{"id":"https://openalex.org/W2096881311","doi":"https://doi.org/10.1145/1236457.1236458","title":"Approximation via cost sharing","display_name":"Approximation via cost sharing","publication_year":2007,"publication_date":"2007-06-01","ids":{"openalex":"https://openalex.org/W2096881311","doi":"https://doi.org/10.1145/1236457.1236458","mag":"2096881311"},"language":"en","primary_location":{"id":"doi:10.1145/1236457.1236458","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1236457.1236458","pdf_url":null,"source":{"id":"https://openalex.org/S118992489","display_name":"Journal of the ACM","issn_l":"0004-5411","issn":["0004-5411","1557-735X"],"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":"Journal of the ACM","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/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, Pittsburgh, Pennsylvania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University, Pittsburgh, Pennsylvania","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029407896","display_name":"Amit Kumar","orcid":"https://orcid.org/0000-0002-3965-6627"},"institutions":[{"id":"https://openalex.org/I64295750","display_name":"Indian Institute of Technology Indore","ror":"https://ror.org/01hhf7w52","country_code":"IN","type":"education","lineage":["https://openalex.org/I64295750"]},{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Amit Kumar","raw_affiliation_strings":["Indian Institute of Technology, New Delhi, India","Indian Institute of Technology, New Delhi,India#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indian Institute of Technology, New Delhi, India","institution_ids":["https://openalex.org/I68891433"]},{"raw_affiliation_string":"Indian Institute of Technology, New Delhi,India#TAB#","institution_ids":["https://openalex.org/I64295750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009900806","display_name":"Martin P \u0301al","orcid":null},"institutions":[{"id":"https://openalex.org/I1291425158","display_name":"Google (United States)","ror":"https://ror.org/00njsd438","country_code":"US","type":"company","lineage":["https://openalex.org/I1291425158","https://openalex.org/I4210128969"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Martin P\u00b4al","raw_affiliation_strings":["Google, Inc., New York, New York"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Google, Inc., New York, New York","institution_ids":["https://openalex.org/I1291425158"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022886322","display_name":"Tim Roughgarden","orcid":"https://orcid.org/0000-0002-7163-8306"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tim Roughgarden","raw_affiliation_strings":["Stanford University, Stanford, California"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stanford University, Stanford, California","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":12.151,"has_fulltext":false,"cited_by_count":85,"citation_normalized_percentile":{"value":0.99058958,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"54","issue":"3","first_page":"11","last_page":"11"},"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/T12288","display_name":"Optimization and Search Problems","score":0.9995999932289124,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/approximation-algorithm","display_name":"Approximation algorithm","score":0.7774465680122375},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6686522960662842},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5665696859359741},{"id":"https://openalex.org/keywords/network-planning-and-design","display_name":"Network planning and design","score":0.5625588297843933},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.530935525894165},{"id":"https://openalex.org/keywords/hardness-of-approximation","display_name":"Hardness of approximation","score":0.493118017911911},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.48002830147743225},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4562133848667145},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.4110141396522522},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31406986713409424},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24614983797073364},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.09577617049217224}],"concepts":[{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.7774465680122375},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6686522960662842},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5665696859359741},{"id":"https://openalex.org/C114563136","wikidata":"https://www.wikidata.org/wiki/Q19725982","display_name":"Network planning and design","level":2,"score":0.5625588297843933},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.530935525894165},{"id":"https://openalex.org/C112955886","wikidata":"https://www.wikidata.org/wiki/Q5656275","display_name":"Hardness