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GD
2001
Springer
14 years 3 months ago
Orthogonal Drawings with Few Layers
In this paper, we study 3-dimensional orthogonal graph drawings. Motivated by the fact that only a limited number of layers is possible in VLSI technology, and also noting that a s...
Therese C. Biedl, John R. Johansen, Thomas C. Sher...
GD
2001
Springer
14 years 3 months ago
Orthogonal Drawings of Plane Graphs without Bends
In an orthogonal drawing of a plane graph each vertex is drawn as a point and each edge is drawn as a sequence of vertical and horizontal line segments. A bend is a point at which...
Md. Saidur Rahman, Mahmuda Naznin, Takao Nishizeki
GD
2001
Springer
14 years 3 months ago
Low-Distortion Embeddings of Trees
We prove that every tree T = (V, E) on n vertices with edges of unit length can be embedded in the plane with distortion O( √ n); that is, we construct a mapping f: V → R2 suc...
Robert Babilon, Jirí Matousek, Jana Maxov&a...
GD
2005
Springer
14 years 4 months ago
Graph Treewidth and Geometric Thickness Parameters
Consider a drawing of a graph G in the plane such that crossing edges are coloured differently. The minimum number of colours, taken over all drawings of G, is the classical graph...
Vida Dujmovic, David R. Wood
GD
2001
Springer
14 years 3 months ago
A Short Note on the History of Graph Drawing
The origins of chart graphics (e.g., bar charts and line charts) are well known, with the seminal event being the publication of William Playfair´s (1759-1823) ¨The Commercial a...
Eriola Kruja, Joe Marks, Ann Blair, Richard C. Wat...