Search results for "Random binary tree"

showing 5 items of 5 documents

A distance metric on binary trees using lattice-theoretic measures

1990

A so called height function which is a strictly antitone supervaluation is defined on binary trees. Via lattice-theoretic results and using the height function, we can define a distance metric on binary trees of size n which can be computed in expected time O(n 3/2 )

Binary treeData structureRandom binary treeComputer Science ApplicationsTheoretical Computer ScienceHeight functionCombinatoricsTree structureLattice (order)Signal ProcessingMetric (mathematics)Metric treeComputer Science::DatabasesInformation SystemsMathematicsInformation Processing Letters
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On the listing and random generation of hybrid binary trees

1994

We consider in this paper binary trees whose internal nodes are either associative or non-associative. Hybrid binary trees are equivalence classes with respect to the associative property. We count, list and generate randomly hybrid binary trees using Fibonacci numbers.

Discrete mathematicsBinary treeApplied MathematicsWeight-balanced treeScapegoat treeRandom binary treeComputer Science ApplicationsCombinatoricsComputational Theory and MathematicsBinary search treeGeometry of binary search treesTernary search treeBinary expression treeMathematicsInternational Journal of Computer Mathematics
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Generation of Valid Labeled Binary Trees

2003

International audience; Generating 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 P is a weight on a leaf of T. In the following, we give two algorithms to generate all binary trees, without repetitions, having the same weight distribution to their leaves and representing all parallel polygons to P.

Discrete mathematicsBinary treeOptimal binary search tree[INFO.INFO-DS]Computer Science [cs]/Data Structures and Algorithms [cs.DS]Weight-balanced tree[INFO.INFO-DS] Computer Science [cs]/Data Structures and Algorithms [cs.DS]Scapegoat treeComputer Science::Computational GeometryRandom binary treeCombinatoricsBinary search treeTernary search treeMetric treeMathematicsComputingMethodologies_COMPUTERGRAPHICS
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Right-arm rotation distance between binary trees

2003

We consider a transformation on binary trees, named right-arm rotation, which is a special instance of the well-known rotation transformation. Only rotations at nodes of the right arm of the trees are allowed. Using ordinal tools, we give an efficient algorithm for computing the right-arm rotation distance between two binary trees, i.e., the minimum number of rightarm rotations necessary to transform one tree into the other.

Tree rotationBinary treeData_MISCELLANEOUSWeight-balanced treeRandom binary treeComputer Science ApplicationsTheoretical Computer ScienceCombinatoricsBinary search treeGeometry of binary search treesSignal ProcessingTernary search treeRotation (mathematics)Information SystemsMathematicsInformation Processing Letters
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Short notes: Some Properties of the Rotation Lattice of Binary Trees

1988

Tree rotationBinary treeGeneral Computer ScienceLattice (order)Ternary search treeGeometryRandom binary treeMathematicsThe Computer Journal
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