{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,22]],"date-time":"2026-02-22T17:00:25Z","timestamp":1771779625688,"version":"3.50.1"},"reference-count":27,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Inter. Net."],"published-print":{"date-parts":[[2020,3]]},"abstract":"<jats:p> The g-extra connectivity of a multiprocessor system modeled by a graph G, denoted by [Formula: see text] (G), is the minimum number of removed vertices such that the network is disconnected and each residual component has no less than g + 1 vertices. The t\/k-diagnosis strategy can detect up to t faulty processors which might include at most k misdiagnosed processors. These two parameters are important to measure the fault tolerant ability of a multiprocessor system. The extra connectivity and t\/k-diagnosability of many well-known networks have been investigated extensively and independently. However, the general relationship between the extra connectivity and the t\/k-diagnosability of general regular networks has not been established. In this paper, we explore the relationship between the k-extra connectivity and t\/k-diagnosability for regular networks under the classic PMC diagnostic model. More specifically, we derive the relationship between 1-extra connectivity and pessimistic diagnosability for regular networks. Furthermore, the t\/k-diagnosability and pessimistic diagnosability of some networks, including star network, BC networks, Cayley graphs generated by transposition trees etc., are determined. <\/jats:p>","DOI":"10.1142\/s0219265920500036","type":"journal-article","created":{"date-parts":[[2020,5,14]],"date-time":"2020-05-14T13:18:05Z","timestamp":1589462285000},"page":"2050003","source":"Crossref","is-referenced-by-count":5,"title":["The Relationship Between Extra Connectivity and <i>t<\/i>\/<i>k<\/i>-Diagnosability of Regular Networks"],"prefix":"10.1142","volume":"20","author":[{"given":"WENJUN","family":"LIU","sequence":"first","affiliation":[{"name":"Suzhou Vocational Institute of Industrial Technology, Suzhou 215104, China"}]}],"member":"219","published-online":{"date-parts":[[2020,5,13]]},"reference":[{"key":"p_1","doi-asserted-by":"publisher","DOI":"10.1109\/12.21148"},{"key":"p_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcss.2013.01.013"},{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.1016\/j.ipl.2018.03.008"},{"key":"p_4","first-page":"81","volume":"180","author":"Cheng E.","year":"2006","journal-title":"Congressus Numerantium"},{"key":"p_5","first-page":"107","volume":"59","author":"Cheng E.","year":"2001","journal-title":"Ars Combinatoria"},{"key":"p_7","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(94)00369-T"},{"issue":"1","key":"p_8","first-page":"84","volume":"26","author":"Fan J.","year":"2003","journal-title":"Chinese Journal of Computers"},{"key":"p_9","doi-asserted-by":"publisher","DOI":"10.1109\/TC.2005.33"},{"key":"p_10","doi-asserted-by":"publisher","DOI":"10.1016\/j.ipl.2018.02.009"},{"key":"p_11","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2017.05.036"},{"key":"p_12","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2016.06.043"},{"key":"p_13","doi-asserted-by":"publisher","DOI":"10.1142\/S0219265916710018"},{"key":"p_14","doi-asserted-by":"publisher","DOI":"10.1002\/net.3230230414"},{"key":"p_15","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2018.09.014"},{"key":"p_16","doi-asserted-by":"publisher","DOI":"10.1109\/TPDS.2014.2347961"},{"key":"p_17","doi-asserted-by":"publisher","DOI":"10.1142\/S021926591550005X"},{"key":"p_18","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2018.07.017"},{"key":"p_19","doi-asserted-by":"publisher","DOI":"10.1109\/PGEC.1967.264748"},{"key":"p_20","doi-asserted-by":"publisher","DOI":"10.1109\/12.536232"},{"key":"p_21","doi-asserted-by":"publisher","DOI":"10.1016\/j.ipl.2014.09.003"},{"key":"p_22","doi-asserted-by":"publisher","DOI":"10.1093\/comjnl\/bxw037"},{"key":"p_23","doi-asserted-by":"publisher","DOI":"10.1109\/TR.2016.2570559"},{"key":"p_24","doi-asserted-by":"publisher","DOI":"10.1016\/j.ipl.2010.09.001"},{"key":"p_25","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2006.10.002"},{"key":"p_26","doi-asserted-by":"publisher","DOI":"10.1080\/00207160.2015.1020796"},{"key":"p_27","doi-asserted-by":"publisher","DOI":"10.1109\/TC.2013.228"},{"key":"p_29","doi-asserted-by":"publisher","DOI":"10.1109\/TC.2012.106"}],"container-title":["Journal of Interconnection Networks"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219265920500036","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,14]],"date-time":"2020-05-14T13:18:18Z","timestamp":1589462298000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219265920500036"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,3]]},"references-count":27,"journal-issue":{"issue":"01","published-print":{"date-parts":[[2020,3]]}},"alternative-id":["10.1142\/S0219265920500036"],"URL":"https:\/\/doi.org\/10.1142\/s0219265920500036","relation":{},"ISSN":["0219-2659","1793-6713"],"issn-type":[{"value":"0219-2659","type":"print"},{"value":"1793-6713","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,3]]}}}