Parallel Generation of t-ary Trees

Authors: not saved
Abstract:

A parallel algorithm for generating t-ary tree sequences in reverse B-order is presented. The algorithm generates t-ary trees by 0-1 sequences, and each 0-1 sequences is generated in constant average time O(1). The algorithm is executed on a CREW SM SIMD model, and is adaptive and cost-optimal. Prior to the discussion of the parallel algorithm a new sequential generation with O(1) average time complexity, and ranking and unranking algorithms with O(t n) time complexity is also given.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

parallel generation of t-ary trees

a parallel algorithm for generating t-ary tree sequences in reverse b-order is presented. the algorithm generates t-ary trees by 0-1 sequences, and each 0-1 sequences is generated in constant average time o(1). the algorithm is executed on a crew sm simd model, and is adaptive and cost-optimal. prior to the discussion of the parallel algorithm a new sequential generation with o(1) average time ...

full text

Parallel Generation of t-Ary Trees in A-order

We present a cost-optimal and adaptive parallel algorithm for generating t-ary trees in A-order. The generation is based on an encoding using integer sequences (z-sequences) due to Zaks [(1980), Lexicographic generation of ordered tree. Theor. Comput. Sci., 10, 63–82]. Our algorithm is the first introduced parallel generation algorithm, which generates t-ary trees in A-order in the literature. ...

full text

Parallel Enumeration of t–ary Trees in ASC SIMD Model

In this paper parallel algorithms are presented for enumeration and unranking of t–ary trees with n internal nodes. Generation algorithms are designed in the associative computing model ASC that belongs to a broad category of SIMD models. Tree sequences are generated in lexicographical order, with O(1) time per object, in a new representation, as combinations with repetitions with restricted gr...

full text

On Parallel Generation of t-Ary Trees in an Associative Model

In this paper a new parallel algorithm is presented for generation of t–ary trees. Computations run in an associative processor model. Tree sequences are generated in lexicographic order, with O(1) time per object, in a new representation, as combinations with repetitions with restricted growth. The corresponding full t–ary trees (x–sequences) appear in antilexicographic order.

full text

A Parallel Dynamic Programming Algorithm for Unranking t-ary Trees

In this paper an O(n) parallel algorithm is presented for fast unranking t–ary trees with n internal nodes in Zaks’ representation. A sequential O(nt) algorithm is derived on the basis of dynamic programming paradigm. In the parallel version of the algorithm processing is performed in a dedicated parallel architecture containing certain systolic and associative features. At first a coefficient ...

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 16  issue 2

pages  -

publication date 2005-06-01

By following a journal you will be notified via email when a new issue of this journal is published.

Keywords

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023