Results 41 to 50 of about 1,378,752 (293)
Combinatorics of non-ambiguous trees [PDF]
This article investigates combinatorial properties of non-ambiguous trees. These objects we define may be seen either as binary trees drawn on a grid with some constraints, or as a subset of the tree-like tableaux previously defined by Aval, Boussicault ...
Jean-Christophe Aval +3 more
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A longer and updated version of this paper appears in: Shenoy, P. P., "Binary Join Trees for Computing Marginals in the Shenoy-Shafer Architecture," International Journal of Approximate Reasoning, 17(2--3), 1997, 239--263 (available from .The main goal ...
Shenoy, Prakash P.
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Theory exploration of binary trees [PDF]
The construction of a theory for binary trees is presented, based on the systematic exploration of the properties necessary for the proof-based synthesis and certification of sorting algorithms for binary trees. The process is computer supported, being realised in the frame of the Theorema system, with some additional proofs in Coq required for ...
Isabela Dramnesc +2 more
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Characterization of binary trees [PDF]
In "Level Number Sequences for Trees" Flagotet and Prodinger investigate the problem of counting the number of level number sequences associated to binary trees of $n$ binary nodes. I convert this problem into terms of exterior nodes or "leaves" and leaf
Brandstetter, Griffin
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The height of q-Binary Search Trees [PDF]
q-binary search trees are obtained from words, equipped with a geometric distribution instead of permutations. The average and variance of the heighth computated, based on random words of length n, as well as a Gaussian limit law.
Michael Drmota, Helmut Prodinger
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Right-cancellability of a family of operations on binary trees [PDF]
We prove some new results on a family of operations on binary trees, some of which are similar to addition, multiplication and exponentiation for natural numbers. The main result is that each operation in the family is right-cancellable.
Philippe Duchon
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Combining Binary Search Trees [PDF]
12 pages, 2 figures, ICALP ...
Erik D. Demaine +3 more
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Counting smaller trees in the Tamari order [PDF]
We introduce new combinatorial objects, the interval-posets, that encode intervals of the Tamari lattice. We then find a combinatorial interpretation of the bilinear form that appears in the functional equation of Tamari intervals described by Chapoton ...
Grégory Chatel, Viviane Pons
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Generation of Valid Labeled Binary Trees
International audienceGenerating binary trees is a well-known problem. In this paper, we add some constraints to leaves of these trees. Such trees are used in the morphing of polygons, where a polygon P is represented by a binary tree T and each angle of
Effantin, Brice
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Two bijections on Tamari Intervals [PDF]
We use a recently introduced combinatorial object, the $\textit{interval-poset}$, to describe two bijections on intervals of the Tamari lattice. Both bijections give a combinatorial proof of some previously known results.
Frédéric Chapoton +2 more
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