Dr Sara Davies

Senior Lecturer

School of Mathematics and Physics
Faculty of Science


Dr Sara Davies (née Herke) received her PhD in mathematics in 2014. She has also published under the names Sarada Herke and Sara Herke.

Research Interests

  • Graph theory and design theory
    My research has been focused in graph theory and related areas of combinatorics such as design theory, hypergraphs and latin squares. Understanding the properties of graphs and hypergraphs is important for modelling a variety of relational systems; applications range from transportation networks, biological models and efficient storage of data. Design theory and latin squares also have vast applications, including the design of experiments and error-correcting codes. Some major themes of my research are graph decompositions, factorisations of graphs, and optimally covering the edges of hypergraphs.
  • Scholarship of teaching and learning
    Active and blended learning; Perceptions of STEM topic among science students; Authentic assessment; Criteria-based grading


  • Doctor of Philosophy, The University of Queensland


  • 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, S. and Mynhardt, C. M. (2009). Radial trees. Discrete Mathematics, 309 (20), 5950-5962. doi: 10.1016/j.disc.2009.04.024

View all Publications


  • Doctor Philosophy

  • Doctor Philosophy

  • Doctor Philosophy

View all Supervision


Featured Publications

Journal Article

Conference Publication

Other Outputs

  • 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

PhD and MPhil Supervision

Current Supervision

  • Doctor Philosophy — Principal Advisor

    Other advisors:

  • Doctor Philosophy — Associate Advisor

  • Doctor Philosophy — Associate Advisor

    Other advisors: