Dr Sara Herke

Lecturer

School of Mathematics and Physics
Faculty of Science

Overview

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

Qualifications

  • Doctor of Philosophy, The University of Queensland

Publications

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

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Supervision

  • Doctor Philosophy

View all Supervision

Publications

Featured Publications

Journal Article

Conference Publication

  • 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

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