{"id":"https://openalex.org/W1995848967","doi":"https://doi.org/10.1137/s0097539795296334","title":"On the Approximability of Numerical Taxonomy (Fitting Distances by Tree Metrics)","display_name":"On the Approximability of Numerical Taxonomy (Fitting Distances by Tree Metrics)","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W1995848967","doi":"https://doi.org/10.1137/s0097539795296334","mag":"1995848967"},"language":"en","primary_location":{"id":"doi:10.1137/s0097539795296334","doi":"https://doi.org/10.1137/s0097539795296334","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539795296334","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["ccf-a","cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"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 Computing","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.82444/warw.33529693","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032663560","display_name":"Richa Agarwala","orcid":"https://orcid.org/0000-0002-5518-9723","observed_orcids":["https://orcid.org/0000-0002-5518-9723"]},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]},{"id":"https://openalex.org/I2799411422","display_name":"Center for Discrete Mathematics and Theoretical Computer Science","ror":"https://ror.org/00k551w06","country_code":"US","type":"facility","lineage":["https://openalex.org/I102322142","https://openalex.org/I118347220","https://openalex.org/I1283103587","https://openalex.org/I1311060795","https://openalex.org/I20089843","https://openalex.org/I2799411422","https://openalex.org/I4210107353"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Richa Agarwala","raw_affiliation_strings":["DIMACS, Rutgers University, Piscataway, NJ 08855, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DIMACS, Rutgers University, Piscataway, NJ 08855, USA","institution_ids":["https://openalex.org/I102322142","https://openalex.org/I2799411422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028801735","display_name":"Vineet Bafna","orcid":"https://orcid.org/0000-0002-5810-6241","observed_orcids":["https://orcid.org/0000-0002-5810-6241"]},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]},{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]},{"id":"https://openalex.org/I1299303238","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88","country_code":"US","type":"government","lineage":["https://openalex.org/I1299022934","https://openalex.org/I1299303238"]},{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]},{"id":"https://openalex.org/I4210090236","display_name":"National Human Genome Research Institute","ror":"https://ror.org/00baak391","country_code":"US","type":"facility","lineage":["https://openalex.org/I1299022934","https://openalex.org/I1299303238","https://openalex.org/I4210090236"]}],"countries":["DK","GB","US"],"is_corresponding":false,"raw_author_name":"Vineet Bafna","raw_affiliation_strings":["Department of Computer Science, University of Warwick, Coventry CV4 7AL, UK","ALCOM-IT. {Department of Computer Science, University of Copenhagen, Universitetsparken 1, 2100 Kbh. A, Denmark","Department of Computer Science University of Warwick Coventry CY4\"lAL United Kingdom","National Human Genome Research Insti-tute/National Institutes of Health, Bethesda, MD 20892,","Warwick. Department of Computer Science. (Department of Computer Science Research","tDepartment of Computer Science, Rutgers University, Piscataway, NJ 08855, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Warwick, Coventry CV4 7AL, UK","institution_ids":["https://openalex.org/I39555362"]},{"raw_affiliation_string":"ALCOM-IT. {Department of Computer Science, University of Copenhagen, Universitetsparken 1, 2100 Kbh. A, Denmark","institution_ids":["https://openalex.org/I124055696"]},{"raw_affiliation_string":"Department of Computer Science University of Warwick Coventry CY4\"lAL United Kingdom","institution_ids":["https://openalex.org/I39555362"]},{"raw_affiliation_string":"National Human Genome Research Insti-tute/National Institutes of Health, Bethesda, MD 20892,","institution_ids":["https://openalex.org/I1299303238","https://openalex.org/I4210090236"]},{"raw_affiliation_string":"Warwick. Department of Computer Science. (Department of Computer Science Research","institution_ids":["https://openalex.org/I39555362"]},{"raw_affiliation_string":"tDepartment of Computer Science, Rutgers University, Piscataway, NJ 08855, USA","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087023890","display_name":"Mart\u0131\u0301n Farach-Colton","orcid":"https://orcid.org/0000-0003-3616-7788","observed_orcids":["https://orcid.org/0000-0003-3616-7788"]},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]},{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]},{"id":"https://openalex.org/I1299303238","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88","country_code":"US","type":"government","lineage":["https://openalex.org/I1299022934","https://openalex.org/I1299303238"]},{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]},{"id":"https://openalex.org/I4210090236","display_name":"National