{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,14]],"date-time":"2026-05-14T04:27:56Z","timestamp":1778732876261,"version":"3.51.4"},"reference-count":0,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Inter. Net."],"published-print":{"date-parts":[[2020,9]]},"abstract":"<jats:p> The connectivity and diagnosability of a multiprocessor system or an interconnection network is an important research topic. The system and interconnection network has a underlying topology, which usually presented by a graph. As a famous topology structure of interconnection networks, the n-dimensional leaf-sort graph CF<jats:sub>n<\/jats:sub> has many good properties. In this paper, we prove that (a) the restricted edge connectivity of CF<jats:sub>n<\/jats:sub> (n \u2265 3) is 3n \u2212 5 for odd n and 3n \u2212 6 for even n; (b) CF<jats:sub>n<\/jats:sub> (n \u2265 5) is super restricted edge-connected; (c) the nature diagnosability of CF<jats:sub>n<\/jats:sub> (n \u2265 4) under the PMC model is 3n \u2212 4 for odd n and 3n \u2212 5 for even n; (d) the nature diagnosability of CF<jats:sub>n<\/jats:sub> (n \u2265 5) under the MM<jats:sup>*<\/jats:sup> model is 3n \u2212 4 for odd n and 3n \u2212 5 for even n. <\/jats:p>","DOI":"10.1142\/s0219265920500115","type":"journal-article","created":{"date-parts":[[2020,11,25]],"date-time":"2020-11-25T09:48:07Z","timestamp":1606297687000},"page":"2050011","source":"Crossref","is-referenced-by-count":4,"title":["Connectivity and Nature Diagnosability of Leaf-Sort Graphs"],"prefix":"10.1142","volume":"20","author":[{"given":"JUTAO","family":"ZHAO","sequence":"first","affiliation":[{"name":"Department of Mathematics, Changzhi University, Changzhi, Shanxi 046011, PR China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"SHIYING","family":"WANG","sequence":"additional","affiliation":[{"name":"School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, PR China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2020,11,24]]},"container-title":["Journal of Interconnection Networks"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219265920500115","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,25]],"date-time":"2020-11-25T09:48:09Z","timestamp":1606297689000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219265920500115"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,9]]},"references-count":0,"journal-issue":{"issue":"03","published-print":{"date-parts":[[2020,9]]}},"alternative-id":["10.1142\/S0219265920500115"],"URL":"https:\/\/doi.org\/10.1142\/s0219265920500115","relation":{},"ISSN":["0219-2659","1793-6713"],"issn-type":[{"value":"0219-2659","type":"print"},{"value":"1793-6713","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,9]]}}}