Search results for "Optimal binary search tree"

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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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Guided local search for the optimal communication spanning tree problem

2011

This paper considers the optimal communication spanning tree (OCST) problem. Previous work analyzed features of high-quality solutions. Consequently, integrating this knowledge into a metaheuristic increases its performance for the OCST problem. In this paper, we present a guided local search (GLS) approach which dynamically changes the objective function to guide the search process into promising areas. In contrast to traditional approaches which reward promising solution features by favoring edges with low weights pointing towards the tree's center, GLS penalizes low-quality edges with large weights that do not point towards the tree's center.

Distributed minimum spanning treeTree (data structure)Tree traversalMathematical optimizationSpanning treeOptimal binary search treeGuided Local SearchMinimum spanning treeMetaheuristicMathematicsProceedings of the 13th annual conference companion on Genetic and evolutionary computation
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