{"id":"https://openalex.org/W3209777956","doi":"https://doi.org/10.1007/978-3-030-89543-3_35","title":"The Concentration of the Maximum Degree in the Duplication-Divergence Models","display_name":"The Concentration of the Maximum Degree in the Duplication-Divergence Models","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3209777956","doi":"https://doi.org/10.1007/978-3-030-89543-3_35","mag":"3209777956"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-89543-3_35","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-89543-3_35","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://ruj.uj.edu.pl/xmlui/handle/item/292451","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056950019","display_name":"Alan Frieze","orcid":"https://orcid.org/0000-0002-8481-5615"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alan Frieze","raw_affiliation_strings":["Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011996079","display_name":"Krzysztof Turowski","orcid":"https://orcid.org/0000-0003-3871-1038"},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Krzysztof Turowski","raw_affiliation_strings":["Department of Theoretical Computer Science, Jagiellonian University, Krak\u00f3w, Poland"],"affiliations":[{"raw_affiliation_string":"Department of Theoretical Computer Science, Jagiellonian University, Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I126596746"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019536160","display_name":"Wojciech Szpankowski","orcid":"https://orcid.org/0000-0001-9062-0067"},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]},{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["PL","US"],"is_corresponding":false,"raw_author_name":"Wojciech Szpankowski","raw_affiliation_strings":["Center for Science of Information, Department of Computer Science, Purdue University, West Lafayette, USA","Department of Theoretical Computer Science, Jagiellonian University, Krak\u00f3w, Poland"],"affiliations":[{"raw_affiliation_string":"Center for Science of Information, Department of Computer Science, Purdue University, West Lafayette, USA","institution_ids":["https://openalex.org/I219193219"]},{"raw_affiliation_string":"Department of Theoretical Computer Science, Jagiellonian University, Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I126596746"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5056950019"],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.26975259,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"413","last_page":"424"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9987000226974487,"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":0.9980999827384949,"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/divergence","display_name":"Divergence (linguistics)","score":0.7448176741600037},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.7087957859039307},{"id":"https://openalex.org/keywords/gene-duplication","display_name":"Gene duplication","score":0.4442482888698578},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39916670322418213},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3559653162956238},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3277657926082611},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1899157464504242},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.1288769543170929},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.07399022579193115},{"id":"https://openalex.org/keywords/genetics","display_name":"Genetics","score":0.06368139386177063},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.039922356605529785}],"concepts":[{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.7448176741600037},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.7087957859039307},{"id":"https://openalex.org/C7602840","wikidata":"https://www.wikidata.org/wiki/Q746284","display_name":"Gene duplication","level":3,"score":0.4442482888698578},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39916670322418213},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3559653162956238},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3277657926082611},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1899157464504242},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.1288769543170929},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.07399022579193115},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.06368139386177063},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.039922356605529785},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-030-89543-3_35","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-89543-3_35","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:ruj.uj.edu.pl:item/292451","is_oa":true,"landing_page_url":"https://ruj.uj.edu.pl/xmlui/handle/item/292451","pdf_url":null,"source":{"id":"https://openalex.org/S4306400316","display_name":"Homo Politicus (Academy of Humanities and Economics in Lodz)","issn_l":null,"issn":null,"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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"publikacja pokonferencyjna"}],"best_oa_location":{"id":"pmh:oai:ruj.uj.edu.pl:item/292451","is_oa":true,"landing_page_url":"https://ruj.uj.edu.pl/xmlui/handle/item/292451","pdf_url":null,"source":{"id":"https://openalex.org/S4306400316","display_name":"Homo Politicus (Academy of Humanities and Economics in Lodz)","issn_l":null,"issn":null,"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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"publikacja pokonferencyjna"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5799999833106995}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W390146837","https://openalex.org/W1875112053","https://openalex.org/W2008620264","https://openalex.org/W2048451896","https://openalex.org/W2056380633","https://openalex.org/W2087887302","https://openalex.org/W2091778013","https://openalex.org/W2108760444","https://openalex.org/W2110482684","https://openalex.org/W2112090702","https://openalex.org/W2148747532","https://openalex.org/W2290127356","https://openalex.org/W2296215930","https://openalex.org/W2336317531","https://openalex.org/W2905110430","https://openalex.org/W2922346813","https://openalex.org/W2951698399","https://openalex.org/W2963907685","https://openalex.org/W2975464350","https://openalex.org/W3002559069","https://openalex.org/W3010781204","https://openalex.org/W3037173771","https://openalex.org/W3037730079","https://openalex.org/W3096001313","https://openalex.org/W3132695120","https://openalex.org/W3144881883","https://openalex.org/W4234567516","https://openalex.org/W4238452917","https://openalex.org/W4312512934"],"related_works":["https://openalex.org/W1996842245","https://openalex.org/W1516407058","https://openalex.org/W2053561000","https://openalex.org/W2312790158","https://openalex.org/W2963602586","https://openalex.org/W2324782219","https://openalex.org/W2111945222","https://openalex.org/W2770036955","https://openalex.org/W2052299887","https://openalex.org/W2367376693"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
