Dr Sara Davies

Dr Sara Davies is a Senior Lecturer in the School of Mathematics and Physics at The University of Queensland. Her research interests include combinatorics and pure mathematics. She has contributed to various publications in combinatorial mathematics, including work on perfect 1-factorisations and Steiner triple systems. Dr Davies has also engaged in educational research, exploring conditional probability in mathematics education. Her academic profile reflects a commitment to both research and teaching within the mathematics department.

Sara Davies (Herke) is a researcher at The University of Queensland, specializing in hypergraphs, graph decompositions, Latin squares, and broadcast domination. Her work explores structural properties of hypergraphs, including decompositions of complete 3-uniform hypergraphs into smaller hypergraphs. She investigates domination in graphs, particularly through broadcasts and dominating sets in trees. Her research also includes perfect 1-factorisations of circulant graphs and Hamilton decompositions of infinite circulant graphs. Additionally, she examines the parity of sets of mutually orthogonal Latin squares and contributes to the study of finite cyclic groups. Her publications highlight connections between combinatorial structures and algebraic properties.