{"id":15132,"date":"2022-06-18T19:54:02","date_gmt":"2022-06-18T23:54:02","guid":{"rendered":"https:\/\/carleton.ca\/scs\/?page_id=15132"},"modified":"2026-06-08T14:16:39","modified_gmt":"2026-06-08T18:16:39","slug":"tr-245-optimal-fault-tolerant-leader-election-in-chordal-rings","status":"publish","type":"page","link":"https:\/\/carleton.ca\/scs\/research\/scs-technical-reports\/technical-reports-1994\/tr-245-optimal-fault-tolerant-leader-election-in-chordal-rings\/","title":{"rendered":"TR-245: Optimal Fault-Tolerant Leader Election in Chordal Rings"},"content":{"rendered":"\n<section class=\"w-screen px-6 cu-section cu-section--white ml-offset-center md:px-8 lg:px-14\">\n    <div class=\"space-y-6 cu-max-w-child-5xl  md:space-y-10 cu-prose-first-last\">\n\n            <div class=\"cu-textmedia flex flex-col lg:flex-row mx-auto gap-6 md:gap-10 my-6 md:my-12 first:mt-0 max-w-5xl\">\n        <div class=\"justify-start cu-textmedia-content cu-prose-first-last\" style=\"flex: 0 0 100%;\">\n            <header class=\"font-light prose-xl cu-pageheader md:prose-2xl cu-component-updated cu-prose-first-last\">\n                                    <h1 class=\"cu-prose-first-last font-semibold !mt-2 mb-4 md:mb-6 relative after:absolute after:h-px after:bottom-0 after:bg-cu-red after:left-px text-3xl md:text-4xl lg:text-5xl lg:leading-[3.5rem] pb-5 after:w-10 text-cu-black-700 not-prose\">\n                        TR-245: Optimal Fault-Tolerant Leader Election in Chordal Rings\n                    <\/h1>\n                \n                                \n                            <\/header>\n\n                    <\/div>\n\n            <\/div>\n\n    <\/div>\n<\/section>\n\n\n\n<p>Carleton University<br><a href=\"https:\/\/carleton.ca\/scs\/research\/scs-technical-reports\/technical-reports-1994\/\">Technical Report<\/a>&nbsp;<strong>TR-245<\/strong><br>May 1994<\/p>\n\n\n\n<h2 id=\"optimal-fault-tolerant-leader-election-in-chordal-rings\" class=\"wp-block-heading\">Optimal Fault-Tolerant Leader Election in Chordal Rings<\/h2>\n\n\n\n<p>Bernard Mans &amp; Nicola Santoro<\/p>\n\n\n\n<h3 id=\"abstract\" class=\"wp-block-heading\">Abstract<\/h3>\n\n\n\n<p>Chordal rings ( or circulant graphs) are a popular class of fault-tolerant network topologies which include rings and complete graphs. For this class, the fundamental problem of Leader Election has been extensively studied assuming either a fault-free system or an upper-bound on the number of link failures.<br>We consider chordal rings where an arbitrary number of links has failed and a processor can only detect the status of its incident links.<\/p>\n\n\n\n<p>We show that a Leader Election protocol in a faulty chordal ring requires only 0( n log n) messages in the worst-case, where n is the number of processors. More\u00adover, we show that this is optimal. If the network is not partitioned, the algorithm will detect it and will elect a leader. In case the failures have partitioned the net\u00adwork, a distinctive element will be determined in each active component and will detect that a partition has occured; depending on the application, these distintives elements can thus take the appropriate actions.<\/p>\n\n\n\n<p><a href=\"https:\/\/carleton.ca\/scs\/wp-content\/uploads\/sites\/260\/TR-245.pdf\">TR-245.pdf<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Carleton UniversityTechnical Report&nbsp;TR-245May 1994 Optimal Fault-Tolerant Leader Election in Chordal Rings Bernard Mans &amp; Nicola Santoro Abstract Chordal rings ( or circulant graphs) are a popular class of fault-tolerant network topologies which include rings and complete graphs. For this class, the fundamental problem of Leader Election has been extensively studied assuming either a fault-free system [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":11914,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"_cu_dining_location_slug":"","footnotes":"","_links_to":"","_links_to_target":""},"cu_page_type":[],"class_list":["post-15132","page","type-page","status-publish","hentry"],"acf":{"cu_post_thumbnail":""},"_links":{"self":[{"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/pages\/15132","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/comments?post=15132"}],"version-history":[{"count":2,"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/pages\/15132\/revisions"}],"predecessor-version":[{"id":24427,"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/pages\/15132\/revisions\/24427"}],"up":[{"embeddable":true,"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/pages\/11914"}],"wp:attachment":[{"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/media?parent=15132"}],"wp:term":[{"taxonomy":"cu_page_type","embeddable":true,"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/cu_page_type?post=15132"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}