{"id":"https://openalex.org/W2058193019","doi":"https://doi.org/10.1002/rsa.3240050304","title":"Unlabeled trees: Distribution of the maximum degree","display_name":"Unlabeled trees: Distribution of the maximum degree","publication_year":1994,"publication_date":"1994-07-01","ids":{"openalex":"https://openalex.org/W2058193019","doi":"https://doi.org/10.1002/rsa.3240050304","mag":"2058193019"},"language":"en","primary_location":{"id":"doi:10.1002/rsa.3240050304","is_oa":false,"landing_page_url":"https://doi.org/10.1002/rsa.3240050304","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Random Structures &amp; Algorithms","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/A5032195502","display_name":"William M. Y. Goh","orcid":null},"institutions":[{"id":"https://openalex.org/I72816309","display_name":"Drexel University","ror":"https://ror.org/04bdffz58","country_code":"US","type":"education","lineage":["https://openalex.org/I72816309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"William M. Y. Goh","raw_affiliation_strings":["Drexel University, Philadelphia, PA 19104"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Drexel University, Philadelphia, PA 19104","institution_ids":["https://openalex.org/I72816309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048043622","display_name":"Eric Schmutz","orcid":null},"institutions":[{"id":"https://openalex.org/I72816309","display_name":"Drexel University","ror":"https://ror.org/04bdffz58","country_code":"US","type":"education","lineage":["https://openalex.org/I72816309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eric Schmutz","raw_affiliation_strings":["Drexel University, Philadelphia, PA 19104"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Drexel University, Philadelphia, PA 19104","institution_ids":["https://openalex.org/I72816309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I72816309"],"apc_list":{"value":4330,"currency":"USD","value_usd":4330},"apc_paid":null,"fwci":0.7641,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.64177694,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"5","issue":"3","first_page":"411","last_page":"440"},"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":0.9947999715805054,"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":0.9947999715805054,"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":0.9919000267982483,"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/T11476","display_name":"Graph theory and applications","score":0.9789000153541565,"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/combinatorics","display_name":"Combinatorics","score":0.8742470741271973},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.7290737628936768},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.6974642276763916},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6796144843101501},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5471346974372864},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.5010378360748291},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.446354478597641},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17926549911499023},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11866706609725952},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09827461838722229},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0918160080909729}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8742470741271973},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.7290737628936768},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.6974642276763916},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6796144843101501},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5471346974372864},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5010378360748291},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.446354478597641},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17926549911499023},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11866706609725952},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09827461838722229},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0918160080909729},{"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:10.1002/rsa.3240050304","is_oa":false,"landing_page_url":"https://doi.org/10.1002/rsa.3240050304","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Random Structures &amp; Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W185456924","https://openalex.org/W606453859","https://openalex.org/W1983188796","https://openalex.org/W2014950423","https://openalex.org/W2030794273","https://openalex.org/W2032180500","https://openalex.org/W2035160364","https://openalex.org/W2066828720","https://openalex.org/W2083365919","https://openalex.org/W2101041418","https://openalex.org/W2168559467","https://openalex.org/W2319000796","https://openalex.org/W4205898702","https://openalex.org/W6607456502"],"related_works":["https://openalex.org/W3161230432","https://openalex.org/W2168900540","https://openalex.org/W4367190712","https://openalex.org/W280458463","https://openalex.org/W1170131723","https://openalex.org/W2399035783","https://openalex.org/W4301429470","https://openalex.org/W2125310826","https://openalex.org/W2339723535","https://openalex.org/W2380536887"],"abstract_inverted_index":{"Abstract":[0],"Pick":[1],"a":[2],"tree":[3],"uniformly":[4],"at":[5],"random":[6],"from":[7],"among":[8],"all":[9],"unlabeled":[10],"trees":[11],"on":[12],"n":[13,18,37,41,46,50,55,64],"vertices,":[14],"and":[15,65,73,92],"let":[16],"X":[17],"be":[19],"the":[20,23,59],"maximum":[21],"of":[22,25,62],"degrees":[24],"its":[26],"vertices.":[27],"For":[28],"any":[29],"fixed":[30],"integer":[31],"d":[32],",":[33,47,69,72],"magnified":[34],"image":[35],"as":[36],"\u2192\u221e,":[38],"where":[39,48,66],"\u03bc":[40,54,63],"=":[42,53,84,89,95],"c":[43,67,70,82,87],"1":[44,71,88],"log":[45],"{\u03bc":[49],"}":[51],":":[52],"\u2013":[56],"\u230a\u03bc\u230b":[57],"denotes":[58],"fractional":[60],"part":[61],"o":[68],"\u03b7":[74,93],"\u221e":[75,94],"are":[76],"knnown":[77],"constants,":[78],"givenb":[79],"approximately":[80],"by":[81],"0":[83],"3.262":[85],"\u2026,":[86,91],"0.9227":[90],"0.3383\u2026.":[96],"\u00a9":[97],"1994":[98],"John":[99],"Wiley":[100],"&amp;":[101],"Sons,":[102],"Inc.":[103]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
