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- W2164528142 abstract "Let n and k be positive integers with n − k ⩾ 1 . The arrangement graph A n , k is recognized as an attractive interconnection network. Let f m be the minimum number of faulty vertices that make every sub-arrangement graph A n − m , k − m faulty in A n , k under vertex-failure model. In this paper, we prove that f 0 = 1 , f 1 = n , f n − 2 = n ! / 2 , and n ! / ( n − m ) ! ⩽ f m ⩽ ( k − 1 m − 1 ) n ! / ( n − m ) ! − 2 ( k − 2 m − 1 ) n ! / ( n − m + 1 ) ! for 2 ⩽ m ⩽ k − 1 ." @default.
- W2164528142 created "2016-06-24" @default.
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- W2164528142 date "2014-05-01" @default.
- W2164528142 modified "2023-10-13" @default.
- W2164528142 title "Fault tolerance in the arrangement graphs" @default.
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- W2164528142 doi "https://doi.org/10.1016/j.tcs.2014.03.025" @default.
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