of approximation","level":3,"score":0.493118017911911},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.48002830147743225},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4562133848667145},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.4110141396522522},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31406986713409424},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24614983797073364},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.09577617049217224},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1236457.1236458","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1236457.1236458","pdf_url":null,"source":{"id":"https://openalex.org/S118992489","display_name":"Journal of the ACM","issn_l":"0004-5411","issn":["0004-5411","1557-735X"],"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":"Journal of the ACM","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4300000071525574,"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":68,"referenced_works":["https://openalex.org/W1523452202","https://openalex.org/W1528210381","https://openalex.org/W1531667076","https://openalex.org/W1544515183","https://openalex.org/W1604234417","https://openalex.org/W1614236348","https://openalex.org/W1755312702","https://openalex.org/W1759768216","https://openalex.org/W1972442117","https://openalex.org/W1981114903","https://openalex.org/W1981673685","https://openalex.org/W1990199392","https://openalex.org/W1998608896","https://openalex.org/W2001139415","https://openalex.org/W2001681959","https://openalex.org/W2002285507","https://openalex.org/W2011232221","https://openalex.org/W2011823863","https://openalex.org/W2019819077","https://openalex.org/W2030458698","https://openalex.org/W2034457158","https://openalex.org/W2039298646","https://openalex.org/W2041571997","https://openalex.org/W2045906087","https://openalex.org/W2054655788","https://openalex.org/W2059149798","https://openalex.org/W2059707428","https://openalex.org/W2068799282","https://openalex.org/W2068811470","https://openalex.org/W2070664846","https://openalex.org/W2075163336","https://openalex.org/W2078850190","https://openalex.org/W2079936083","https://openalex.org/W2089897116","https://openalex.org/W2092340542","https://openalex.org/W2094410510","https://openalex.org/W2095969632","https://openalex.org/W2097181193","https://openalex.org/W2102563009","https://openalex.org/W2104701012","https://openalex.org/W2106676868","https://openalex.org/W2107390991","https://openalex.org/W2112058494","https://openalex.org/W2114493937","https://openalex.org/W2117754372","https://openalex.org/W2120679858","https://openalex.org/W2123138012","https://openalex.org/W2124295613","https://openalex.org/W2133156969","https://openalex.org/W2135071170","https://openalex.org/W2142758253","https://openalex.org/W2142779979","https://openalex.org/W2143061299","https://openalex.org/W2146763892","https://openalex.org/W2147879413","https://openalex.org/W2148352980","https://openalex.org/W2149929647","https://openalex.org/W2155019050","https://openalex.org/W2160641050","https://openalex.org/W2163150343","https://openalex.org/W2169143327","https://openalex.org/W2178864388","https://openalex.org/W2561675875","https://openalex.org/W2611804663","https://openalex.org/W2623734410","https://openalex.org/W2914209516","https://openalex.org/W3030774092","https://openalex.org/W3137469667"],"related_works":["https://openalex.org/W4238075012","https://openalex.org/W2899573179","https://openalex.org/W2083193279","https://openalex.org/W2365154038","https://openalex.org/W2386767533","https://openalex.org/W2038745738","https://openalex.org/W2019123979","https://openalex.org/W2096881311","https://openalex.org/W2153264420","https://openalex.org/W1538231526"],"abstract_inverted_index":{"We":[0,46],"present":[1],"constant-factor":[2],"approximation":[3,32,55],"algorithms":[4,27],"for":[5],"several":[6],"widely-studied":[7],"NP-hard":[8],"optimization":[9],"problems":[10],"in":[11,39],"network":[12,20],"design,":[13,21],"including":[14],"the":[15,54],"multicommodity":[16],"rent-or-buy,":[17],"virtual":[18],"private":[19],"and":[22,30,71],"single-sink":[23],"buy-at-bulk":[24],"problems.":[25],"Our":[26],"are":[28],"simple":[29],"their":[31],"ratios":[33,56],"improve":[34],"over":[35],"those":[36],"previously":[37],"known,":[38],"some":[40],"cases":[41],"by":[42],"orders":[43],"of":[44,57],"magnitude.":[45],"develop":[47],"a":[48,65],"general":[49],"analysis":[50],"framework":[51,61],"to":[52],"bound":[53],"our":[58],"algorithms.":[59],"This":[60],"is":[62],"based":[63],"on":[64],"novel":[66],"connection":[67],"between":[68],"random":[69],"sampling":[70],"game-theoretic":[72],"cost":[73],"sharing.":[74]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":5}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
