{"id":"https://openalex.org/W2211624051","doi":"https://doi.org/10.1145/2888397","title":"A Linear-Size Logarithmic Stretch Path-Reporting Distance Oracle for General Graphs","display_name":"A Linear-Size Logarithmic Stretch Path-Reporting Distance Oracle for General Graphs","publication_year":2016,"publication_date":"2016-08-03","ids":{"openalex":"https://openalex.org/W2211624051","doi":"https://doi.org/10.1145/2888397","mag":"2211624051"},"language":"en","primary_location":{"id":"doi:10.1145/2888397","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2888397","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","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/A5075683085","display_name":"Michael Elkin","orcid":"https://orcid.org/0000-0003-4257-2122"},"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":"Michael Elkin","raw_affiliation_strings":["Ben-Gurion University of the Negev, Beer-Sheva, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ben-Gurion University of the Negev, Beer-Sheva, Israel","institution_ids":["https://openalex.org/I124227911"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076564426","display_name":"Seth Pettie","orcid":"https://orcid.org/0000-0002-0495-3904"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Seth Pettie","raw_affiliation_strings":["University of Michigan, Ann Arbor, MI, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6301,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.84640814,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"12","issue":"4","first_page":"1","last_page":"31"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998999834060669,"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":0.9998999834060669,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9988999962806702,"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":0.9962000250816345,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/oracle","display_name":"Oracle","score":0.7951774597167969},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7812767028808594},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6753599047660828},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.6563180685043335},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5787397623062134},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.5404381155967712},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.5311794281005859},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.5241382718086243},{"id":"https://openalex.org/keywords/linear-space","display_name":"Linear space","score":0.5110195875167847},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.45087265968322754},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4207669496536255},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.41646426916122437},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.384394109249115},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.332689106464386},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11106786131858826},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1026446521282196}],"concepts":[{"id":"https://openalex.org/C55166926","wikidata":"https://www.wikidata.org/wiki/Q2892946","display_name":"Oracle","level":2,"score":0.7951774597167969},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7812767028808594},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6753599047660828},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.6563180685043335},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5787397623062134},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.5404381155967712},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.5311794281005859},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.5241382718086243},{"id":"https://openalex.org/C176370821","wikidata":"https://www.wikidata.org/wiki/Q1826459","display_name":"Linear space","level":2,"score":0.5110195875167847},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.45087265968322754},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4207669496536255},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.41646426916122437},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.384394109249115},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.332689106464386},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11106786131858826},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1026446521282196},{"id":"https://openalex.org/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/2888397","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2888397","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:publications/6ef493c3-089e-4d05-95d1-f903e12fcda9","is_oa":false,"landing_page_url":"http://delivery.acm.org/10.1145/2730000/2722184/p805-elkin.pdf?ip=130.225.0.251&id=2722184&acc=ACTIVE%20SERVICE&key=36332CD97FA87885%2E318148A04E30A4A4%2E4D4702B0C3E38B35%2E4D4702B0C3E38B35&CFID=586468450&CFTOKEN=27254431&__acm__=1456479085_a338f12e8699c78e50a24855bfe7453f","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Elkin , M & Pettie, S 2015, A linear-size logarithmic stretch path-reporting distance oracle for general graphs. in P Indyk (ed.), SODA '15 Proceedings of the Twenty-Sixth Annual ACM-SIAM Symposium on Discrete Algorithms . Society for Industrial and Applied Mathematics, pp. 805-821 , ACM-SIAM Symposium on Discrete Algorithms, San Diego, United States, 04/01/2015. < http://dl.acm.org/citation.cfm?id=2722129.2722184&coll=DL&dl=ACM&CFID=630471957&CFTOKEN=95259129 >","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.696.5973","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.696.5973","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://web.eecs.umich.edu/%7Epettie/papers/PathReportingDO.