{"id":"https://openalex.org/W2963298223","doi":"https://doi.org/10.1145/3188745.3188808","title":"Metric embedding via shortest path decompositions","display_name":"Metric embedding via shortest path decompositions","publication_year":2018,"publication_date":"2018-06-20","ids":{"openalex":"https://openalex.org/W2963298223","doi":"https://doi.org/10.1145/3188745.3188808","mag":"2963298223"},"language":"en","primary_location":{"id":"doi:10.1145/3188745.3188808","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3188745.3188808","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3188745.3188808","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3188745.3188808","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078682514","display_name":"Ittai Abraham","orcid":"https://orcid.org/0000-0001-9568-7674"},"institutions":[{"id":"https://openalex.org/I74786994","display_name":"Kitware (United States)","ror":"https://ror.org/02s2acn37","country_code":"US","type":"company","lineage":["https://openalex.org/I74786994"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ittai Abraham","raw_affiliation_strings":["VMware, USA"],"affiliations":[{"raw_affiliation_string":"VMware, USA","institution_ids":["https://openalex.org/I74786994"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044890369","display_name":"Arnold Filtser","orcid":"https://orcid.org/0000-0001-9578-9304"},"institutions":[{"id":"https://openalex.org/I124227911","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982","country_code":"IL","type":"education","lineage":["https://openalex.org/I124227911"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Arnold Filtser","raw_affiliation_strings":["Ben-Gurion University of the Negev, Israel"],"affiliations":[{"raw_affiliation_string":"Ben-Gurion University of the Negev, Israel","institution_ids":["https://openalex.org/I124227911"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078381067","display_name":"Anupam Gupta","orcid":"https://orcid.org/0000-0001-5579-3405"},"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":false,"raw_author_name":"Anupam Gupta","raw_affiliation_strings":["Carnegie Mellon University, USA"],"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066182501","display_name":"Ofer Neiman","orcid":"https://orcid.org/0000-0003-4179-4364"},"institutions":[{"id":"https://openalex.org/I124227911","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982","country_code":"IL","type":"education","lineage":["https://openalex.org/I124227911"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Ofer Neiman","raw_affiliation_strings":["Ben-Gurion University of the Negev, Israel"],"affiliations":[{"raw_affiliation_string":"Ben-Gurion University of the Negev, Israel","institution_ids":["https://openalex.org/I124227911"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5078682514"],"corresponding_institution_ids":["https://openalex.org/I74786994"],"apc_list":null,"apc_paid":null,"fwci":1.5634,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.85851175,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9984999895095825,"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"}},"topics":[{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9984999895095825,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9922999739646912,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.8377215266227722},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7071138620376587},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.7043132781982422},{"id":"https://openalex.org/keywords/shortest-path-problem","display_name":"Shortest path problem","score":0.5419848561286926},{"id":"https://openalex.org/keywords/distortion","display_name":"Distortion (music)","score":0.5290257930755615},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5192230343818665},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5058348178863525},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4947144687175751},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.48814091086387634},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.480940043926239},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.4203813970088959},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19150936603546143},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12488600611686707},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.07952103018760681},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.06645002961158752},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06061479449272156}],"concepts":[{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.8377215266227722},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7071138620376587},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.7043132781982422},{"id":"https://openalex.org/C22590252","wikidata":"https://www.wikidata.org/wiki/Q1058754","display_name":"Shortest path problem","level":3,"score":0.5419848561286926},{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.5290257930755615},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5192230343818665},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5058348178863525},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4947144687175751},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.48814091086387634},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.480940043926239},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.4203813970088959},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19150936603546143},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12488600611686707},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.07952103018760681},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.06645002961158752},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06061479449272156},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3188745.3188808","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3188745.3188808","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3188745.3188808","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1145/3188745.3188808","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3188745.3188808","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3188745.3188808","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},"sustainable_development_goals":[{"score":0.4000000059604645,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G1348261752","display_name":null,"funder_award_id":"CCF-1536002, CCF-1540541, CCF-1617790","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1453775189","display_name":null,"funder_award_id":"2015813","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2336941522","display_name":null,"funder_award_id":"1817/17","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G2564752090","display_name":"CCF-BSF: AF: Small: Metric Embeddings and Partitioning for Minor-Closed Graph Families","funder_award_id":"1617790","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3081260677","display_name":null,"funder_award_id":"CCF-1536002","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5049668581","display_name":null,"funder_award_id":"CCF-1617790","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5552157593","display_name":"AitF: FULL: Collaborative Research:  Practical Foundations for Software-Defined Network Optimization","funder_award_id":"1536002","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7334382270","display_name":"BSF: 2014414: New Challenges and Perspectives in Online Algorithms","funder_award_id":"1540541","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/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2963298223.pdf","grobid_xml":"https://content.openalex.org/works/W2963298223.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W48861618","https://openalex.org/W100489996","https://openalex.org/W1595546089","https://openalex.org/W1968429800","https://openalex.org/W2001075173","https://openalex.org/W2004322147","https://openalex.org/W2015577846","https://openalex.org/W2015706743","https://openalex.org/W2017427469","https://openalex.org/W2017713020","https://openalex.org/W2027018686","https://openalex.org/W2032684479","https://openalex.org/W2049413646","https://openalex.org/W2054974227","https://openalex.org/W2063491776","https://openalex.org/W2069121074","https://openalex.org/W2075022748","https://openalex.org/W2096304547","https://openalex.org/W2098322943","https://openalex.org/W2098492709","https://openalex.org/W2109300296","https://openalex.org/W2125082389","https://openalex.org/W2127248062","https://openalex.org/W2150410057","https://openalex.org/W2151592438","https://openalex.org/W2151633447","https://openalex.org/W2154694991","https://openalex.org/W2166133603","https://openalex.org/W2176446742","https://openalex.org/W2259676875","https://openalex.org/W2285192099","https://openalex.org/W2583644876","https://openalex.org/W2595840369","https://openalex.org/W2788840627","https://openalex.org/W2962980142","https://openalex.org/W3098011928","https://openalex.org/W4207074258","https://openalex.org/W4232118852"],"related_works":["https://openalex.org/W2081900870","https://openalex.org/W2183306018","https://openalex.org/W2549990292","https://openalex.org/W2345479200","https://openalex.org/W2951819827","https://openalex.org/W2849310602","https://openalex.org/W2419146053","https://openalex.org/W2088247287","https://openalex.org/W2009836834","https://openalex.org/W2914691919"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,29],"problem":[3],"of":[4,8,33],"embedding":[5],"weighted":[6],"graphs":[7],"pathwidth":[9],"k":[10],"into":[11],"\u2113p":[12],"spaces.":[13],"Our":[14,37],"main":[15],"result":[16],"is":[17,24,40],"an":[18],"O(kmin{1p,12})-distortion":[19],"embedding.":[20],"For":[21],"p=1,":[22],"this":[23],"a":[25],"super-exponential":[26],"improvement":[27],"over":[28],"best":[30],"previous":[31],"bound":[32,39],"Lee":[34],"and":[35],"Sidiropoulos.":[36],"distortion":[38],"asymptotically":[41],"tight":[42],"for":[43],"any":[44],"fixed":[45],"p":[46],">1.":[47]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}