The k-ary n-cube is a popular interconnection network for many multiprocessor systems because of its good topological structure. In this paper, we investigated the relationship between the fault diagnosability of k-ary n-cube with missing edges and its minimum degree of vertices. Let G be a k-ary n-cube with missing edges and the minimum degree delta(G) = r. Then we show that the diagnosability of G is r for r >= 3, n >= 2 under the PMC model and BGM model. [GRAPHICS] .
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Univ Salerno, Dipartimento Informat, Via Giovanni Paolo II,132, I-84084 Fisciano, SA, ItalyUniv Salerno, Dipartimento Informat, Via Giovanni Paolo II,132, I-84084 Fisciano, SA, Italy
Anselmo, Marcella
Flores, Manuela
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Univ Salerno, Dipartimento Informat, Via Giovanni Paolo II,132, I-84084 Fisciano, SA, ItalyUniv Salerno, Dipartimento Informat, Via Giovanni Paolo II,132, I-84084 Fisciano, SA, Italy
Flores, Manuela
Madonia, Maria
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Univ Catania, Dipartimento Matemat & Informat, Viale Andrea Doria 6-a, I-95125 Catania, ItalyUniv Salerno, Dipartimento Informat, Via Giovanni Paolo II,132, I-84084 Fisciano, SA, Italy
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Henan Normal Univ, Sch Math & Informat Sci, Xinxiang 453007, Henan, Peoples R ChinaHenan Normal Univ, Sch Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
Yang, Yuxing
Li, Jing
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Taiyuan Univ Sci & Technol, Sch Appl Sci, Taiyuan 030024, Shanxi, Peoples R ChinaHenan Normal Univ, Sch Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
Li, Jing
Wang, Shiying
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Henan Normal Univ, Sch Math & Informat Sci, Xinxiang 453007, Henan, Peoples R ChinaHenan Normal Univ, Sch Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
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Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China
Charles Univ Prague, Fac Math & Phys, Prague 11800, Czech RepublicBeijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China
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Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R ChinaHenan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
Wang, Shiying
Li, Jing
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Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R ChinaHenan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
Li, Jing
Lin, Shangwei
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Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R ChinaHenan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
Lin, Shangwei
Wang, Ruixia
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Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R ChinaHenan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China