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MPI-INF D1 Publications :: Thesis :: Klau, Gunnar W.

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Thesis - Master's thesis | @MastersThesis | Masterarbeit

Author(s)*:Klau, Gunnar W.
BibTeX citekey*:Klau97a

Title, School
Title*:Quasi-orthogonales Zeichnen planarer Graphen mit wenigen Knicken
School:Universität des Saarlandes
Type of Thesis*:Master's thesis

Note, Abstract, Copyright
LaTeX Abstract:Drawing a graph nicely in the plane is a challenging task and mostly the

appropriate problems of maximizing several aesthetic criteria are
NP--complete. This thesis addresses the problem of finding an embedding for a
given planar graph such that the nodes are drawn on integer grid points and the
edges are following the horizontal and vertical grid lines without crossing
each other. These drawings are known as {\em orthogonal grid drawings} and are
highly accepted in practical applications such as automatic drawing of
diagrams and VLSI--design if the number of bends in the drawing is low. We
present an algorithm that extends an approach known as Tamassia's bend
minimization algorithm which produces a bend--optimal drawing for a planar
graph with a fixed planar representation and maximal degree of four. Therefore
we introduce the concept of {\em quasi--orthogonal grid embeddings} which allow
the edges to run locally between grid points in order to cope with graphs that
have an arbitrarily high degree. Furthermore a new method for compacting the
size of the drawing is proposed. The appendix of the thesis contains the full
{\tt cweb}--documented implementation, demos can be found in {\tt

Keywords:graph drawing, orthogonal, bend

Referees, Status, Dates
1. Referee:Prof. Dr. Kurt Mehlhorn
2. Referee:Prof. Dr. Michael Kaufmann
Supervisor:Dr. Petra Mutzel
Date Kolloquium:6 August 2020

MPG Unit:Max-Planck-Institut für Informatik
MPG Subunit:Algorithms and Complexity Group
Audience:experts only
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BibTeX Entry:
AUTHOR = {Klau, Gunnar W.},
TITLE = {Quasi-orthogonales Zeichnen planarer Graphen mit wenigen Knicken},
SCHOOL = {Universit{\"a}t des Saarlandes},
YEAR = {1997},
TYPE = {Master's thesis}
MONTH = {January},

Entry last modified by Gunnar Klau, 03/02/2010
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Gunnar Klau
02/26/1998 06:11:54 PM
Gunnar Klau
Uwe Brahm
Gunnar Klau
Gunnar Klau
Edit Dates
30/03/98 15:22:55
02/26/98 08:04:10 PM
26/02/98 19:03:13
26/02/98 18:11:55