Dr Sara Davies
Senior Lecturer
School of Mathematics and Physics
Building 69, Room 704
Researcher biography
Dr Sara Davies (née Herke) received her PhD in mathematics in 2014. She has also published under the names Sarada Herke and Sara Herke.
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.
Francetić, Nevena, Herke, Sara and Horsley, Daniel (2019). MAX for k-independence in multigraphs. Discrete Applied Mathematics, 265, 56-68. doi: 10.1016/j.dam.2019.03.007
Bryant, Darryn, Hang, Hao Chuien and Herke, Sarada (2019). Hamilton path decompositions of complete multipartite graphs. Journal of Combinatorial Theory. Series B, 135, 1-15. doi: 10.1016/j.jctb.2018.07.006
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
Francetic, Nevena, Herke, Sarada and Wanless, Ian M. (2018). Parity of sets of mutually orthogonal Latin squares. Journal of Combinatorial Theory Series A, 155, 67-99. doi: 10.1016/j.jcta.2017.10.006
Francetic, Nevena, Herke, Sarada, McKay, Brendan D. and Wanless, Ian M. (2017). On Ryser's conjecture for linear intersecting multipartite hypergraphs. European Journal of Combinatorics, 61, 91-105. doi: 10.1016/j.ejc.2016.10.004
Francetic, Nevena, Herke, Sarada and Horsley, Daniel (2015). More nonexistence results for symmetric pair coverings. Linear Algebra and Its Applications, 487 13357, 43-73. doi: 10.1016/j.laa.2015.09.006
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
Herke, Sarada (2014). On the perfect 1-factorisation problem for circulant graphs of degree 4. Australasian Journal of Combinatorics, 60, 79-108.
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
Cockayne, E.J., Herke, S. and Mynhardt, C.M. (2011). Broadcasts and domination in trees. Discrete Mathematics, 311 (13), 1235-1246. doi: 10.1016/j.disc.2009.12.012
Dukes, Peter, Hegarty, Peter and Herke, Sarada (2010). On the possible orders of a basis for a finite cyclic group. Electronic Journal of Combinatorics, 17 (1), 1-10. doi: 10.37236/351
Herke, S. and Mynhardt, C. M. (2009). Radial trees. Discrete Mathematics, 309 (20), 5950-5962. doi: 10.1016/j.disc.2009.04.024
Conference Paper
Piggott, Adam, Herke, Sara, McIntyre, Timothy and Bulmer, Michael (2019). The effect of an interdisciplinary science course on student perceptions of computer programming. Australian Conference on Science and Mathematics Education 2019, Sydney, Australia, 2-4 October 2019. Open Journal Systems.
Thesis
Herke, Sarada Rachelle Anne (2013). Perfect 1-Factorisations of Circulant Graphs. PhD Thesis, School of Mathematics and Physics, The University of Queensland. doi: 10.14264/uql.2014.98