Balanced Aspect Ratio Trees and Their Use for Drawing Large Graphs
نویسندگان
چکیده
منابع مشابه
Balanced Aspect Ratio Trees and Their Use for Drawing Large Graphs
We describe a new approach for cluster-based drawing of large graphs, which obtains clusters by using binary space partition (BSP) trees. We also introduce a novel BSP-type decomposition, called the balanced aspect ratio (BAR) tree, which guarantees that the cells produced are convex and have bounded aspect ratios. In addition, the tree depth is O(log n), and its construction takes O(n log n) t...
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We describe a new approach for cluster-based drawing of very large graphs, which obtains clusters by using binary space partition (BSP) trees. We also introduce a novel BSP-type decomposition, called the balanced aspect ratio (BAR) tree, which guarantees that the cells produced are convex and have bounded aspect ratios. In addition, the tree depth is O(log n), and its construction takes O(n log...
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Spatial databases support a variety of geometric queries on point data such as range searches, nearest neighbor searches, etc. Balanced Aspect Ratio (BAR) trees are hierarchical space decomposition structures that are general-purpose and space-efficient, and, in addition, enjoy a worst case performance poly-logarithmic in the number of points for approximate queries. They maintain limits on the...
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Given a set S of n points on d, we show, for fixed d, how to construct in Ž . Ž . O n log n time a data structure we call the balanced aspect ratio BAR tree. A Ž . BAR tree is a binary space partition tree on S that has O log n depth in which Ž . every region is convex and ‘‘fat’’ that is, has a bounded aspect ratio . While previous hierarchical data structures such as k-d trees, quadtrees, oct...
متن کامل300 Balanced Aspect Ratio Trees : : Combining the Advantages of k - d Trees ( and Octrees CHRISTIAN
Given a set S of n points in lRd, we show, for fixed d, how to construct in O(n log n) time a data structure we call the Balanced Aspect Ratio (BAR) tree. A BAR tree is a binary space partition tree on S that has O(logn) depth and in which every region is convex and “fat” (that is, has a bounded aspect ratio). While previous hierarchical data structures, such as k-d trees, quadtrees, octrees, f...
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ژورنال
عنوان ژورنال: Journal of Graph Algorithms and Applications
سال: 2000
ISSN: 1526-1719
DOI: 10.7155/jgaa.00024