William Pettersson,
Research Fellow

School of Science, RMIT University ,

Melbourne, Victoria, Australia

Email: william@ewpettersson.se

XMPP: william@ewpettersson.se

Languages: English, Swedish

School of Science, RMIT University ,

Melbourne, Victoria, Australia

Email: william@ewpettersson.se

XMPP: william@ewpettersson.se

Languages: English, Swedish

I also have a strong interest in computing, reaching from the algorithms I use in my research to the complex world of information security. I have practical experience with coding at all levels, from assembly for the HC12 through C, and C++ all the way to Python, PHP and Perl. Details on some of these projects are available below.

As a student I have played integral roles in the organisation of various social functions as a part of the Mathematics Students Society. I was a member of the Host Scientific Committee for the 2013 International Olympiad in Informatics and was involved with the Queensland Informatics & Programming Club to train high school students in informatics.

- complete graphs,
- circulant graphs, and
- multigraphs.

- Development of Regina, a mathematical software suite for 3-manifold topologists
- Census enumeration algorithms, and their complexity
- Spine codes of 3-manifolds
- Properties of Pachner graphs

moip_aira is an implementation of a parallel multi-objective integer programming algorithm that aims for perfect parallelisation. This project is under active development, but as yet has no official releases and as such may be broken at various releases.

graphlib is a library of graph decomposition techniques that were used to find various decompositions and factorisations which were in turn used to solve the cycle decomposition problem for complete graphs.

rook_decomp
is a small program that is currently trying to find a decomposition
of the complete bipartite graph on 2*n* vertices into copies
of the rook graph K_{n}.

My Github page lists many other projects that I have at some point worked on.

I am one of the developers of Regina, a suite of mathematical software for 3-manifold topologists. It focuses on the study of 3-manifold triangulations and normal surfaces. I also maintain the Gentoo packages for Regina. For official downloads for other distributions, see http://regina.sourceforge.net.

Gentoo packages for Regina are available in a layman overlay.
Once layman has been installed, you can install the overlay by running
`# layman -a regina-gentoo`

.
You will then be able to install Regina with `# emerge regina`

. Note
that version 9999 of Regina in the overlay will always update to the latest GIT
revision, which may or may not work at any given time.

- W. Pettersson. Computational Graph Theory,
*PhD Thesis*Oct 17 2014; (Available online) -
B. Burton and W. Pettersson.
Fixed parameter tractable algorithms in combinatorial topology,
*Lecture Notes in Computer Science*vol. 8591, 2014, pp.200-311. (Publisher, arXiv) -
D. Bryant, P. Danziger and W. Pettersson.
Bipartite 2-factorisations of complete multipartite graphs,
*Journal of Graph Theory*vol. 78, issue 4. April 2015;, pp.287-294 doi: 10.1002/jgt.21806 (Publisher) - D. Bryant, D. Horsley, and W. Pettersson.
Cycle decompositions V: Complete graph into cycles of arbitrary lengths,
*Proceedings of the London Mathematical Society*2014; doi: 10.1112/plms/pdt051 (Publisher, arXiv) - B. Burton and W. Pettersson. An edge-based framework for enumerating
3-manifold triangulations, SoCG 2015: 31st International Symposium on
Computational Geometry,
*Leibniz International Proceedings in Informatics*vol. 34, Schloss Dagstuhl-Leibniz-Zentrum fuer Informatik, 2015, pp. 270-284. (Publisher, arXiv) - B Burton, S. Cabello, S. Kratsch, W. Pettersson. The parameterized
complexity of finding a 2-sphere in a simplicial complex, STACS 2017: 34th
International Symposium on Theoretical Aspects of Computer Science.
*To appear* - W. Pettersson and M. Ozlen. A parallel approach to bi-objective integer
programming, Australian and New Zealand Industrial and Applied Mathematics
Journal.
*To appear*(arXiv)

- 2014 : MATH4303 Advanced Combinatorics
- 2011-2014 : MATH3301 Graph Theory and Design Theory
- 2010-2014 : MATH3302 Coding and Cryptography
- 2010-2014 : MATH1061 Discrete Mathematics
- 2011-2013 : MATH3500 Problems and Applications in Modern Mathematics
- 2011 : MATH4302 Combinatorial Designs
- 2010 : MATH3306 Set Theory and Logic