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Binary Tree Sequence Rotations and t-ary Tree Enumerations - Wu, Ro-Yu / Wang, Yue-Li
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Wu, Ro-Yu / Wang, Yue-Li:

Binary Tree Sequence Rotations and t-ary Tree Enumerations - Taschenbuch

ISBN: 3639176340

ID: 20019795801

[EAN: 9783639176346], Neubuch, Publisher/Verlag: VDM Verlag Dr. Müller | Binary Trees Rotations, Ranking, Unranking, and Loopless | In this book, we consider a transformation on binarytrees using new types of rotations. Each of the newlyproposed rotations is permitted only at nodes on theleft-arm or the right-arm of a tree. Consequently, wedevelop a linear time algorithm with at most n 1rotations for converting weight sequences between anytwo binary trees.we use right distance sequences (or RD-sequences forshort), to describe all t-ary trees with n internalnodes. Using a t-ary recursion tree and itsconcomitant tables, a systematical way can help us toinvestigate the structural representation of t-arytrees. Consequently, we develop efficient algorithmsfor determining the rank of a given t-ary tree inlexicographic order (i.e., the ranking algorithm),and for converting a positive integer to itscorresponding RD-sequence (i.e., the unrankingalgorithm). Both the ranking and unranking algorithmscan be run in O(tn) time and without really buildingany auxiliary table. In addition, we also present aloopless algorithm to enumerate Gray-codes of t-arytrees using RD-sequences. | Format: Paperback | Language/Sprache: english | 140 gr | 96 pp, [PU: VDM Verlag Dr. Müller, Saarbrücken]

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Binary Tree Sequence Rotations and t-ary Tree Enumerations - Ro-Yu Wu
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Ro-Yu Wu:

Binary Tree Sequence Rotations and t-ary Tree Enumerations - neues Buch

ISBN: 9783639176346

ID: 49d1b5cd5f40305b6cf1e042c3fad5b1

Binary Trees Rotations, Ranking, Unranking, and Loopless In this book, we consider a transformation on binary trees using new types of rotations. Each of the newly proposed rotations is permitted only at nodes on the left-arm or the right-arm of a tree. Consequently, we develop a linear time algorithm with at most n 1 rotations for converting weight sequences between any two binary trees. we use right distance sequences (or RD-sequences for short), to describe all t-ary trees with n internal nodes. Using a t-ary recursion tree and its concomitant tables, a systematical way can help us to investigate the structural representation of t-ary trees. Consequently, we develop efficient algorithms for determining the rank of a given t-ary tree in lexicographic order (i.e., the ranking algorithm), and for converting a positive integer to its corresponding RD-sequence (i.e., the unranking algorithm). Both the ranking and unranking algorithms can be run in O(tn) time and without really building any auxiliary table. In addition, we also present a loopless algorithm to enumerate Gray-codes of t-ary trees using RD-sequences. Bücher / Fremdsprachige Bücher / Englische Bücher 978-3-639-17634-6, VDM

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Binary Tree Sequence Rotations and t-ary Tree Enumerations - Ro-Yu Wu
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Ro-Yu Wu:
Binary Tree Sequence Rotations and t-ary Tree Enumerations - Taschenbuch

ISBN: 9783639176346

[ED: Taschenbuch], [PU: VDM Verlag], Neuware - In this book, we consider a transformation on binary trees using new types of rotations. Each of the newly proposed rotations is permitted only at nodes on the left-arm or the right-arm of a tree. Consequently, we develop a linear time algorithm with at most n 1 rotations for converting weight sequences between any two binary trees. we use right distance sequences (or RD-sequences for short), to describe all t-ary trees with n internal nodes. Using a t-ary recursion tree and its concomitant tables, a systematical way can help us to investigate the structural representation of t-ary trees. Consequently, we develop efficient algorithms for determining the rank of a given t-ary tree in lexicographic order (i.e., the ranking algorithm), and for converting a positive integer to its corresponding RD-sequence (i.e., the unranking algorithm). Both the ranking and unranking algorithms can be run in O(tn) time and without really building any auxiliary table. In addition, we also present a loopless algorithm to enumerate Gray-codes of t-ary trees using RD-sequences., [SC: 0.00], Neuware, gewerbliches Angebot, 220x150x6 mm, [GW: 159g]

