{"id":"https://openalex.org/W2052560303","doi":"https://doi.org/10.1109/tac.2011.2159652","title":"A Lower Bound for Distributed Averaging Algorithms on the Line Graph","display_name":"A Lower Bound for Distributed Averaging Algorithms on the Line Graph","publication_year":2011,"publication_date":"2011-06-21","ids":{"openalex":"https://openalex.org/W2052560303","doi":"https://doi.org/10.1109/tac.2011.2159652","mag":"2052560303"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2011.2159652","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2011.2159652","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","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/A5005863931","display_name":"Alex Olshevsky","orcid":"https://orcid.org/0000-0002-5852-9789"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alex Olshevsky","raw_affiliation_strings":["Department of Mechanical and AeroSpace Engineering, Princeton University, Princeton, NJ, USA","Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, US"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and AeroSpace Engineering, Princeton University, Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, US","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109219783","display_name":"John N. Tsitsiklis","orcid":null},"institutions":[{"id":"https://openalex.org/I4210143601","display_name":"Decision Systems (United States)","ror":"https://ror.org/0434dpa13","country_code":"US","type":"company","lineage":["https://openalex.org/I4210143601"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John N. Tsitsiklis","raw_affiliation_strings":["Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, MA, USA","Labs. for Inf. & Decision Syst., Massachusetts Inst. of Technol., Cambridge, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4210143601","https://openalex.org/I63966007"]},{"raw_affiliation_string":"Labs. for Inf. & Decision Syst., Massachusetts Inst. of Technol., Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8285,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.85943674,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"56","issue":"11","first_page":"2694","last_page":"2698"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998000264167786,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998000264167786,"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/T10080","display_name":"Energy Efficient Wireless Sensor Networks","score":0.9872000217437744,"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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.982699990272522,"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/algorithm","display_name":"Algorithm","score":0.6317387223243713},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.61724454164505},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49307963252067566},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.461315393447876},{"id":"https://openalex.org/keywords/distributed-algorithm","display_name":"Distributed algorithm","score":0.42807790637016296},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3726126551628113},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33074450492858887},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3301883041858673},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2540605068206787},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.06760060787200928}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6317387223243713},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.61724454164505},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49307963252067566},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.461315393447876},{"id":"https://openalex.org/C130120984","wikidata":"https://www.wikidata.org/wiki/Q2835898","display_name":"Distributed algorithm","level":2,"score":0.42807790637016296},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3726126551628113},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33074450492858887},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3301883041858673},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2540605068206787},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.06760060787200928},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2011.2159652","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2011.2159652","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.294.9193","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.294.9193","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://web.mit.edu/jnt/www/Papers/J136-11-averaging-lower-bound.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1614210333","https://openalex.org/W1967670666","https://openalex.org/W1997637758","https://openalex.org/W2074796812","https://openalex.org/W2075083401","https://openalex.org/W2079277501","https://openalex.org/W2092209900","https://openalex.org/W2098863504","https://openalex.org/W2098865243","https://openalex.org/W2099065538","https://openalex.org/W2106221286","https://openalex.org/W2107396783","https://openalex.org/W2110725296","https://openalex.org/W2114128170","https://openalex.org/W2123698134","https://openalex.org/W2125668987","https://openalex.org/W2138095955","https://openalex.org/W2140655807","https://openalex.org/W2142544818","https://openalex.org/W2145574455","https://openalex.org/W2150188733","https://openalex.org/W2153617912","https://openalex.org/W2154645018","https://openalex.org/W2154834860","https://openalex.org/W2159499856","https://openalex.org/W2162218601","https://openalex.org/W2165744313","https://openalex.org/W2171533384","https://openalex.org/W2172813797","https://openalex.org/W2295244470","https://openalex.org/W2912291331","https://openalex.org/W4236352634","https://openalex.org/W4244375620","https://openalex.org/W6682646277","https://openalex.org/W6684049374"],"related_works":["https://openalex.org/W1978042415","https://openalex.org/W2386767533","https://openalex.org/W2376447813","https://openalex.org/W2582950667","https://openalex.org/W4214740985","https://openalex.org/W1527576459","https://openalex.org/W2622512907","https://openalex.org/W1596060973","https://openalex.org/W3003396734","https://openalex.org/W2790547488"],"abstract_inverted_index":{"We":[0],"derive":[1],"lower":[2],"bounds":[3],"on":[4,54,64],"the":[5,55,82,89],"convergence":[6],"speed":[7],"of":[8,13,29,51,57,68,81,92],"a":[9,30,41,46,65],"widely":[10],"used":[11],"class":[12],"distributed":[14,23,93],"averaging":[15,24,94],"algorithms.":[16,95],"In":[17],"particular,":[18],"we":[19],"prove":[20],"that":[21,76],"any":[22],"algorithm":[25],"whose":[26,35],"state":[27,83],"consists":[28],"single":[31],"real":[32],"number":[33],"and":[34],"(possibly":[36],"nonlinear)":[37],"update":[38],"function":[39],"satisfies":[40],"natural":[42],"smoothness":[43],"condition":[44],"has":[45],"worst":[47],"case":[48],"running":[49,90],"time":[50],"at":[52],"least":[53],"order":[56],"<i":[58,69],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[59,62,70],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</i>":[60,71],"<sup":[61],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sup>":[63],"line":[66],"network":[67],"nodes.":[72],"Our":[73],"results":[74],"suggest":[75],"increased":[77],"memory":[78],"or":[79],"expansion":[80],"space":[84],"is":[85],"crucial":[86],"for":[87],"improving":[88],"times":[91]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}