Academia

Papers, preprints

Apart from this list, also see my entries on Google Scholar (not completely accurate) and my papers on the arXiv. For computer code, see my BitBucket repository (old) or github (new).

In Progress

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

Submitted

Carlo Hämäläinen: Latin trades and simplicial complexes.
http://arxiv.org/abs/0907.1481

Published

Aleš Drápal, Carlo Hämäläinen: An enumeration of equilateral triangle dissections.
Discrete Applied Mathematics, Volume 158 Issue 14, July, 2010
http://arxiv.org/abs/0910.5199

Cavenagh, N.J., Hämäläinen, C., Lefevre, J.G. & Stones, D.S.: Multi-latin squares.
Discrete Mathematics, 311(13), 1164-1171.
http://arxiv.org/abs/1007.4096

Aleš Drápal, Carlo Hämäläinen, Dan Rosendorf: An enumeration of spherical latin bitrades.
Australasian Journal of Combinatorics, 47 (2010), 133-143
http://arxiv.org/abs/0907.1376/

Aleš Drápal, Carlo Hämäläinen, Vítěslav Kala: Latin bitrades and dissections of equilateral triangles.
J. Combin. Des. 18 (2010), no. 1, 1-24
http://arxiv.org/abs/0907.1789

Nicholas J. Cavenagh, Carlo Hämäläinen, Adrian M. Nelson, On completing three cyclic transversals to a latin square.
Finite Fields and Their Applications, 15, 294-303
http://arxiv.org/abs/0712.0233

Carlo Hämäläinen: Partitioning 3-homogeneous latin bitrades.
Geometriae Dedicata, Volume 133 Issue 1, 2008, 181-193
http://arxiv.org/abs/0710.0938

Nicholas J. Cavenagh, Aleš Drápal, Carlo Hämäläinen: Latin bitrades derived from groups.
Discrete Mathematics, Volume 308 Issue 24 (2007), 6189-6202.
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
Pi_Sky_10.pdf

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

M.A. Collier, S.J. Jeffrey, L.D. Rotstayn, K.K-H. Wong, S. M. Dravitzki, C. Moeseneder, C.
Hamalainen, J.I. Syktus, R. Suppiah, J. Antony, A. El Zein and M. Atif: The CSIRO-Mk3.6.0 Atmosphere-Ocean GCM:
participation in CMIP5 and data publication, MODSIM2011.

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)