Overview
Background
Dr Sara Davies (née Herke) received her PhD in mathematics in 2014. She has also published under the names Sarada Herke and Sara Herke.
Availability
- Dr Sara Davies is:
- Available for supervision
Qualifications
- Doctor of Philosophy, The University of Queensland
Research interests
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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.
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Scholarship of teaching and learning
Active and blended learning; Perceptions of STEM topic among science students; Authentic assessment; Criteria-based grading
Works
Search Professor Sara Davies’s works on UQ eSpace
2010
Journal Article
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
Supervision
Availability
- Dr Sara Davies is:
- Available for supervision
Looking for a supervisor? Read our advice on how to choose a supervisor.
Supervision history
Current supervision
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Doctor Philosophy
Hypergraphs with high chromatic index
Principal Advisor
Other advisors: Professor Darryn Bryant
Completed supervision
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2024
Doctor Philosophy
Hamilton decompositions and edge colourings of graph compositions
Associate Advisor
Other advisors: Professor Darryn Bryant
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2024
Doctor Philosophy
Generalisations of Uniform and Perfect 1-Factorisations of Graphs
Associate Advisor
Other advisors: Associate Professor Barbara Maenhaut
Media
Enquiries
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