{"id":"https://openalex.org/W2020005532","doi":"https://doi.org/10.1016/s0166-218x(98)00128-0","title":"Retractions of finite distance functions onto tree metrics","display_name":"Retractions of finite distance functions onto tree metrics","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W2020005532","doi":"https://doi.org/10.1016/s0166-218x(98)00128-0","mag":"2020005532"},"language":"en","primary_location":{"id":"doi:10.1016/s0166-218x(98)00128-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0166-218x(98)00128-0","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","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/A5042929579","display_name":"Vincent Moulton","orcid":"https://orcid.org/0000-0001-9371-6435"},"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":"Vincent Moulton","raw_affiliation_strings":["Biomathematics Research Centre, University of Canterbury. Private Bag 4800, Christchurch, New Zealand","Biomathematics Research Centre, University of Canterbury, Private Bag, 4800, Christchurch, New Zealand"],"affiliations":[{"raw_affiliation_string":"Biomathematics Research Centre, University of Canterbury. Private Bag 4800, Christchurch, New Zealand","institution_ids":["https://openalex.org/I185492890"]},{"raw_affiliation_string":"Biomathematics Research Centre, University of Canterbury, Private Bag, 4800, Christchurch, New Zealand","institution_ids":["https://openalex.org/I185492890"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035720494","display_name":"Mike Steel","orcid":"https://orcid.org/0000-0001-7015-4644"},"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":true,"raw_author_name":"Mike Steel","raw_affiliation_strings":["Biomathematics Research Centre, University of Canterbury. Private Bag 4800, Christchurch, New Zealand","Biomathematics Research Centre, University of Canterbury, Private Bag, 4800, Christchurch, New Zealand"],"affiliations":[{"raw_affiliation_string":"Biomathematics Research Centre, University of Canterbury. Private Bag 4800, Christchurch, New Zealand","institution_ids":["https://openalex.org/I185492890"]},{"raw_affiliation_string":"Biomathematics Research Centre, University of Canterbury, Private Bag, 4800, Christchurch, New Zealand","institution_ids":["https://openalex.org/I185492890"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5035720494"],"corresponding_institution_ids":["https://openalex.org/I185492890"],"apc_list":{"value":2750,"currency":"USD","value_usd":2750},"apc_paid":null,"fwci":4.2511,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.93621471,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"91","issue":"1-3","first_page":"215","last_page":"233"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11354","display_name":"Evolution and Paleontology Studies","score":0.9563999772071838,"subfield":{"id":"https://openalex.org/subfields/1911","display_name":"Paleontology"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11354","display_name":"Evolution and Paleontology Studies","score":0.9563999772071838,"subfield":{"id":"https://openalex.org/subfields/1911","display_name":"Paleontology"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10887","display_name":"Bioinformatics and Genomic Networks","score":0.9541000127792358,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10012","display_name":"Genetic diversity and population structure","score":0.9336000084877014,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.763922929763794},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.713477611541748},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.6563674807548523},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.545222818851471},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5243525505065918},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.4515751898288727},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.42281368374824524},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.41289907693862915},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4026210308074951},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37571632862091064},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3291124701499939},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2124481499195099},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1614896059036255}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.763922929763794},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.713477611541748},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.6563674807548523},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.545222818851471},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5243525505065918},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.4515751898288727},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.42281368374824524},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.41289907693862915},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4026210308074951},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37571632862091064},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3291124701499939},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2124481499195099},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1614896059036255},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/s0166-218x(98)00128-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0166-218x(98)00128-0","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:ir.canterbury.ac.nz:10092/11597","is_oa":false,"landing_page_url":"http://hdl.handle.net/10092/11597","pdf_url":null,"source":{"id":"https://openalex.org/S4306401103","display_name":"University of Canterbury Research Repository (University of Canterbury)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I185492890","host_organization_name":"University of Canterbury","host_organization_lineage":["https://openalex.org/I185492890"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Discussion / Working Papers"},{"id":"pmh:oai:ueaeprints.uea.ac.uk:23956","is_oa":false,"landing_page_url":"https://ueaeprints.uea.ac.uk/id/eprint/23956/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400384","display_name":"UEA Digital Repository (University of East Anglia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1118541","host_organization_name":"University of East Anglia","host_organization_lineage":["https://openalex.org/I1118541"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320335369","display_name":"Marsden Fund","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1843274134","https://openalex.org/W1876421275","https://openalex.org/W1981818930","https://openalex.org/W1996222640","https://openalex.org/W1998867815","https://openalex.org/W2042959539","https://openalex.org/W2046837061","https://openalex.org/W2048303023","https://openalex.org/W2058115577","https://openalex.org/W2059663227","https://openalex.org/W2072029738","https://openalex.org/W2074507113","https://openalex.org/W2162443218","https://openalex.org/W2166838615","https://openalex.org/W2319929750","https://openalex.org/W2800852802","https://openalex.org/W3194331646","https://openalex.org/W4206702770","https://openalex.org/W4233212183","https://openalex.org/W6638792727","https://openalex.org/W6639043040","https://openalex.org/W6662086867","https://openalex.org/W6665368892","https://openalex.org/W6683885929","https://openalex.org/W6684422132","https://openalex.org/W6817441935","https://openalex.org/W7002289338"],"related_works":["https://openalex.org/W2353644209","https://openalex.org/W2348743188","https://openalex.org/W4387423451","https://openalex.org/W2902317490","https://openalex.org/W1741600793","https://openalex.org/W2096879929","https://openalex.org/W2593663830","https://openalex.org/W2004183686","https://openalex.org/W2381703089","https://openalex.org/W4297851895"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
