},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5693186521530151},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5660744905471802},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41393840312957764},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14892852306365967},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08905291557312012},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07858210802078247},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0963548320000528","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548320000528","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1568934558","https://openalex.org/W1582742149","https://openalex.org/W1996106086","https://openalex.org/W1999776769","https://openalex.org/W2026053156","https://openalex.org/W2032025600","https://openalex.org/W2116537669","https://openalex.org/W2301178714","https://openalex.org/W2466652589","https://openalex.org/W2802296417","https://openalex.org/W2940226499","https://openalex.org/W2945460576","https://openalex.org/W2971194821","https://openalex.org/W2972129161","https://openalex.org/W2982829914","https://openalex.org/W3106396105"],"related_works":["https://openalex.org/W2376029318","https://openalex.org/W2388301251","https://openalex.org/W2013770701","https://openalex.org/W3013941779","https://openalex.org/W1998659141","https://openalex.org/W1581373162","https://openalex.org/W4281257855","https://openalex.org/W2953122955","https://openalex.org/W603099989","https://openalex.org/W4367190712"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"prove":[2],"the":[3,26],"Erd\u0151s\u2013S\u00f3s":[4],"conjecture":[5],"for":[6],"trees":[7,32],"with":[8],"bounded":[9,37],"maximum":[10,34],"degree":[11,35],"and":[12],"large":[13,31],"dense":[14],"host":[15],"graphs.":[16],"As":[17],"a":[18,39],"corollary,":[19],"we":[20],"obtain":[21],"an":[22],"upper":[23],"bound":[24],"on":[25],"multicolour":[27],"Ramsey":[28],"number":[29],"of":[30],"whose":[33],"is":[36],"by":[38],"constant.":[40]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
