Correcting Sorted Sequences in a Single Hop Radio Network
نویسنده
چکیده
By k-disturbed sequence we mean a sequence obtained from a sorted sequence by changing the values of at most k elements. We present an algorithm for single-hop radio networks that sorts a k-disturbed sequence of length n (where each station stores single key) in time 4n+ k · (⌈lg k⌉+⌈lg(n−k+1)⌉+6⌈lg k⌉)−2 with energetic cost 3·⌈ (⌈lg k⌉+1)(⌈lg k⌉+2) 2⌊n/k⌋ ⌉+ 4 · ⌈ ⌈lg k⌉ ⌊n/k⌋ ⌉+ 10. If (⌈lg k⌉+1)(⌈lg k⌉+2) 2 + ⌈lg k⌉ ≤ ⌊n/k⌋ then the energetic cost is bounded by 14.
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