Permuting machines and priority queues

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Permuting machines and priority queues

Machines whose sole function is to re-order their input data are considered. Every such machine defines a set of allowable input-output pairs of permutations. These sets are studied in terms of the minimal disallowed pairs (the basis). Some allowable sets with small bases are considered including the one defined by a priority queue machine. For more complex machines defined by two or more prior...

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Priority Queues on Parallel Machines

We present time and work optimal priority queues for the CREW PRAM, supporting FindMin in constant time with one proces-and DecreaseKey in constant time with O(log n) processors. A priority queue can be build in time O(log n) with O(n= log n) processors and k elements can be inserted into a priority queue in time O(log k) with O((log n + k)= log k) processors. With a slowdown of O(log log n) in...

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Priority Queues and Multisets

A priority queue, a container data structure equipped with the operations insert and delete-minimum, can re-order its input in various ways, depending both on the input and on the sequence of operations used. If a given input σ can produce a particular output τ then (σ, τ) is said to be an allowable pair. It is shown that allowable pairs on a fixed multiset are in one-to-one correspondence with...

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Pattern classes and priority queues

When a set of permutations comprising a pattern class C is submitted as input to a priority queue the resulting output is again a pattern class C′. The basis of C′ is determined for pattern classes C whose basis elements have length 3, and is finite in these cases. An example is given of a class C with basis {2431} for which C′ is not finitely based. Mathematics Subject Classification: 05A05, 6...

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Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/page/info/about/policies/terms.jsp. JSTOR's Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive o...

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ژورنال

عنوان ژورنال: Theoretical Computer Science

سال: 2005

ISSN: 0304-3975

DOI: 10.1016/j.tcs.2005.07.039