Dr Sara Herke
Lecturer
School of Mathematics and Physics
+61 7 336 52323
Building 69, Room 704
Journal Articles
Francetić, Nevena, Herke, Sara and Horsley, Daniel (2019). MAX for k-independence in multigraphs. Discrete Applied Mathematics, 26556-68. doi:10.1016/j.dam.2019.03.007
Bryant, Darryn, Hang, Hao Chuien and Herke, Sarada (2018). Hamilton path decompositions of complete multipartite graphs. Journal of Combinatorial Theory. Series B, 1351-15. 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, 15567-99. 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, 6191-105. 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, 48743-73. 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
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 (2014). On the perfect 1-factorisation problem for circulant graphs of degree 4. Australasian Journal of Combinatorics, 6079-108.
Herke, Sarada and Maenhaut, Barbara (2013). Perfect 1-factorisations of circulants with small degree. Electronic Journal of Combinatorics, 20 (1) doi:10.37236/2264
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)
Herke, S. and Mynhardt, C. M. (2009). Radial trees. Discrete Mathematics, 309 (20) 5950-5962. doi:10.1016/j.disc.2009.04.024
Conference Papers
Piggott, Adam, Herke, Sara, McIntyre, Timothy and Bulmer, Michael (2019). The effect of an interdisciplinary science course on student perceptions of computer programming. In: Proceedings of the Australian Conference on Science and Mathematics Education (2019). Australian Conference on Science and Mathematics Education 2019, Sydney, Australia, (162-168). 2-4 October 2019.
Cockayne, E.J., Herke, S. and Mynhardt, C.M. (2011).Broadcasts and domination in trees. 22nd British Combinatorial Conference, St Andrews, Scotland, 5-10 July 2009. Amsterdam, Netherlands :Elsevier BV. doi: 10.1016/j.disc.2009.12.012
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