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It provides a new way to measure the fault tolerance of interconnection networks. For a network G and a vertex subset [Formula: see text], [Formula: see text] denotes the maximum integer l of edge-disjoint trees [Formula: see text] in G such that [Formula: see text] for [Formula: see text] and [Formula: see text]. For an integer k where [Formula: see text], the generalized k-connectivity of G, denoted by [Formula: see text], is defined as [Formula: see text]. Locally exchanged twisted cube [Formula: see text] is an enhanced variant of the locally twisted cube. In this work, we obtain that [Formula: see text] for [Formula: see text].<\/jats:p>","DOI":"10.1142\/s0129054125500170","type":"journal-article","created":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T08:13:28Z","timestamp":1747210408000},"page":"449-465","source":"Crossref","is-referenced-by-count":0,"title":["The Generalized 4-Connectivity of Locally Exchanged Twisted Cubes"],"prefix":"10.1142","volume":"37","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0995-1246","authenticated-orcid":false,"given":"Wantao","family":"Ning","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Xidian University, Xi\u2019an, Shaanxi 710071, P. R. China"}]},{"ORCID":"https:\/\/orcid.org\/0009-0000-1789-6526","authenticated-orcid":false,"given":"Rongshuan","family":"Geng","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Xidian University, Xi\u2019an, Shaanxi 710071, P. R. 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