<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-09-18T19:12:37Z</responseDate><request verb="GetRecord" identifier="oai:dspace.mit.edu:1721.1/89859" metadataPrefix="dim">https://dspace.mit.edu/server/oai/request</request><GetRecord><record><header><identifier>oai:dspace.mit.edu:1721.1/89859</identifier><datestamp>2022-01-13T07:54:01Z</datestamp><setSpec>com_1721.1_7582</setSpec><setSpec>com_1721.1_7581</setSpec><setSpec>col_1721.1_131023</setSpec></header><metadata><dim:dim xmlns:dim="http://www.dspace.org/xmlns/dspace/dim" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://www.dspace.org/xmlns/dspace/dim http://www.dspace.org/schema/dim.xsd">
   <dim:field mdschema="dc" element="contributor" qualifier="advisor" lang="en_US">Nir Shavit.</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="author" lang="en_US">Gelashvili, Rati</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="other" lang="en_US">Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science.</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="department">Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="accessioned">2014-09-19T19:37:56Z</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="available">2014-09-19T19:37:56Z</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="copyright" lang="en_US">2014</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="issued" lang="en_US">2014</dim:field>
   <dim:field mdschema="dc" element="identifier" qualifier="uri">http://hdl.handle.net/1721.1/89859</dim:field>
   <dim:field mdschema="dc" element="identifier" qualifier="oclc" lang="en_US">890151019</dim:field>
   <dim:field mdschema="dc" element="description" lang="en_US">Thesis: S.M., Massachusetts Institute of Technology, Department of Electrical Engineering and Computer Science, 2014.</dim:field>
   <dim:field mdschema="dc" element="description" lang="en_US">This electronic version was submitted by the student author.  The certified thesis is available in the Institute Archives and Special Collections.</dim:field>
   <dim:field mdschema="dc" element="description" lang="en_US">Cataloged from student-submitted PDF version of thesis.</dim:field>
   <dim:field mdschema="dc" element="description" lang="en_US">Includes bibliographical references (pages 65-68).</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="abstract" lang="en_US">Asynchronous message-passing system is a standard distributed model, where n processors communicate over unreliable channels, controlled by a strong adaptive adversary. The asynchronous nature of the system and the fact that t&lt;n2 processors may fail by crashing are the great obstacles for designing efficient algorithms. Leader election (test-and-set) and renaming are two fundamental distributed tasks. We prove that both tasks can be solved using expected O(n²) messages -- the same asymptotic complexity as a single all-to-all broadcast -- and that this message complexity is in fact optimal.</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="statementofresponsibility" lang="en_US">by Rati Gelashvili.</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="degree" lang="en_US">S.M.</dim:field>
   <dim:field mdschema="dc" element="format" qualifier="extent" lang="en_US">68 pages</dim:field>
   <dim:field mdschema="dc" element="language" qualifier="iso" lang="en_US">eng</dim:field>
   <dim:field mdschema="dc" element="publisher" lang="en_US">Massachusetts Institute of Technology</dim:field>
   <dim:field mdschema="dc" element="rights" lang="en_US">M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.</dim:field>
   <dim:field mdschema="dc" element="rights" qualifier="uri" lang="en_US">http://dspace.mit.edu/handle/1721.1/7582</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">Electrical Engineering and Computer Science.</dim:field>
   <dim:field mdschema="dc" element="title" lang="en_US">Leader election and renaming with optimal message complexity</dim:field>
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   	&lt;Title>Leader election and renaming with optimal message complexity&lt;/Title>
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   	&lt;PublicationDate>2014&lt;/PublicationDate>
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        	&lt;DisplayName>Gelashvili, Rati&lt;/DisplayName>
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    &lt;Keyword>Electrical Engineering and Computer Science.&lt;/Keyword>
   	&lt;Abstract>Asynchronous message-passing system is a standard distributed model, where n processors communicate over unreliable channels, controlled by a strong adaptive adversary. The asynchronous nature of the system and the fact that t&amp;lt;n2 processors may fail by crashing are the great obstacles for designing efficient algorithms. Leader election (test-and-set) and renaming are two fundamental distributed tasks. We prove that both tasks can be solved using expected O(n²) messages -- the same asymptotic complexity as a single all-to-all broadcast -- and that this message complexity is in fact optimal.&lt;/Abstract>
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