Dr Sara Herke
Lecturer
School of Mathematics and Physics
Staff House (41), Room 215
Journal Articles
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 (2018) Hamilton path decompositions of complete multipartite graphs. Journal of Combinatorial Theory. Series B, . 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 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
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, 60 79-108.
Herke, Sarada and Maenhaut, Barbara (2013) Perfect 1-factorisations of circulants with small degree. Electronic Journal of Combinatorics, 20 1: .
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. In: 22nd British Combinatorial Conference, St Andrews, Scotland, (1235-1246). 5-10 July 2009. 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