A Fary grid drawing of a graph is a drawing on a three-dimensional grid such that vertices are placed at integer coordinates and edges are straight-lines such that no edge crossings are allowed. In this paper it is proved that each k-colorable graph (k 2) needs at least\Omega (n 3=2 ) volume to be drawn. Furthermore, it is shown how to draw 2-, 3- and 4-colorable graphs in a Fary grid fashion in O(n 2 ) volume
A three-dimensional grid drawing of a graph is a placement of the vertices at distinct points with i...
This paper investigates the following question: Given a grid , where is a proper subset of the int...
A grid drawing of a graph maps vertices to the grid $ℤ^d$ and edges to line segments that avoid grid...
A Fary grid drawing of a graph is a drawing on a three-dimensional grid such that vertices are place...
In this paper we contribute to the understanding of the geometric properties of 3D drawings. Namely,...
A three-dimensional grid drawing of a graph G is a placement of the vertices at distinct integer poi...
It is proved that every k-colourable graph on n vertices has a grid drawing with O(kn) area, and tha...
A three-dimensional grid drawing of a graph is a placement of the vertices at distinct points with i...
We prove that every n-vertex graph G with path-width pw(G) has a three-dimensional straight-line gri...
AbstractIt is proved that every k-colourable graph on n vertices has a grid drawing with O(kn) area,...
Graph drawing research has been mostly oriented toward two-dimensional drawings. This paper describe...
We prove that every n-vertex graph G with path-width pw(G) has a three-dimensional straight-line gri...
The no-three-in-line problem, introduced by Dudeney in 1917, asks for the maximum number of points i...
AbstractThis paper investigates the basic problem of computing crossing-free straight-line 3D grid d...
We provide O(n)-time algorithms for constructing the following types of drawings of n-vertex 3-conne...
A three-dimensional grid drawing of a graph is a placement of the vertices at distinct points with i...
This paper investigates the following question: Given a grid , where is a proper subset of the int...
A grid drawing of a graph maps vertices to the grid $ℤ^d$ and edges to line segments that avoid grid...
A Fary grid drawing of a graph is a drawing on a three-dimensional grid such that vertices are place...
In this paper we contribute to the understanding of the geometric properties of 3D drawings. Namely,...
A three-dimensional grid drawing of a graph G is a placement of the vertices at distinct integer poi...
It is proved that every k-colourable graph on n vertices has a grid drawing with O(kn) area, and tha...
A three-dimensional grid drawing of a graph is a placement of the vertices at distinct points with i...
We prove that every n-vertex graph G with path-width pw(G) has a three-dimensional straight-line gri...
AbstractIt is proved that every k-colourable graph on n vertices has a grid drawing with O(kn) area,...
Graph drawing research has been mostly oriented toward two-dimensional drawings. This paper describe...
We prove that every n-vertex graph G with path-width pw(G) has a three-dimensional straight-line gri...
The no-three-in-line problem, introduced by Dudeney in 1917, asks for the maximum number of points i...
AbstractThis paper investigates the basic problem of computing crossing-free straight-line 3D grid d...
We provide O(n)-time algorithms for constructing the following types of drawings of n-vertex 3-conne...
A three-dimensional grid drawing of a graph is a placement of the vertices at distinct points with i...
This paper investigates the following question: Given a grid , where is a proper subset of the int...
A grid drawing of a graph maps vertices to the grid $ℤ^d$ and edges to line segments that avoid grid...