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4045262781","display_name":null,"funder_award_id":"DNRF84","funder_id":"https://openalex.org/F4320320943","funder_display_name":"Danmarks Grundforskningsfond"},{"id":"https://openalex.org/G6994317228","display_name":null,"funder_award_id":"CCF-1217338, CNS-1318294 and CCF-1514383","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/F4320320943","display_name":"Danmarks Grundforskningsfond","ror":"https://ror.org/00znyv691"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W55870569","https://openalex.org/W287548514","https://openalex.org/W1489900072","https://openalex.org/W1503190306","https://openalex.org/W1510730180","https://openalex.org/W1564010364","https://openalex.org/W1795575766","https://openalex.org/W1900076025","https://openalex.org/W1978086920","https://openalex.org/W2002296715","https://openalex.org/W2005985615","https://openalex.org/W2012245520","https://openalex.org/W2012280556","https://openalex.org/W2027697499","https://openalex.org/W2033698604","https://openalex.org/W2034680223","https://openalex.org/W2035494495","https://openalex.org/W2042333226","https://openalex.org/W2057994027","https://openalex.org/W2060898859","https://openalex.org/W2061507472","https://openalex.org/W2072142932","https://openalex.org/W2091208704","https://openalex.org/W2091569826","https://openalex.org/W2093455937","https://openalex.org/W2106494441","https://openalex.org/W2108166877","https://openalex.org/W2114493937","https://openalex.org/W2130725973","https://openalex.org/W2147045484","https://openalex.org/W2147391892","https://openalex.org/W2157760787","https://openalex.org/W2169192748","https://openalex.org/W2178691795","https://openalex.org/W2206683514","https://openalex.org/W2508242704","https://openalex.org/W2951161514","https://openalex.org/W2951814478","https://openalex.org/W4235946010","https://openalex.org/W4245082111","https://openalex.org/W4253941431"],"related_works":["https://openalex.org/W4390575969","https://openalex.org/W4377371889","https://openalex.org/W4389362338","https://openalex.org/W2113623403","https://openalex.org/W2055932080","https://openalex.org/W1968512104","https://openalex.org/W3037318061","https://openalex.org/W2565109825","https://openalex.org/W3012121065","https://openalex.org/W4287826554"],"abstract_inverted_index":{"Thorup":[0,105,142],"and":[1,26,46,62,106,123,143,158,174,188,216,263,302,323,342,372,400],"Zwick":[2,107,144],"[2001a]":[3,108,145],"proposed":[4],"a":[5,27,48,57,197,275,290,361,390,432],"landmark":[6],"distance":[7,186,199,276,415],"oracle":[8,35,103,140,163,182,200,241,252,277,440],"with":[9,164,201,278],"the":[10,102,117,120,139,353,414,426],"following":[11],"properties.":[12],"Given":[13],"an":[14,162,225,311],"n":[15,152,155,168,205,221,238,257,259,268,296,307,346,376],"-vertex":[16],"undirected":[17],"graph":[18],"G":[19,74,92],"=":[20,30,236],"(":[21,39,50,75,93,111,167,177,204,213,220,256,295,306,345,375],"V":[22],",":[23,52,68,77,83,95,239],"E":[24],")":[25,54,70,79,85,113,173,371],"parameter":[28],"k":[29,44,88,112,172,178,209,214,235,287,300,339,350,370,380],"1,":[31],"2,":[32],"\u2026,":[33],"their":[34,181],"has":[36,253],"size":[37,202,254,324,343,373],"O":[38,110,129,166,176,203,212,219,255,266,281,285,294,305,344,374],"kn":[40],"1":[41,169,206,297,341,347,377],"+":[42,170,207,298,348,378,394,407],"1/":[43,171,208,299,349,379],"),":[45,179,210,215,223,260,301,309],"upon":[47],"query":[49,99,217,264,303],"u":[51,61,67,76,82,94],"v":[53,63,69,78,84,96],"it":[55,124],"constructs":[56],"path":[58],"\u03a0":[59],"between":[60,320,366],"of":[64,101,119,138,141,250,363,385,392,442],"length":[65,118],"\u03b4(":[66,81],"such":[71],"that":[72,147,422,438],"d":[73,91],"\u2a7d":[80,86],"(2":[87],"\u2212":[89,340],"1)":[90],").":[97,156,269,381],"The":[98,318],"time":[100,218,265,304],"from":[104],"is":[109,146,150,328,336,357,431,441],"(in":[114],"addition":[115],"to":[116,128,398,428],"returned":[121],"path),":[122],"was":[125,387],"subsequently":[126],"improved":[127],"(1)":[130],"[Wulff-Nilsen":[131],"2012;":[132],"Chechik":[133],"2014].":[134],"A":[135,382],"major":[136],"drawback":[137],"its":[148],"space":[149,165,293],"\u03a9(":[151],"\u00b7":[153],"log":[154,237],"Mendel":[157],"Naor":[159],"[2006]":[160],"devised":[161],"stretch":[175,211,244,280,284,322,337,368],"but":[180],"can":[183],"only":[184],"report":[185],"estimates":[187],"not":[189],"actual":[190],"paths.":[191],"In":[192,232],"this":[193,439],"article,":[194],"we":[195,273,423],"devise":[196,274],"path-reporting":[198,434],"\u03f5":[222,229,308,315],"for":[224,234,289,310],"arbitrarily":[226,312],"small":[227,313],"constant":[228,314],"&gt;":[230,316],"0.":[231,317],"particular,":[233],"our":[240,251],"provides":[242],"logarithmic":[243],"using":[245],"linear":[246],"size.":[247],"Another":[248],"variant":[249],"loglog":[258],"polylogarithmic":[261],"stretch,":[262],"(loglog":[267],"For":[270],"unweighted":[271],"graphs,":[272],"multiplicative":[279,321],"(1),":[282],"additive":[283,367],"(\u03b2(":[286],")),":[288],"function":[291],"\u03b2(\u00b7),":[292],"tradeoff":[319,356,362,386],"in":[325,413],"these":[326,429],"oracles":[327],"far":[329,405],"below":[330],"Erd\u0151s\u2019s":[331],"girth":[332,354],"conjecture":[333,355],"threshold":[334],"(which":[335],"2":[338],")).":[351],"Breaking":[352],"achieved":[358],"by":[359,389],"exhibiting":[360],"different":[364],"nature":[365],"\u03b2(":[369],"similar":[383],"type":[384],"exhibited":[388],"construction":[391],"(1":[393,406],"\u03f5,":[395,408],"\u03b2)-spanners":[396,409],"due":[397],"Elkin":[399],"Peleg":[401],"[2001].":[402],"However,":[403],"so":[404],"had":[410],"no":[411],"counterpart":[412],"oracles\u2019":[416],"world.":[417],"An":[418],"important":[419],"novel":[420],"tool":[421],"develop":[424],"on":[425],"way":[427],"results":[430],"distance-preserving":[433],"oracle.":[435],"We":[436],"believe":[437],"independent":[443],"interest.":[444]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":2}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
