Research

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Contents

Current position

Postdoc (2008-2010) at the Eduard Čech Center, Charles University, Prague.

Papers, preprints

Papers and preprints are listed on this page. See also my entries on Google Scholar (not completely accurate) and the arXiv. For computer code, click here.

In preparation

N. Cavenagh, C. Hämäläinen: Transitive group-based bitrades.
http://arxiv.org/abs/0804.4663

Submitted for publication

Aleš Drápal, Carlo Hämäläinen, Vítěslav Kala: Latin bitrades and dissections of equilateral triangles.

Published

Nicholas J. Cavenagh, Carlo Hämäläinen, Adrian M. Nelson, On completing three cyclic transversals to a latin square.
To appear in Finite Fields and Applications.
http://arxiv.org/abs/0712.0233
source code

Carlo Hämäläinen: Partitioning 3-homogeneous latin bitrades.
Geometriae Dedicata
http://arxiv.org/abs/0710.0938

Nicholas J. Cavenagh, Aleš Drápal, Carlo Hämäläinen: Latin bitrades derived from groups.
To appear in Discrete Mathematics.
http://arxiv.org/abs/0704.1730

C. Hämäläinen: New 2-critical sets in the abelian 2-group.
J. Combin. Math. Combin. Comput. 61 (2007), 193--219.
http://arxiv.org/abs/math/0612338

Diane Donovan, Carlo Hämäläinen, and Anne Penfold Street: Seeking Solutions to Sudoku Squares
Pi In The Sky, Issue 10, January 2007
http://www.pims.math.ca/pi/issue10/Pi_Sky_10.pdf">PDF
local copy

PhD

Latin Bitrades And Related Structures
University of Queensland, 2007.

MSc

On the power of two random choices with different types of job
Oxford, 2004


Nonrefereed Publications

Diane Donovan, Carlo Hämäläinen and Anne Penfold Street: Exploring Sudoku Squares
Queensland Association of Mathematics Teachers Newsletter, 2006.

Conference Papers and Presentations

Carlo Hämäläinen: Latin bitrades and hypermaps, Grothendieck-Teichmüller Theory of Dessins d'Enfants, 2008 (Edinburgh, Scotland)

Carlo Hämäläinen: Latin bitrades and graph embeddings, Combinatorics 2008 (Costermano, Italy)

Nicholas J Cavenagh, Carlo Hämäläinen, Diane Donovan and Abdollah Khodkar: On Greedy Critical Sets in Latin Squares, Proceedings of the Fifteenth Australasian Workshop on Combinatorial Algorithms (AWOCA2004), Eds. Seok-Hee Hong, University of Sydney, 2004, 1157--163.

Nicholas J Cavenagh, Diane Donovan and Carlo Hämäläinen: Are there three MOLS of order 10?, Proceedings of the Sixteenth Australasian Workshop on Combinatorial Algorithms (AWOCA2005), Eds. J Ryan, P Manyem, K Sugeng, M Miller, Ballarat, Australia, September 18--21, 2005, 57--65. ISBN 0-0646-45252-5.

Carlo Hämäläinen: Latin Squares, Sudoku, and Dancing Links, Sixteenth Australasian Workshop on Combinatorial Algorithms (AWOCA2005)

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