Index of Erich Prisner's Pages
Introduction to Game Theory
Deciding Wisely, Winning Games
Ideas in Mathematics
- Calculus II: Calculus II (MAT37X)
- CPT105: Introduction into Computing
- CPT106: Advanced
Office and Web Applications
- CPT357: Global Information Systems, Summer 2002
and Summer 2006
Homepage for the Spring 2002 class of "Discrete
Mathematcis" at the late UMUMUC
- Diskrete Mathematik: at the
server of the University of Cottbus there is still this script (in German)
on Discrete Mathematics from Spring 2000
- Survey on Intersection
is a survey on intersection graphs from 1998, located on the server of the
Universitaet Hamburg. It is suited for advanced graduate students in graph
theory and researchers in the field.
- Wolf, goat, cabbage: Play
the wolf, goat, cabbage puzzle and generalizations thereof in various applets,
and learn something about graphs. This set of pages could serve as an introduction
into graph theory, but it also contains questions leading to research problems.
- Matchings in bipartite
graphs: A page describing matchings in bipartite
graphs, and an applet where the concepts can be tried out. This is the English
translation of a German page I used for my "Discrete Math" classes.
- Minimum spanning trees:
The maximum/minimum spanning tree problems with
an applet constructing these trees.
- Shunting Trains:
Various applet puzzles of shunting trains. This
can be modelled using Graph Theory.
- Moving animals around:
Play with two applets moving animal arounds until
you get the right pattern.
- Coloring Graphs:
A small coloring applet for the coloring of graphs
- Chip firing: A
pair of applets, explaining the chip firing on graphs procedure for the hypercube.
- Go: GO
is a Java program developed for graph operators. This page describes the program,
and there is also a link for downloading the program.
- Voronoi Game:
Given are some points (supermarkets) in the plane.
For each of these supermarkets, that part of the plane being closest to that
supermarket defines a polygon-shaped area. Voronoi diagrams are the resulting
geometric patterns. In this applet two players can play a so-called Voronoi
game. The players place their points alternately, and the goal is to have
a larger total area than the opponent.
- Weaving webs::
In this applet the user can "waeve a web" by putting
together square tiles like those shown to the left. The pattern of the tiles
is periodic, based on a "lattice" generated by a few parameters. The resulting
webs have certain topological features. It is not clear, and may well be worth
investigating, how the parameters affect these topological parameters.
Play around with 3-braids and learn something about braid groups
and groups in general
- Tilings: How
many different tilings of a 6*7 rectangle with square tiles shown to the right
are possible, if no two tiles should have the same color at the common edge?
You can investigate this question with an applet.
- A Nim game variant:
This applet game is a variant of the well-known
Nim game. You can play against computers of different strength.
- Random Walks:
This is a few pages tutorial on random walks on graphs, explained for the
examples of paths and square grids. Recurrence relations and systems of recurrence
relations, probability distributions and some statistical parameters, and
eigenvalues of stochastic matrices are used when analyzing the situation.Again
there is ample opportunity to try out the walks using applets on the pages.
- Recurrence Relations:
- Euro: This
pages discusses on in how many ways certain euro and cent amounts could be
- Discrete Mathematics
- Diskrete Mathematik (Cottbus)
Play this soccer applet. The team members are
famous people from the science, math, computing, literature, music departments,
and so on.
Erich Prisner, May 2006
- List of Papers: This
is the list of my published papers and book.
- List of Talks: The
list of my talks given at conferences and colloquia at universities.
- Pseudosnakes talk: Slides
of a talk given at a conference in Como about so-called "k-pseudosnakes in