Human Genome Research Institute","ror":"https://ror.org/00baak391","country_code":"US","type":"facility","lineage":["https://openalex.org/I1299022934","https://openalex.org/I1299303238","https://openalex.org/I4210090236"]}],"countries":["DK","GB","US"],"is_corresponding":false,"raw_author_name":"Martin Farach","raw_affiliation_strings":["Department of Computer Science, University of Warwick, Coventry CV4 7AL, UK","ALCOM-IT. {Department of Computer Science, University of Copenhagen, Universitetsparken 1, 2100 Kbh. A, Denmark","Department of Computer Science University of Warwick Coventry CY4\"lAL United Kingdom","National Human Genome Research Insti-tute/National Institutes of Health, Bethesda, MD 20892,","Warwick. Department of Computer Science. (Department of Computer Science Research","tDepartment of Computer Science, Rutgers University, Piscataway, NJ 08855, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Warwick, Coventry CV4 7AL, UK","institution_ids":["https://openalex.org/I39555362"]},{"raw_affiliation_string":"ALCOM-IT. {Department of Computer Science, University of Copenhagen, Universitetsparken 1, 2100 Kbh. A, Denmark","institution_ids":["https://openalex.org/I124055696"]},{"raw_affiliation_string":"Department of Computer Science University of Warwick Coventry CY4\"lAL United Kingdom","institution_ids":["https://openalex.org/I39555362"]},{"raw_affiliation_string":"National Human Genome Research Insti-tute/National Institutes of Health, Bethesda, MD 20892,","institution_ids":["https://openalex.org/I1299303238","https://openalex.org/I4210090236"]},{"raw_affiliation_string":"Warwick. Department of Computer Science. (Department of Computer Science Research","institution_ids":["https://openalex.org/I39555362"]},{"raw_affiliation_string":"tDepartment of Computer Science, Rutgers University, Piscataway, NJ 08855, USA","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063801356","display_name":"Mike Paterson","orcid":"https://orcid.org/0000-0003-0426-3468","observed_orcids":["https://orcid.org/0000-0003-0426-3468"]},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]},{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]},{"id":"https://openalex.org/I1299303238","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88","country_code":"US","type":"government","lineage":["https://openalex.org/I1299022934","https://openalex.org/I1299303238"]},{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]},{"id":"https://openalex.org/I4210090236","display_name":"National Human Genome Research Institute","ror":"https://ror.org/00baak391","country_code":"US","type":"facility","lineage":["https://openalex.org/I1299022934","https://openalex.org/I1299303238","https://openalex.org/I4210090236"]}],"countries":["DK","GB","US"],"is_corresponding":false,"raw_author_name":"Mike Paterson","raw_affiliation_strings":["Department of Computer Science, University of Warwick, Coventry CV4 7AL, UK","ALCOM-IT. {Department of Computer Science, University of Copenhagen, Universitetsparken 1, 2100 Kbh. A, Denmark","Department of Computer Science University of Warwick Coventry CY4\"lAL United Kingdom","National Human Genome Research Insti-tute/National Institutes of Health, Bethesda, MD 20892,","Warwick. Department of Computer Science. (Department of Computer Science Research","tDepartment of Computer Science, Rutgers University, Piscataway, NJ 08855, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Warwick, Coventry CV4 7AL, UK","institution_ids":["https://openalex.org/I39555362"]},{"raw_affiliation_string":"ALCOM-IT. {Department of Computer Science, University of Copenhagen, Universitetsparken 1, 2100 Kbh. A, Denmark","institution_ids":["https://openalex.org/I124055696"]},{"raw_affiliation_string":"Department of Computer Science University of Warwick Coventry CY4\"lAL United Kingdom","institution_ids":["https://openalex.org/I39555362"]},{"raw_affiliation_string":"National Human Genome Research Insti-tute/National Institutes of Health, Bethesda, MD 20892,","institution_ids":["https://openalex.org/I1299303238","https://openalex.org/I4210090236"]},{"raw_affiliation_string":"Warwick. Department of Computer Science. (Department of Computer Science Research","institution_ids":["https://openalex.org/I39555362"]},{"raw_affiliation_string":"tDepartment of Computer Science, Rutgers University, Piscataway, NJ 08855, USA","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039232562","display_name":"Mikkel Thorup","orcid":"https://orcid.org/0000-0001-5237-1709","observed_orcids":["https://orcid.org/0000-0001-5237-1709"]},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]},{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]},{"id":"https://openalex.org/I1299303238","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88","country_code":"US","type":"government","lineage":["https://openalex.org/I1299022934","https://openalex.org/I1299303238"]},{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]},{"id":"https://openalex.org/I4210090236","display_name":"National Human Genome Research Institute","ror":"https://ror.org/00baak391","country_code":"US","type":"facility","lineage":["https://openalex.org/I1299022934","https://openalex.org/I1299303238","https://openalex.org/I4210090236"]}],"countries":["DK","GB","US"],"is_corresponding":false,"raw_author_name":"Mikkel Thorup","raw_affiliation_strings":["Department of Computer Science, University of Warwick, Coventry CV4 7AL, UK","ALCOM-IT. {Department of Computer Science, University of Copenhagen, Universitetsparken 1, 2100 Kbh. A, Denmark","Department of Computer Science University of Warwick Coventry CY4\"lAL United Kingdom","National Human Genome Research Insti-tute/National Institutes of Health, Bethesda, MD 20892,","Warwick. Department of Computer Science. (Department of Computer Science Research","tDepartment of Computer Science, Rutgers University, Piscataway, NJ 08855, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Warwick, Coventry CV4 7AL, UK","institution_ids":["https://openalex.org/I39555362"]},{"raw_affiliation_string":"ALCOM-IT. {Department of Computer Science, University of Copenhagen, Universitetsparken 1, 2100 Kbh. A, Denmark","institution_ids":["https://openalex.org/I124055696"]},{"raw_affiliation_string":"Department of Computer Science University of Warwick Coventry CY4\"lAL United Kingdom","institution_ids":["https://openalex.org/I39555362"]},{"raw_affiliation_string":"National Human Genome Research Insti-tute/National Institutes of Health, Bethesda, MD 20892,","institution_ids":["https://openalex.org/I1299303238","https://openalex.org/I4210090236"]},{"raw_affiliation_string":"Warwick. Department of Computer Science. (Department of Computer Science Research","institution_ids":["https://openalex.org/I39555362"]},{"raw_affiliation_string":"tDepartment of Computer Science, Rutgers University, Piscataway, NJ 08855, USA","institution_ids":["https://openalex.org/I102322142"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.1577,"has_fulltext":false,"cited_by_count":116,"citation_normalized_percentile":{"value":0.96961384,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"28","issue":"3","first_page":"1073","last_page":"1085"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9984999895095825,"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"}},"topics":[{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9984999895095825,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.0005000000237487257,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10374","display_name":"Advanced Graph Theory Research","score":9.999999747378752e-05,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/numerical-taxonomy","display_name":"numerical taxonomy","score":0.9169999957084656},{"id":"https://openalex.org/keywords/tree-metrics","display_name":"tree metrics","score":0.921999990940094},{"id":"https://openalex.org/keywords/approximation-algorithms","display_name":"approximation algorithms","score":0.8140000104904175},{"id":"https://openalex.org/keywords/np-hardness","display_name":"NP-hardness","score":0.9020000100135803},{"id":"https://openalex.org/keywords/l-infinity-norm","display_name":"L-infinity norm","score":0.7300000190734863},{"id":"https://openalex.org/keywords/phylogenetic-tree","display_name":"phylogenetic tree","score":0.781000018119812},{"id":"https://openalex.org/keywords/performance-guarantees","display_name":"performance guarantees","score":0.47600001096725464}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7450047135353088},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.6691328287124634},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6404564380645752},{"id":"https://openalex.org/C111208986","wikidata":"https://www.wikidata.org/wiki/Q901698","display_name":"Distance matrix","level":2,"score":0.6273251175880432},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.533654510974884},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.45283812284469604},{"id":"https://openalex.org/C120373497","wikidata":"https://www.wikidata.org/wiki/Q1087987","display_name":"Parallel algorithm","level":2,"score":0.4215197265148163},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.41447341442108154},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.374511182308197},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23887568712234497},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":8,"locations":[{"id":"doi:10.1137/s0097539795296334","doi":"https://doi.org/10.1137/s0097539795296334","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539795296334","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["ccf-a","cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"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 