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 Article: On Hamilton decompositions of infinite circulant graphs
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
Journal Article: Parity of sets of mutually orthogonal Latin squares
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
Journal Article: On Ryser's conjecture for linear intersecting multipartite hypergraphs
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
Journal Article: More nonexistence results for symmetric pair coverings
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
Journal Article: Radial trees
Herke, S. and Mynhardt, C. M. (2009). Radial trees. Discrete Mathematics, 309 (20), 5950-5962. doi: 10.1016/j.disc.2009.04.024
Hypergraphs with high chromatic index
Doctor Philosophy
Generalisations of Uniform and Perfect 1-Factorisations of Graphs
(2024) Doctor Philosophy
Hamilton decompositions and edge colourings of graph compositions
(2024) Doctor Philosophy
On Hamilton decompositions of infinite circulant graphs
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
Parity of sets of mutually orthogonal Latin squares
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
On Ryser's conjecture for linear intersecting multipartite hypergraphs
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
More nonexistence results for symmetric pair coverings
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, S. and Mynhardt, C. M. (2009). Radial trees. Discrete Mathematics, 309 (20), 5950-5962. doi: 10.1016/j.disc.2009.04.024
Almost resolvable duplicated Steiner triple systems
Bryant, Darryn, Davies, Sara and Neubecker, Jack (2024). Almost resolvable duplicated Steiner triple systems. Australasian Journal of Combinatorics, 88 (2), 256-265.
Perfect 1-factorisations of complete k-uniform hypergraphs
Davies, Sara, Maenhaut, Barbara and Mitchell, Jeremy (2023). Perfect 1-factorisations of complete k-uniform hypergraphs. Australasian Journal of Combinatorics, 85 (1), 35-48.
MAX for k-independence in multigraphs
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
Hamilton path decompositions of complete multipartite graphs
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
On Hamilton decompositions of infinite circulant graphs
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
Parity of sets of mutually orthogonal Latin squares
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
On Ryser's conjecture for linear intersecting multipartite hypergraphs
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
More nonexistence results for symmetric pair coverings
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
Perfect 1-factorizations of a family of Cayley graphs
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
Decompositions of complete 3-uniform hypergraphs into small 3-uniform hypergraphs
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.
On the perfect 1-factorisation problem for circulant graphs of degree 4
Herke, Sarada (2014). On the perfect 1-factorisation problem for circulant graphs of degree 4. Australasian Journal of Combinatorics, 60, 79-108.
Perfect 1-factorisations of circulants with small degree
Herke, Sarada and Maenhaut, Barbara (2013). Perfect 1-factorisations of circulants with small degree. Electronic Journal of Combinatorics, 20 (1). doi: 10.37236/2264
Broadcasts and domination in trees
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
On the possible orders of a basis for a finite cyclic group
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
The effect of an interdisciplinary science course on student perceptions of computer programming
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.
Perfect 1-Factorisations of Circulant Graphs
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
Hypergraphs with high chromatic index
Doctor Philosophy — Principal Advisor
Other advisors:
Generalisations of Uniform and Perfect 1-Factorisations of Graphs
(2024) Doctor Philosophy — Associate Advisor
Other advisors:
Hamilton decompositions and edge colourings of graph compositions
(2024) Doctor Philosophy — Associate Advisor
Other advisors: