Torsten Thiele

Publication List Details

Period

1995 - 2008

Number

18

Co-Authors

Discrete and Computational Geometry manuscript No. (will be inserted by the editor) Three-Dimensional Orthogonal Graph Drawing with Optimal Volume (2008)

Therese Biedl, Torsten Thiele, David R. Wood, T. Biedl, T. Thiele, D. R. Wood, ...

Abstract An orthogonal drawing of a graph is an embedding of the graph in the rectangular grid, with vertices represented by axis-aligned boxes, and edges represented by paths in the grid which only...

A Lower Bound on the Independence Number of Arbitrary Hypergraphs (2007)

Torsten Thiele, John Wiley

We present a lower bound on the independence number of arbitrary hypergraphs in terms of the degree vectors. The degree vector of a vertex v is given by d(v) = (d 1 (v); d 2 (v); : : :) where dm (v)...

Discrete and Computational Geometry manuscript No. (will be inserted by the editor) Three-Dimensional Orthogonal Graph Drawing with Optimal Volume (2007)

Therese Biedl, Torsten Thiele, David R. Wood

Abstract An orthogonal drawing of a graph is an embedding of the graph in the rectangular grid, with vertices represented by axis-aligned boxes, and edges represented by paths in the grid which only...

Three-Dimensional Orthogonal Graph Drawing with Optimal Volume (2004)

Therese Biedl, Torsten Thiele, David R. Wood

An orthogonal drawing of a graph is an embedding of the graph in the rectangular grid, with vertices represented by axis-aligned boxes, and edges represented by paths in the grid that only possibly...

Three-Dimensional Orthogonal Graph Drawing with Optimal Volume (2001)

Biedl, Therese, Thiele, Torsten, Wood, David R.

In this paper, we study three-dimensional orthogonal box-drawings of graphs without loops. We provide lower bounds for three scenarios: (1) drawings where vertices have bounded aspect ratio, (2)...

Three-Dimensional Orthogonal Graph Drawing with Optimal Volume (2001)

Biedl, Therese, Thiele, Torsten, Wood, David R.

In this paper, we study three-dimensional orthogonal box-drawings of graphs without loops. We provide lower bounds for three scenarios: (1) drawings where vertices have bounded aspect ratio, (2)...

Three-Dimensional Orthogonal Graph Drawing with Optimal Volume (2001)

Biedl, Therese, Thiele, Torsten, Wood, David R.

In this paper, we study three-dimensional orthogonal box-drawings of graphs without loops. We provide lower bounds for three scenarios: (1) drawings where vertices have bounded aspect ratio, (2)...

Three-Dimensional Grid Drawings of Graphs (1998)

Pach, János, Thiele, Torsten, Tóth, Géza

A three-dimensional grid drawing of a graph G is a placement of the vertices at distinct integer points so that the straight-line segments representing the edges of G are pairwise non-crossing. It is...

Three-Dimensional Grid Drawings of Graphs (1998)

Pach, János, Thiele, Torsten, Tóth, Géza

A three-dimensional grid drawing of a graph G is a placement of the vertices at distinct integer points so that the straight-line segments representing the edges of G are pairwise non-crossing. It is...

Three-Dimensional Grid Drawings of Graphs (1998)

Pach, János, Thiele, Torsten, Tóth, Géza

A three-dimensional grid drawing of a graph G is a placement of the vertices at distinct integer points so that the straight-line segments representing the edges of G are pairwise non-crossing. It is...

Three-Dimensional Grid Drawings of Graphs (1998)

János Pach, Torsten Thiele, Géza Tóth

. A three-dimensional grid drawing of a graph G is a placement of the vertices at distinct integer points so that the straight-line segments representing the edges of G are pairwise non-crossing. It...

Three-Dimensional Grid Drawings of Graphs (1998)

János Pach, Torsten Thiele, Géza Tóth, Fu Berlin

A three-dimensional grid drawing of a graph G is a placement of the vertices at distinct integer points so that the straight-line segments representing the edges of G are pairwise non-crossing. It is...

Three-Dimensional Grid Drawings of Graphs (1998)

Anos Pach Courant, Torsten Thiele, Fu Berlin

A three-dimensional grid drawing of a graph G is a placement of the vertices at distinct integer points so that the straight-line segments representing the edges of G are pairwise non-crossing. It is...

A Lower Bound on the Independence Number of General Hypergraphs in Terms of the Degree Vectors (1995)

Torsten Thiele

This paper proves a lower bound on the independence number of general hypergraphs in terms of the degree vectors. The degree vector of a vertex v is given by d(v) = (d1(v); d2(v); : : :) where dm(v)...

Point Sets with Distinct Distances (1995)

Hanno Lefmann, Torsten Thiele

For positive integers d and n let fd(n) denote the maximum cardinality of a subset of the n d -grid f1; 2; : : : ; ng d with distinct mutual euclidean distances. Improving earlier results of Erdos...

Geometric Selection Problems and Hypergraphs (1995)

Phd Thesis, Torsten Thiele, Supervisors Prof, Dr. M. Aigner, Prof Dr, E. Welzl

Contents Introduction 5 Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 Notations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 1...