Computing","raw_type":"journal-article"},{"id":"pmh:oai:wrap.warwick.ac.uk:61018","doi":null,"is_oa":false,"landing_page_url":"http://wrap.warwick.ac.uk/61018/7/WRAP_cs-rr-330.pdf","pdf_url":"http://wrap.warwick.ac.uk/61018/7/WRAP_cs-rr-330.pdf","source":{"id":"https://openalex.org/S4306400665","display_name":"Warwick Research Archive Portal (University of Warwick)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I39555362","host_organization_name":"University of Warwick","host_organization_lineage":["https://openalex.org/I39555362"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Report"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.45.6109","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.45.6109","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.cs.rutgers.edu/pub/farach/Additive.ps.Z","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.51.5709","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.51.5709","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.dcs.warwick.ac.uk/~grahamc/ALCOM/Reports97/apnuta.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.51.6652","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.51.6652","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.dcs.warwick.ac.uk/~msp/papers/taxonomy.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.56.9121","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.56.9121","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://dimacs.rutgers.edu/pub/dimacs/TechnicalReports/TechReports/1995/95-46.ps.gz","raw_type":"text"},{"id":"pmh:hdl:10068/653646","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/10068/653646","pdf_url":null,"source":{"id":"https://openalex.org/S4377196900","display_name":"OpenGrey (Institut de l'Information Scientifique et Technique)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1295345811","host_organization_name":"Institut de l'Information Scientifique et Technique","host_organization_lineage":["https://openalex.org/I1295345811"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"R - Report"},{"id":"doi:10.82444/warw.33529693","doi":"https://doi.org/10.82444/warw.33529693","is_oa":true,"landing_page_url":"https://doi.org/10.82444/warw.33529693","pdf_url":null,"source":{"id":"https://openalex.org/S7407060609","display_name":"University of Warwick","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"JournalArticle"}],"best_oa_location":{"id":"doi:10.82444/warw.33529693","doi":"https://doi.org/10.82444/warw.33529693","is_oa":true,"landing_page_url":"https://doi.org/10.82444/warw.33529693","pdf_url":null,"source":{"id":"https://openalex.org/S7407060609","display_name":"University of Warwick","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"JournalArticle"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2472919674","display_name":"Career:  Distance Based Methods in Phylogeny Reconstruction: Trees and Strings","funder_award_id":"9501942","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3472005909","display_name":"DIMACS \"Special Year\" in Mathematical Support for Molecular Biology","funder_award_id":"9412594","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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1973912434","https://openalex.org/W1985064024","https://openalex.org/W2000795465","https://openalex.org/W4210306470"],"related_works":["https://openalex.org/W152572553","https://openalex.org/W4412269678","https://openalex.org/W3202370953","https://openalex.org/W3138142731","https://openalex.org/W7118288021","https://openalex.org/W4385473741","https://openalex.org/W7110281332","https://openalex.org/W2041571997","https://openalex.org/W1592914183","https://openalex.org/W2067403633"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,21,24,29,78],"problem":[3,83],"of":[4],"fitting":[5],"an":[6,39],"n":[7,9],"\u00d7":[8],"distance":[10,22],"matrix":[11],"D":[12],"by":[13],"a":[14,46,65,85],"tree":[15,26,47,66],"metric":[16,27,48,67],"T.":[17],"Let":[18],"$\\varepsilon$":[19],"be":[20],"to":[23,63],"closest":[25],"under":[28],"$L_{\\infty}$":[30],"norm;":[31],"that":[32,51,58,70],"is,":[33],"$\\varepsilon=\\min_T\\{\\parallel":[34],"T-D\\parallel{\\infty}\\}$.":[35],"First":[36],"we":[37,56],"present":[38],"O(n":[40],"2":[41],")":[42],"algorithm":[43,80],"for":[44,81],"finding":[45],"T":[49,68],"such":[50,69],"$\\parallel":[52,71],"T-D\\parallel{\\infty}\\leq":[53],"3\\varepsilon$.":[54],"Second":[55],"show":[57],"it":[59],"is":[60],"${\\cal":[61],"NP}$-hard":[62],"find":[64],"T-D\\parallel{\\infty}":[72],"<":[73],"\\frac{9}{8}\\varepsilon$.":[74],"This":[75],"paper":[76],"presents":[77],"first":[79],"this":[82],"with":[84],"performance":[86],"guarantee.":[87]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}