Tree Drawing Algorithms
نویسنده
چکیده
Rowan University 5.
منابع مشابه
A New Heuristic Algorithm for Drawing Binary Trees within Arbitrary Polygons Based on Center of Gravity
Graphs have enormous usage in software engineering, network and electrical engineering. In fact graphs drawing is a geometrically representation of information. Among graphs, trees are concentrated because of their ability in hierarchical extension as well as processing VLSI circuit. Many algorithms have been proposed for drawing binary trees within polygons. However these algorithms generate b...
متن کاملArea-eecient Algorithms for Upward Straight-line Tree Drawings ?
In this paper, we investigate planar upward straight-line grid drawing problems for bounded-degree rooted trees so that a drawing takes up as little area as possible. A planar upward straight-line grid tree drawing satisses the following four constraints: (1) all vertices are placed at distinct grid points (grid), (2) all edges are drawn as straight lines (straight-line), (3) no two edges in th...
متن کاملMinimum-Layer Upward Drawings of Trees
An upward drawing of a rooted tree T is a planar straight-line drawing of T where the vertices of T are placed on a set of horizontal lines, called layers, such that for each vertex u of T , no child of u is placed on a layer vertically above the layer on which u has been placed. In this paper we give a linear-time algorithm to obtain an upward drawing of a given rooted tree T on the minimum nu...
متن کاملOptimum-width upward drawings of trees I: Rooted pathwidth
An upward drawing of a rooted tree is a drawing such that no parents are below their children. It is ordered if the edges to children appear in prescribed order around each vertex. It is well-known that any tree has an upward (unordered) drawing with width log(n+ 1). For ordered drawings, the best-known bounds for the width for binary trees is O(logn), while for arbitrary trees it is O(2 √ ). W...
متن کاملHierarchical Clustering of Trees: Algorithms and Experiments
We focus on the problem of experimentally evaluating the quality of hierarchical decompositions of trees with respect to criteria relevant in graph drawing applications. We suggest a new family of tree clustering algorithms based on the notion of t-divider and we empirically show the relevance of this concept as a generalization of the ideas of centroid and separator. We compare the t-divider b...
متن کامل