{"id":"https://openalex.org/W3024252031","doi":"https://doi.org/10.1137/20m1379678","title":"On the Maximum Agreement Subtree Conjecture for Balanced Trees","display_name":"On the Maximum Agreement Subtree Conjecture for Balanced Trees","publication_year":2022,"publication_date":"2022-01-31","ids":{"openalex":"https://openalex.org/W3024252031","doi":"https://doi.org/10.1137/20m1379678","mag":"3024252031"},"language":"en","primary_location":{"id":"doi:10.1137/20m1379678","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1379678","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2005.07357","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016565949","display_name":"Magnus Bordewich","orcid":"https://orcid.org/0000-0003-1475-8923"},"institutions":[{"id":"https://openalex.org/I190082696","display_name":"Durham University","ror":"https://ror.org/01v29qb04","country_code":"GB","type":"education","lineage":["https://openalex.org/I190082696"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Magnus Bordewich","raw_affiliation_strings":["Department of Computer Science, Durham University, United Kingdom"],"raw_orcid":"https://orcid.org/0000-0003-1475-8923","affiliations":[{"raw_affiliation_string":"Department of Computer Science, Durham University, United Kingdom","institution_ids":["https://openalex.org/I190082696"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023654330","display_name":"Simone Linz","orcid":"https://orcid.org/0000-0003-0862-9594"},"institutions":[{"id":"https://openalex.org/I154130895","display_name":"University of Auckland","ror":"https://ror.org/03b94tp07","country_code":"NZ","type":"education","lineage":["https://openalex.org/I154130895"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"Simone Linz","raw_affiliation_strings":["School of Computer Science, University of Auckland, Auckland, New Zealand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, University of Auckland, Auckland, New Zealand","institution_ids":["https://openalex.org/I154130895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013498747","display_name":"Megan Owen","orcid":"https://orcid.org/0000-0003-2418-5268"},"institutions":[{"id":"https://openalex.org/I1338124936","display_name":"American Museum of Natural History","ror":"https://ror.org/03thb3e06","country_code":"US","type":"archive","lineage":["https://openalex.org/I1338124936"]},{"id":"https://openalex.org/I161301626","display_name":"Lehman College","ror":"https://ror.org/03m908832","country_code":"US","type":"education","lineage":["https://openalex.org/I161301626"]},{"id":"https://openalex.org/I174216632","display_name":"City University of New York","ror":"https://ror.org/00453a208","country_code":"US","type":"education","lineage":["https://openalex.org/I174216632"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Megan Owen","raw_affiliation_strings":["Division of Invertebrate Zoology, American Museum of Natural History, New York, United States","Department of Mathematics, Lehman College, City University of New York, United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Invertebrate Zoology, American Museum of Natural History, New York, United States","institution_ids":["https://openalex.org/I1338124936"]},{"raw_affiliation_string":"Department of Mathematics, Lehman College, City University of New York, United States","institution_ids":["https://openalex.org/I161301626","https://openalex.org/I174216632"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020447053","display_name":"Katherine St. John","orcid":"https://orcid.org/0000-0003-1657-8301"},"institutions":[{"id":"https://openalex.org/I39694355","display_name":"Hunter College","ror":"https://ror.org/00g2xk477","country_code":"US","type":"education","lineage":["https://openalex.org/I39694355"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Katherine St. John","raw_affiliation_strings":["Department of Computer Science, Hunter College, City University of New York, United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Hunter College, City University of New York, United States","institution_ids":["https://openalex.org/I39694355"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049682492","display_name":"Charles Semple","orcid":"https://orcid.org/0000-0002-4315-4195"},"institutions":[{"id":"https://openalex.org/I185492890","display_name":"University of Canterbury","ror":"https://ror.org/03y7q9t39","country_code":"NZ","type":"education","lineage":["https://openalex.org/I185492890"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"Charles Semple","raw_affiliation_strings":["School of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand","institution_ids":["https://openalex.org/I185492890"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039954761","display_name":"Kristina Wicke","orcid":"https://orcid.org/0000-0002-4275-5546"},"institutions":[{"id":"https://openalex.org/I36522303","display_name":"Universit\u00e4t Greifswald","ror":"https://ror.org/00r1edq15","country_code":"DE","type":"education","lineage":["https://openalex.org/I36522303"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Kristina Wicke","raw_affiliation_strings":["Institute of Mathematics and Computer Science, University of Greifswald, Greifswald, Germany"],"raw_orcid":"https://orcid.org/0000-0002-4275-5546","affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Computer Science, University of Greifswald, Greifswald, Germany","institution_ids":["https://openalex.org/I36522303"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5016565949"],"corresponding_institution_ids":["https://openalex.org/I190082696"],"apc_list":null,"apc_paid":null,"fwci":0.2976,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.46956304,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"36","issue":"1","first_page":"336","last_page":"354"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9921000003814697,"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/T10538","display_name":"Data Mining Algorithms and Applications","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/conjecture","display_name":"Conjecture","score":0.8309599161148071},{"id":"https://openalex.org/keywords/agreement","display_name":"Agreement","score":0.6426738500595093},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6236741542816162},{"id":"https://openalex.org/keywords/phylogenetic-tree","display_name":"Phylogenetic tree","score":0.6098180413246155},{"id":"https://openalex.org/keywords/subject","display_name":"Subject (documents)","score":0.5962205529212952},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.542071521282196},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.49758055806159973},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35936370491981506},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3228774070739746},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.32181769609451294},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.14593228697776794},{"id":"https://openalex.org/keywords/library-science","display_name":"Library science","score":0.14221015572547913},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.14147242903709412},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.07519903779029846}],"concepts":[{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.8309599161148071},{"id":"https://openalex.org/C2776818064","wikidata":"https://www.wikidata.org/wiki/Q829903","display_name":"Agreement","level":2,"score":0.6426738500595093},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6236741542816162},{"id":"https://openalex.org/C193252679","wikidata":"https://www.wikidata.org/wiki/Q242125","display_name":"Phylogenetic tree","level":3,"score":0.6098180413246155},{"id":"https://openalex.org/C2777855551","wikidata":"https://www.wikidata.org/wiki/Q12310021","display_name":"Subject (documents)","level":2,"score":0.5962205529212952},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.542071521282196},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.49758055806159973},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35936370491981506},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3228774070739746},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.32181769609451294},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.14593228697776794},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.14221015572547913},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.14147242903709412},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.07519903779029846},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/20m1379678","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1379678","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:dro.dur.ac.uk.OAI2:34342","is_oa":false,"landing_page_url":"http://dro.dur.ac.uk/34342/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196258","display_name":"Durham Research Online (Durham University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I190082696","host_organization_name":"Durham University","host_organization_lineage":["https://openalex.org/I190082696"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"SIAM Journal on Discrete Mathematics, 2022, Vol.36(1), pp.336-354 [Peer Reviewed Journal]","raw_type":"Article"},{"id":"pmh:oai:arXiv.org:2005.07357","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2005.07357","pdf_url":"https://arxiv.org/pdf/2005.07357","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":null,"raw_type":"text"},{"id":"pmh:oai:durham-repository.worktribe.com:1225067","is_oa":true,"landing_page_url":"https://durham-repository.worktribe.com/output/1225067","pdf_url":null,"source":{"id":"https://openalex.org/S4306400188","display_name":"Durham Research Online (Durham University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I190082696","host_organization_name":"Durham University","host_organization_lineage":["https://openalex.org/I190082696"],"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":"","raw_type":"Journal Article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2005.07357","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2005.07357","pdf_url":"https://arxiv.org/pdf/2005.07357","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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4416242855","display_name":null,"funder_award_id":"355824","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G69654828","display_name":null,"funder_award_id":"DMS 1847271","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G91649809","display_name":"CAREER: Statistical and Geometric Analysis for Tree-Shaped Data","funder_award_id":"1847271","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/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320310502","display_name":"University of Canterbury","ror":"https://ror.org/03y7q9t39"},{"id":"https://openalex.org/F4320322572","display_name":"Studienstiftung des Deutschen Volkes","ror":"https://ror.org/05xwwfy96"},{"id":"https://openalex.org/F4320334763","display_name":"Leibniz-Gemeinschaft","ror":"https://ror.org/01n6r0e97"},{"id":"https://openalex.org/F4320335369","display_name":"Marsden Fund","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W181248978","https://openalex.org/W1546313448","https://openalex.org/W1963749031","https://openalex.org/W1979781836","https://openalex.org/W1991701064","https://openalex.org/W2003197664","https://openalex.org/W2003554135","https://openalex.org/W2069910147","https://openalex.org/W2085251214","https://openalex.org/W2104783359","https://openalex.org/W2106706740","https://openalex.org/W2108608076","https://openalex.org/W2117801354","https://openalex.org/W2170927771","https://openalex.org/W2331613197","https://openalex.org/W2479347895","https://openalex.org/W2577202510","https://openalex.org/W2904269467","https://openalex.org/W2963271684","https://openalex.org/W2990568604","https://openalex.org/W3043286155"],"related_works":["https://openalex.org/W4242952733","https://openalex.org/W4312203868","https://openalex.org/W2475581929","https://openalex.org/W2059637021","https://openalex.org/W2038264393","https://openalex.org/W2362218761","https://openalex.org/W1997023990","https://openalex.org/W2062354928","https://openalex.org/W2113708670","https://openalex.org/W2088120817"],"abstract_inverted_index":{"We":[0,72],"give":[1],"a":[2,22,83],"counterexample":[3],"to":[4,85],"the":[5,75,79],"conjecture":[6],"of":[7,27,78,81],"Martin":[8],"and":[9],"Thatte":[10],"that":[11,39,57],"two":[12,47,62],"balanced":[13,48],"rooted":[14,49],"binary":[15,50],"leaf-labelled":[16,51],"trees":[17,52,63],"on":[18,53],"n":[19,31,54,86],"leaves":[20,55],"have":[21],"maximum":[23],"agreement":[24],"subtree":[25],"(MAST)":[26],"size":[28,65,80],"at":[29],"least":[30],"1":[32,69,87],"2":[33,70],".":[34,71,89],"In":[35],"particular,":[36],"we":[37],"show":[38],"for":[40,60],"any":[41,58],"c":[42],"&gt;":[43],"0,":[44],"there":[45],"exist":[46],"such":[56,82],"MAST":[59,84],"these":[61],"has":[64],"less":[66],"than":[67],"cn":[68],"also":[73],"improve":[74],"lower":[76],"bound":[77],"6":[88]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
