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Algorithms Course Materials on the Net,by Kirk Pruhs,
University of Pittsburgh
This is a list of links to courses, many of which
have relevant notes you can see to supplement our
text, particulary on fundamental graph algorithms,
such as for the minimum spanning tree.
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Concise Tutorial on Finite Automata, by Roberto
Giovannetti, University of Milan
This offers a nice tutorial, relevant to Chapter
10, and you can get AUTOMATA software
(free).
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Dijkstra's Shortest Path Algorithm Animation in Java, by
Carla Laffra
This allows you to step through Dijkstra's
shortest path algorithm (Chapter 7). Begin
with the example, then you can create your
own network. Source code is also provided.
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Discrete Math, by Jennifer D. Jones, University of
Oregon
This has interesting materials, although it is
one year old. Check the glossary of terms by
clicking on the author's icon:
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Discrete Math - CS22 at Brown University
This has some notes and homework
problems. Look at Handoout 1: Proof
Techniques. Homework 1 doesn't have our
topics, but it has fallacious ``proofs'' of some
geometry statements.
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Free On-Line Dictionary of Computing, by Denis Howe
This has evolved into the premier dictionary
on computer science. Lookup some terms,
starting with ``relation''.
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Graph Drawing, German National Science Foundation
Research Center
This is beyond our course, but as a computer
scientist, you might appreciate their software
developments.
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Graph Theory Tutorials, by Chris K. Caldwell, University
of Tennessee at Martin
This has three tutorials: Introduction to
Graph Theory, Euler Circuits and Paths,
and Coloring Problems. In addition, there
are links to related resources.
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Graphs: Theory - Algorithms - Complexity, by Thomas
Emden-Weinert, Humboldt University
If you get interested in graph theory, this has
lots of links of interest.
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MathMania - Graph Theory
This has tutorials, exercises, a glossary, and
more.
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MEGA Mathematics, from Los Alamos National Lab.
Check the ``Games on Graphs'' and
``Machines that eat your words.'' The former
has some basic terms and concepts; the
latter is about finite state machines (Chapter
10 in text).
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Proofs in Mathematics, by Alexander Bogomolny.
This has a collection of proofs annotated to
make them more interesting. Look at the
proof techniques, rather than the contents of
the theorems.
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Understanding Mathematics, by Peter Alfeld.
This has a useful introduction, especially for
students who have math anxiety (or phobia).
In his first deomonstration of "An Example of
Logical Construction," he illustrates how to
build on simpler mathematical concepts.
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In addition, my Mathematical Programming Glossary
contains many terms in graph theory and other areas
discrete mathematics (and of computer science).
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