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In order to better measure the reliability of the system, Yuan et\u00a0al. introduced the non-inclusive [Formula: see text]-good-neighbor diagnosability, denoted as [Formula: see text], which requires every pair of [Formula: see text]-good-neighbor faulty sets is non-inclusive and every fault-free vertex has at least [Formula: see text] fault-free neighbors. In the paper, we obtain the upper bound of the non-inclusive [Formula: see text]-good-neighbor diagnosability of star graphs, [Formula: see text] for [Formula: see text] under the [Formula: see text] model and the [Formula: see text] model, and determine the non-inclusive 1-good-neighbor diagnosability of star graphs, [Formula: see text] for [Formula: see text] under the [Formula: see text] model, [Formula: see text] for [Formula: see text] under the [Formula: see text] model. <\/jats:p>","DOI":"10.1142\/s0129626425500033","type":"journal-article","created":{"date-parts":[[2025,4,9]],"date-time":"2025-04-09T14:22:51Z","timestamp":1744208571000},"source":"Crossref","is-referenced-by-count":0,"title":["The Non-inclusive <i>g<\/i>-Good-Neighbor Diagnosability of Star Graphs"],"prefix":"10.1142","volume":"35","author":[{"ORCID":"https:\/\/orcid.org\/0009-0003-3393-6016","authenticated-orcid":false,"given":"Ting","family":"Tian","sequence":"first","affiliation":[{"name":"School of 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