{"id":"https://openalex.org/W1965551472","doi":"https://doi.org/10.1145/1400751.1400807","title":"Online and dynamic embeddings of approximate ultrametrics","display_name":"Online and dynamic embeddings of approximate ultrametrics","publication_year":2008,"publication_date":"2008-08-18","ids":{"openalex":"https://openalex.org/W1965551472","doi":"https://doi.org/10.1145/1400751.1400807","mag":"1965551472"},"language":"en","primary_location":{"id":"doi:10.1145/1400751.1400807","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1400751.1400807","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the twenty-seventh ACM symposium on Principles of distributed computing","raw_type":"proceedings-article"},"type":"conference-paper","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/A5049161363","display_name":"Michael Dinitz","orcid":"https://orcid.org/0000-0002-2632-966X"},"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":"Michael Dinitz","raw_affiliation_strings":["Carnegie Mellon University, Pittsburgh, PA, USA","Carnegie-Mellon University, Pittsburgh, Pa., USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Carnegie-Mellon University, Pittsburgh, Pa., USA#TAB#","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5049161363"],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"416","last_page":"416"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9936000108718872,"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":0.9936000108718872,"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/T10742","display_name":"Peer-to-Peer Network Technologies","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9690999984741211,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/joins","display_name":"Joins","score":0.8055437803268433},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6843624711036682},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.6489792466163635},{"id":"https://openalex.org/keywords/communication-complexity","display_name":"Communication complexity","score":0.6168929934501648},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.5849064588546753},{"id":"https://openalex.org/keywords/latency","display_name":"Latency (audio)","score":0.5376426577568054},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5232057571411133},{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.4572271406650543},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.42926815152168274},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.4191858172416687},{"id":"https://openalex.org/keywords/join","display_name":"Join (topology)","score":0.41747045516967773},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.4139571487903595},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35899361968040466},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3325275480747223},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3021973967552185},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.24372220039367676},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.07723450660705566}],"concepts":[{"id":"https://openalex.org/C2778692605","wikidata":"https://www.wikidata.org/wiki/Q4041866","display_name":"Joins","level":2,"score":0.8055437803268433},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6843624711036682},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.6489792466163635},{"id":"https://openalex.org/C179145077","wikidata":"https://www.wikidata.org/wiki/Q5154130","display_name":"Communication complexity","level":2,"score":0.6168929934501648},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.5849064588546753},{"id":"https://openalex.org/C82876162","wikidata":"https://www.wikidata.org/wiki/Q17096504","display_name":"Latency (audio)","level":2,"score":0.5376426577568054},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5232057571411133},{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.4572271406650543},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.42926815152168274},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.4191858172416687},{"id":"https://openalex.org/C2776124973","wikidata":"https://www.wikidata.org/wiki/Q3183033","display_name":"Join (topology)","level":2,"score":0.41747045516967773},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.4139571487903595},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35899361968040466},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3325275480747223},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3021973967552185},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.24372220039367676},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.07723450660705566},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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:10.1145/1400751.1400807","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1400751.1400807","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the twenty-seventh ACM symposium on Principles of distributed computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W2132051999","https://openalex.org/W2142420687","https://openalex.org/W4248150819"],"related_works":["https://openalex.org/W2393491644","https://openalex.org/W4206577045","https://openalex.org/W3086237447","https://openalex.org/W650102067","https://openalex.org/W1550806730","https://openalex.org/W2589740103","https://openalex.org/W2172084996","https://openalex.org/W1966967794","https://openalex.org/W1501284171","https://openalex.org/W2397450670"],"abstract_inverted_index":{"In":[0,66],"many":[1],"network":[2],"applications":[3],"it":[4,30,45],"would":[5,31,46],"be":[6],"useful":[7],"for":[8,57],"individual":[9],"nodes":[10,107],"to":[11,48,53,108,119],"have":[12,47,100],"knowledge":[13],"of":[14,62,74,104],"distances":[15,28,117],"(e.g.":[16],"latency":[17],"or":[18],"bandwidth)":[19],"in":[20],"the":[21,112],"network.":[22],"If":[23],"every":[24,36,98],"node":[25,43],"stored":[26],"all":[27],"then":[29],"take":[32],"\u03a9(n2)":[33,63],"space":[34,96],"at":[35,97],"node,":[37,99],"and":[38,82,110,114],"furthermore":[39],"when":[40],"a":[41,58,71,120],"new":[42],"joins":[44],"send":[49],"an":[50,78],"\u03a9(n)-bit":[51],"message":[52],"\u03a9(n)":[54],"other":[55],"nodes,":[56],"total":[59],"communication":[60,102],"complexity":[61,103],"per":[64],"update.":[65],"this":[67],"paper":[68],"we":[69,91],"consider":[70],"specific":[72],"class":[73],"metrics,":[75],"those":[76],"obeying":[77],"\u03b5-three":[79],"point":[80],"condition,":[81],"show":[83],"that":[84],"by":[85],"embedding":[86],"these":[87],"metrics":[88],"into":[89],"ultrametrics":[90],"can":[92],"use":[93],"only":[94],"O(n)":[95],"amortized":[101],"O(n4/3)":[105],"(allowing":[106],"join":[109],"leave":[111],"network),":[113],"still":[115],"estimate":[116],"up":[118],"(1+\u03b5)log":[121],"n":[122],"+":[123],"5-stretch":[124],"factor.":[125]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