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Binary Tree Sequence Rotations and t-ary Tree Enumerations - Ro-Yu Wu
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)
Ro-Yu Wu:
Binary Tree Sequence Rotations and t-ary Tree Enumerations - Taschenbuch

ISBN: 9783639176346

[ED: Taschenbuch], [PU: VDM Verlag], Neuware - In this book, we consider a transformation on binary trees using new types of rotations. Each of the newly proposed rotations is permitted only at nodes on the left-arm or the right-arm of a tree. Consequently, we develop a linear time algorithm with at most n 1 rotations for converting weight sequences between any two binary trees. we use right distance sequences (or RD-sequences for short), to describe all t-ary trees with n internal nodes. Using a t-ary recursion tree and its concomitant tables, a systematical way can help us to investigate the structural representation of t-ary trees. Consequently, we develop efficient algorithms for determining the rank of a given t-ary tree in lexicographic order (i.e., the ranking algorithm), and for converting a positive integer to its corresponding RD-sequence (i.e., the unranking algorithm). Both the ranking and unranking algorithms can be run in O(tn) time and without really building any auxiliary table. In addition, we also present a loopless algorithm to enumerate Gray-codes of t-ary trees using RD-sequences., [SC: 0.00], Neuware, gewerbliches Angebot, 220x150x6 mm, [GW: 159g]

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Binary Tree Sequence Rotations and t-ary Tree Enumerations - Ro-Yu Wu
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Ro-Yu Wu:
Binary Tree Sequence Rotations and t-ary Tree Enumerations - Taschenbuch

2009, ISBN: 3639176340

ID: 20014842181

[EAN: 9783639176346], Neubuch, [PU: VDM Verlag Aug 2009], Neuware - In this book, we consider a transformation on binary trees using new types of rotations. Each of the newly proposed rotations is permitted only at nodes on the left-arm or the right-arm of a tree. Consequently, we develop a linear time algorithm with at most n 1 rotations for converting weight sequences between any two binary trees. we use right distance sequences (or RD-sequences for short), to describe all t-ary trees with n internal nodes. Using a t-ary recursion tree and its concomitant tables, a systematical way can help us to investigate the structural representation of t-ary trees. Consequently, we develop efficient algorithms for determining the rank of a given t-ary tree in lexicographic order (i.e., the ranking algorithm), and for converting a positive integer to its corresponding RD-sequence (i.e., the unranking algorithm). Both the ranking and unranking algorithms can be run in O(tn) time and without really building any auxiliary table. In addition, we also present a loopless algorithm to enumerate Gray-codes of t-ary trees using RD-sequences. 96 pp. Englisch

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Binary Tree Sequence Rotations and t-ary Tree Enumerations
Autor:

Wu, Ro-Yu

Titel:

Binary Tree Sequence Rotations and t-ary Tree Enumerations

ISBN-Nummer:

3639176340

In this book, we consider a transformation on binary trees using new types of rotations. Each of the newly proposed rotations is permitted only at nodes on the left-arm or the right-arm of a tree. Consequently, we develop a linear time algorithm with at most n - 1 rotations for converting weight sequences between any two binary trees. we use right distance sequences (or RD-sequences for short), to describe all t-ary trees with n internal nodes. Using a t-ary recursion tree and its concomitant tables, a systematical way can help us to investigate the structural representation of t-ary trees. Consequently, we develop efficient algorithms for determining the rank of a given t-ary tree in lexicographic order (i.e., the ranking algorithm), and for converting a positive integer to its corresponding RD-sequence (i.e., the unranking algorithm). Both the ranking and unranking algorithms can be run in O(tn) time and without really building any auxiliary table. In addition, we also present a loopless algorithm to enumerate Gray-codes of t-ary trees using RD-sequences.

Detailangaben zum Buch - Binary Tree Sequence Rotations and t-ary Tree Enumerations


EAN (ISBN-13): 9783639176346
ISBN (ISBN-10): 3639176340
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2009
Herausgeber: Vdm Verlag Dr. Müller

Buch in der Datenbank seit 05.03.2008 19:13:56
Buch zuletzt gefunden am 09.10.2016 23:33:37
ISBN/EAN: 3639176340

ISBN - alternative Schreibweisen:
3-639-17634-0, 978-3-639-17634-6

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