Titlebook: Designing Sorting Networks; A New Paradigm Sherenaz W. Al-Haj Baddar,Kenneth E. Batcher Book 2011 Springer Science+Business Media, LLC 2011

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內行

Posets,totally ordered. At any point in the middle of the sorting network , the array of keys is partially-ordered. A set of items where an ordering relation is established between some of the pairs of items is called a partially-ordered setor posetfor short. The partial-ordering of the keys at any point i

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JADED

A 16-Key Sorting Network,rstand the behavior of this network, we used the relabeling technique. We re-labeled the networkby exchanging K[3] with K[8] and by exchanging K[7] with K[12]. This, resulted in a more logical placement of the 14 keys in the three sets between K[0] and K[15] since it put: K[11] through K[14] in the

HUSH

HUSH

Divide and Conquer,t of their locations “strangers”. A strategy that can be used to design faster sorting networks using the divide-and-conquer technique is proposed here. Firstly, connect the . keys together into a poset. Afterwards, define the number of keys in each of the groups. If there are . groups defined, then

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Override

Finding Better Networks, .-key networks); or it is faster (uses less steps than all other .-key networks). As for the number of comparators, we can’t do any better than the information-theoretic lower bound. An .-key sorting network must sort all .! permutations of . distinct keys. Thus, the number of comparators must be a

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