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- W2050372012 abstract "The determination of the minimum size of a k -neighborhood (i.e., a neighborhood of a set of k nodes) in a given graph is essential in the analysis of diagnosability and fault tolerance of multicomputer systems. The generalized cubes include the hypercube and most hypercube variants as special cases. In this paper, we present a lower bound on the size of a k -neighborhood in n -dimensional generalized cubes, where 2 n + 1 ⩽ k ⩽ 3 n − 2. This lower bound is tight in that it is met by the n -dimensional hypercube. Our result is an extension of two previously known results." @default.
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- W2050372012 date "2006-08-01" @default.
- W2050372012 modified "2023-09-24" @default.
- W2050372012 title "A lower bound on the size of k-neighborhood in generalized cubes" @default.
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- W2050372012 doi "https://doi.org/10.1016/j.amc.2005.11.080" @default.
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