Associate Professor Barbara Maenhaut
Head of Maths, Deputy Head of School
Mathematics
+61 7 336 53258
Researcher biography
Dr Barbara Maenhaut's research interests are in combinatorial design theory and graph theory.
She received her PhD from the University of Queensland in 1999. Her current research projects are in the fields of:
- Graph decompositions
- Latin squares and perfect one-factorisations
Journal Articles
Davies, Sara, Maenhaut, Barbara and Mitchell, Jeremy (2023). Perfect 1-factorisations of complete k-uniform hypergraphs. Australasian Journal of Combinatorics, 85 (1), 35-48.
Berry, Duncan, Bryant, Darryn, Dean, Matthew and Maenhaut, Barbara (2018). Uniform decompositions of complete multigraphs into cycles. Journal of Combinatorial Designs, 26 (12), 595-615. doi: 10.1002/jcd.21630
Bryant, Darryn, Herke, Sarada, Maenhaut, Barbara and Webb, Bridget S. (2018). On Hamilton decompositions of infinite circulant graphs. Journal of Graph Theory, 88 (3), 434-448. doi: 10.1002/jgt.22223
Bryant, Darryn, Horsley, Daniel, Maenhaut, Barbara and Smith, Benjamin R. (2018). Decompositions of complete multigraphs into cycles of varying lengths. Journal of Combinatorial Theory Series B, 129, 79-106. doi: 10.1016/j.jctb.2017.09.005
Bryant, Darryn, Maenhaut, Barbara and Smith, Benjamin R. (2018). On Hamilton decompositions of line graphs of non-hamiltonian graphs and graphs without separating transitions. Australasian Journal of Combinatorics, 71 (3), 537-543.
Alspach, Brian, Bryant, Darryn, Horsley, Daniel, Maenhaut, Barbara and Scharaschkin, Victor (2016). On factorisations of complete graphs into circulant graphs and the Oberwolfach problem. Ars Mathematica Contemporanea, 11 (1), 157-173. doi: 10.26493/1855-3974.770.150
Maenhaut, Barbara and Smith, Benjamin R (2015). Face 2-colorable embeddings with faces of specified lengths. Journal of Graph Theory, 82 (3), 296-311. doi: 10.1002/jgt.21902
Herke, Sarada and Maenhaut, Barbara (2014). Perfect 1-factorizations of a family of Cayley graphs. Journal of Combinatorial Designs, 23 (9), 369-399. doi: 10.1002/jcd.21399
Bryant, Darryn, Herke, Sarada, Maenhaut, Barbara and Wannasit, Wannasiri (2014). Decompositions of complete 3-uniform hypergraphs into small 3-uniform hypergraphs. Australasian Journal of Combinatorics, 60 (2), 227-254.
Herke, Sarada and Maenhaut, Barbara (2013). Perfect 1-factorisations of circulants with small degree. Electronic Journal of Combinatorics, 20 (1). doi: 10.37236/2264
Bryant, Darryn, Cavenagh, Nicholas J., Maenhaut, Barbara, Pula, Kyle and Wanless, Ian M. (2012). Nonextendible Latin Cuboids. Siam Journal on Discrete Mathematics, 26 (1), 239-249. doi: 10.1137/110825534
Bryant, Darryn, Buchanan, Melinda, Horsley, Daniel, Maenhaut, Barbara and Scharaschkin, Victor (2011). On the non-existence of pair covering designs with at least as many points as blocks. Combinatorica, 31 (5), 507-528. doi: 10.1007/s00493-011-2639-y
Bryant, D, Horsley, D, Maenhaut, B and Smith, BR (2011). Cycle Decompositions of Complete Multigraphs. Journal of Combinatorial Designs, 19 (1), 42-69. doi: 10.1002/jcd.20263
Bryant, D., Egan, J., Maenhaut, B. and Wanless, I. M. (2009). Indivisible plexes in latin squares. Designs, Codes and Cryptography, 52 (1), 93-105. doi: 10.1007/s10623-009-9269-z
Bryant, D. and Maenhaut, B. (2008). Almost regular edge colorings and regular decompositions of complete graphs. Journal of Combinatorial Designs, 16 (6), 499-506. doi: 10.1002/jcd.20190
Maenhaut, B., Wanless, I. M. and Webb, B. S. (2007). Subsquare-free Latin squares of odd order. European Journal of Combinatorics, 28 (1), 322-336. doi: 10.1016/j.ejc.2005.07.002
Bryant, Darryn, Maenhaut, Barbara and Wanless, Ian M. (2006). New families of atomic Latin squares and perfect 1-factorisations. Journal of Combinatorial Theory Series A, 113 (4), 608-624. doi: 10.1016/j.jcta.2005.05.003
Bryant, D, El-Zanati, SI, Maenhaut, B and Vanden Eynden, C (2006). Decomposition of complete graphs into 5-cubes. Journal of Combinatorial Designs, 14 (2), 159-166. doi: 10.1002/jcd.20066
Bryant, D., Horsley, D. and Maenhaut, B. (2005). Decompositions into 2-regular subgraphs and equitable partial cycle decompositions. Journal of Combinatorial Theory, Series B, 93 (1), 67-72. doi: 10.1016/j.jctb.2004.06.002
Gamble, G, Maenhaut, BM, Seberry, J and Street, AP (2004). Further results on strongbox secured secret sharing schemes. Utilitas Mathematica, 66, 165-193.
Bryant, Darryn and Maenhaut, Barbara (2004). Decompositions of complete graphs into triangles and Hamilton cycles. Journal of Combinatorial Designs, 12 (3), 221-232. doi: 10.1002/jcd.10063
Bryant, D., Maenhaut, B., Quinn, K. and Webb, B. S. (2004). Existence and embeddings of partial Steiner triple systems of order ten with cubic leaves. Discrete Mathematics, 284 (1-3), 83-95. doi: 10.1016/j.disc.2004.01.009
Maenhaut, B. M. and Wanless, I. M. (2004). Atomic Latin squares of order eleven. Journal of Combinatorial Designs, 12 (1), 12-34. doi: 10.1002/jcd.10064
Adams, P, Bryant, D and Maenhaut, B (2004). Common multiples of complete graphs and a 4-cycle. Discrete Mathematics, 275 (1-3), 289-297. doi: 10.1016/j.disc.2002.11.001
Adams, P, Bryant, D and Maenhaut, B (2004). Cube factorizations of complete graphs. Journal of Combinatorial Designs, 12 (5), 381-388. doi: 10.1002/jcd.20015
Adams, P., Bryant, D. E., El-Zanati, S. I., Vanden Eynden, C. and Maenhaut, B. (2003). Least common multiples of cubes. Bulletin of the Institute of Combinatorics and its Applications, 38, 45-49.
Bryant, D., Grannell, M., Griggs, T. and Maenhaut, B. (2003). On the volume of 4-cycle trades. Graphs And Combinatorics, 19 (1), 53-63. doi: 10.1007/s00373-002-0484-x
Grannell, MJ, Griggs, TS, Quinn, KAS, Maenhaut, BM and Stanton, RG (2003). More on exact bicoverings of 12 points. Ars Combinatoria, 69, 197-213.
Bryant, Darryn, Maenhaut, Barbara M. and Wanless, Ian M. (2002). A family of perfect factorisations of complete bipartite graphs. Journal of Combinatorial Theory Series A, 98 (2), 328-342. doi: 10.1006/jcta.2001.3240
Maenhaut, B. M. (2001). On the volume of 5-cycle trades. Graphs And Combinatorics, 17 (2), 315-328. doi: 10.1007/s003730170045
Maenhaut, B. (2000). Intersection problem for maximum pentagon packings. Journal of Combinatorial Mathematics and Combinatorial Computing, 32, 65-78.
Billington, E. J., Hoffman, D. G. and Maenhaut, B. H. (1999). Group divisible pentagon systems. Utilitas Mathematica, 55 (May 1999), 211-219.
Bryant, Darryn E. and Maenhaut, Barbara M. (1998). Defining sets of G-designs. The Australasian Journal of Combinatorics, 17, 257-266.
Maenhaut, Barbara M. (1998). The intersection problem for group divisible pentagon systems. Bulletin of the Institute of Combinatorics and its Applications, 24, 73-78.
Delaney, Cathy, Gray, Brenton D., Gray, Ken, Maenhaut, Barbara M., Sharry, Martin J. and Street, Anne Penfold (1997). Pointwise defining sets and trade cores. Australasian Journal of Combinatorics, 16, 51-76.
Conference Papers
Maenhaut, Barbara (2017). 50 years of the Oberwolfach problem. 5th International Combinatorics Conference, Melbourne, VIC, Australia, 5-9 December 2017.
Maenhaut, Barbara (2016). Hamilton decompositions. 30th Midwestern Conference on Combinatorics and Combinatorial Computing, Normal, ILL, United States, 14-16 October 2016.
Worsley, S. R., Hibberd, K. E. and Maenhaut, B. M. (2007). Enhancing the student experience in mathematics through the use of a group project. EMAC 2007: 8th Biennial Engineering Mathematics and Applications Conference, Hobart, TAS, Australia, 1-4 July, 2007. Cambridge, United Kingdom: Cambridge University Press. doi: 10.0000/anziamj.v49i0.371
Bryant, Darryn and Maenhaut, Barbara (2003). Common multiples of complete graphs. United Kingdom: Cambridge University Press. doi: 10.1112/S0024611502013771
Thesis
Maenhaut, Barbara M. (1998). Substructures of cycle systems with applications to access schemes. PhD Thesis, School of Physical Sciences, The University of Queensland. doi: 10.14264/6666821