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Therefore, ensuring the reliability of information and the stable operation of the system are the core problems in the research fields such as the Internet Plus and the Internet of Things. The connectivity and diagnosability are two important measures for the fault tolerance of multiprocessor systems. The<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><mml:mi>g<\/mml:mi><\/mml:math>-good-neighbor conditional connectivity (<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M4\"><mml:msup><mml:mrow><mml:mi>R<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>g<\/mml:mi><\/mml:mrow><\/mml:msup><\/mml:math>-connectivity) is the minimum number of nodes that make the graph disconnected, and each node has at least<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M5\"><mml:mi>g<\/mml:mi><\/mml:math>neighbors in every remaining component. The<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M6\"><mml:mi>g<\/mml:mi><\/mml:math>-good-neighbor conditional diagnosability (<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M7\"><mml:mi>g<\/mml:mi><\/mml:math>-GNCD) is the maximum number of faulty processors that has been correctly identified in a system, and any fault-free processor has no less than<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M8\"><mml:mi>g<\/mml:mi><\/mml:math>fault-free neighbors. Exchanged<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M9\"><mml:mi>X<\/mml:mi><\/mml:math>-cubes are a class of irregular networks, obtained by deleting links from hypercubes and some variant networks of hypercubes (<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M10\"><mml:mi>X<\/mml:mi><\/mml:math>-cubes). They not only combine the advantages of<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M11\"><mml:mi>X<\/mml:mi><\/mml:math>-cubes but also reduce the interconnection complexity. Exchanged<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M12\"><mml:mi>X<\/mml:mi><\/mml:math>-cubes classify its nodes into two different classes clusters with a unique connecting rule. In this paper, we propose the generalized exchanged<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M13\"><mml:mi>X<\/mml:mi><\/mml:math>-cubes framework so that architecture can be constructed by different connecting rules. Furthermore, we study the<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M14\"><mml:msup><mml:mrow><mml:mi>R<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>g<\/mml:mi><\/mml:mrow><\/mml:msup><\/mml:math>-connectivity and<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M15\"><mml:mi>g<\/mml:mi><\/mml:math>-GNCD of generalized exchanged<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M16\"><mml:mi>X<\/mml:mi><\/mml:math>-cubes under the PMC and MM<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M17\"><mml:msup><mml:mrow\/><mml:mrow><mml:mo>\u2217<\/mml:mo><\/mml:mrow><\/mml:msup><\/mml:math>models. As applications, the<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M18\"><mml:msup><mml:mrow><mml:mi>R<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>g<\/mml:mi><\/mml:mrow><\/mml:msup><\/mml:math>-connectivity and<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M19\"><mml:mi>g<\/mml:mi><\/mml:math>-GNCD of generalized exchanged hypercubes, dual-cube-like networks, generalized exchanged crossed cubes, and locally generalized exchanged twisted cubes are determined, respectively.<\/jats:p>","DOI":"10.1155\/2020\/9793082","type":"journal-article","created":{"date-parts":[[2020,5,26]],"date-time":"2020-05-26T23:31:16Z","timestamp":1590535876000},"page":"1-16","source":"Crossref","is-referenced-by-count":4,"title":["Reliability Evaluation of Generalized Exchanged<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mi>X<\/mml:mi><\/mml:math>-Cubes Based on the Condition of<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mi>g<\/mml:mi><\/mml:math>-Good-Neighbor"],"prefix":"10.1155","volume":"2020","author":[{"given":"Xiaoyan","family":"Li","sequence":"first","affiliation":[{"name":"College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350108, China"},{"name":"Fujian Provincial Key Laboratory of Information Security of Network Systems, Fuzhou University, Fuzhou 350108, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hongbin","family":"Zhuang","sequence":"additional","affiliation":[{"name":"College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350108, China"},{"name":"Fujian Provincial Key Laboratory of Information Security of Network Systems, Fuzhou University, Fuzhou 350108, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shuming","family":"Zhou","sequence":"additional","affiliation":[{"name":"College of Mathematics and Informatics, Fujian Normal University, Fuzhou 350117, China"},{"name":"Fujian Provincial Key Laboratory of Network Security and Cryptology, Fujian Normal University, Fuzhou 350007, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hongju","family":"Cheng","sequence":"additional","affiliation":[{"name":"College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350108, China"},{"name":"Key Laboratory of Spatial Data Mining and Information Sharing, Ministry of Education, Fuzhou 350116, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Cheng-Kuan","family":"Lin","sequence":"additional","affiliation":[{"name":"College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350108, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6586-4588","authenticated-orcid":true,"given":"Wenzhong","family":"Guo","sequence":"additional","affiliation":[{"name":"College of Mathematics and Computer Science, Fuzhou 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