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This paper mainly establishes the [Formula: see text]-extra connectivity and [Formula: see text]-extra diagnosability of augmented [Formula: see text]-ary [Formula: see text]-cubes [Formula: see text], which is a generalization of [Formula: see text]-ary [Formula: see text]-cubes and augmented cubes. In addition, we explore the [Formula: see text]-extra diagnosis algorithm of [Formula: see text] under the MM* model. <\/jats:p>","DOI":"10.1142\/s0219265921500407","type":"journal-article","created":{"date-parts":[[2022,9,30]],"date-time":"2022-09-30T03:05:50Z","timestamp":1664507150000},"source":"Crossref","is-referenced-by-count":2,"title":["Reliability of Augmented 3-Ary n-Cubes with Extra Faults"],"prefix":"10.1142","volume":"23","author":[{"given":"Xueli","family":"Sun","sequence":"first","affiliation":[{"name":"School of Computer Science and Technology, Soochow University, Suzhou 215006, P. R. 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