{"id":"https://openalex.org/W3144782334","doi":"https://doi.org/10.1109/cdc.2010.5716968","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":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W3144782334","doi":"https://doi.org/10.1109/cdc.2010.5716968","mag":"3144782334"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2010.5716968","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5716968","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://dspace.mit.edu/bitstream/1721.1/73151/1/Tsitsiklis_A%20lower%20bound.pdf","any_repository_has_fulltext":true},"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/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":["Laboratory of Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108523422","display_name":"John N. Tsitsiklis","orcid":null},"institutions":[{"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 of Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Information and Decision Systems, Massachusetts Institute of Technology, 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":0.7457,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.7737693,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"4523","last_page":"4528"},"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":0.9962000250816345,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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":0.6845307350158691},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.5937454700469971},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5790924429893494},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5643917918205261},{"id":"https://openalex.org/keywords/distributed-algorithm","display_name":"Distributed algorithm","score":0.5540119409561157},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5092366933822632},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.44950756430625916},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.42950788140296936},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4107057452201843},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35378962755203247},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.29721730947494507},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.22714757919311523},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.07392728328704834}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6845307350158691},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.5937454700469971},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5790924429893494},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5643917918205261},{"id":"https://openalex.org/C130120984","wikidata":"https://www.wikidata.org/wiki/Q2835898","display_name":"Distributed algorithm","level":2,"score":0.5540119409561157},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5092366933822632},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.44950756430625916},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.42950788140296936},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4107057452201843},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35378962755203247},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.29721730947494507},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.22714757919311523},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.07392728328704834},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2010.5716968","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5716968","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:dspace.mit.edu:1721.1/73151","is_oa":true,"landing_page_url":"http://hdl.handle.net/1721.1/73151","pdf_url":"https://dspace.mit.edu/bitstream/1721.1/73151/1/Tsitsiklis_A%20lower%20bound.pdf","source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE","raw_type":"http://purl.org/eprint/type/ConferencePaper"}],"best_oa_location":{"id":"pmh:oai:dspace.mit.edu:1721.1/73151","is_oa":true,"landing_page_url":"http://hdl.handle.net/1721.1/73151","pdf_url":"https://dspace.mit.edu/bitstream/1721.1/73151/1/Tsitsiklis_A%20lower%20bound.pdf","source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE","raw_type":"http://purl.org/eprint/type/ConferencePaper"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3144782334.pdf"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1614210333","https://openalex.org/W1967670666","https://openalex.org/W1997637758","https://openalex.org/W2074796812","https://openalex.org/W2092209900","https://openalex.org/W2098865243","https://openalex.org/W2099065538","https://openalex.org/W2107396783","https://openalex.org/W2125668987","https://openalex.org/W2138095955","https://openalex.org/W2140655807","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/W2952660030","https://openalex.org/W4236352634","https://openalex.org/W4244375620","https://openalex.org/W6636489825","https://openalex.org/W6674727558","https://openalex.org/W6678614517","https://openalex.org/W6682646277","https://openalex.org/W6684049374","https://openalex.org/W6685122779"],"related_works":["https://openalex.org/W2393022482","https://openalex.org/W2377346130","https://openalex.org/W2361092061","https://openalex.org/W2319775965","https://openalex.org/W2357314690","https://openalex.org/W1983915440","https://openalex.org/W3095925971","https://openalex.org/W2137594557","https://openalex.org/W2899261484","https://openalex.org/W2902010279"],"abstract_inverted_index":{"We":[0],"derive":[1],"lower":[2],"bounds":[3],"on":[4,54,62],"the":[5,55,78,85],"convergence":[6],"speed":[7],"of":[8,13,29,51,57,66,77,88],"a":[9,30,41,46,63],"widely":[10],"used":[11],"class":[12],"distributed":[14,23,89],"averaging":[15,24,90],"algorithms.":[16,91],"In":[17],"particular,":[18],"we":[19],"prove":[20],"that":[21,72],"any":[22],"algorithm":[25],"whose":[26,35],"state":[27,79],"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":[49,86],"time":[50],"at":[52],"least":[53],"order":[56],"n":[58,67],"<sup":[59],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[60],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sup>":[61],"line":[64],"network":[65],"nodes.":[68],"Our":[69],"results":[70],"suggest":[71],"increased":[73],"memory":[74],"or":[75],"expansion":[76],"space":[80],"is":[81],"crucial":[82],"for":[83],"improving":[84],"times":[87]},"counts_by_year":[{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
