The discrete mathematics group provides a supportive environment for Ph.D. students. Our students have received five Mollie Holman Doctoral Awards, which is the premier prize for Ph.D. students at Monash University.<\/p>\n
Senior members of the discrete mathematics group are seeking to supervise high-quality Ph.D. students. If you are interested in completing a Ph.D. in the group, then contact a prospective supervisor and follow these instructions: School of Mathematics<\/a> or Faculty of Information Technology<\/a>.<\/p>\n Nivedita Tewary (Higher dimensional trades, supervised by Ian Wanless)<\/p>\n Sophia Witham (Transversals in Latin squares, supervised by Ian Wanless)<\/p>\n Billy Child (higher dimensional matrix permanents, supervised by Ian Wanless and Daniel Horsley)<\/p>\n Hongyi Lyu (graph theory, supervised by Nick Wormald)<\/p>\n Ben Jones (generalisations of binary matroids, supervised by Graham Farr and Kerri Morgan)<\/p>\n Neel Kaul (graph theory, supervised by David Wood)<\/p>\n Raj Kaul (graph theory, supervised by David Wood)<\/p>\n Nikolai Karol (graph theory, supervised by David Wood)<\/p>\n Jung Hon Yip (graph theory, supervised by David Wood)<\/p>\n Carly Bodkin, The combinatorics of binary arrays, supervised by Ian Wanless.<\/p>\n Marc Distel, Global Structure of Minor-Free Graphs and Beyond, supervised by David Wood.<\/p>\n Afsane Ghafari, When transversals collide<\/a>, 2026. Supervised by Ian Wanless.<\/p>\n Jack Allsop<\/a>, Latin Subrectangles<\/a>, 2025. Supervised by Ian Wanless.<\/p>\n Michael Gill<\/a>, Enumeration and Isomorphism for 1-Factorisations and Latin squares<\/a>, 2025. Supervised by Ian Wanless.<\/p>\n Amber Gentle, Covering problems on permutations<\/a>, 2024. Supervised by Ian Wanless and Daniel Horsley.<\/p>\n Robert Hickingbotham<\/a>, Exploring sparse and hereditary graph classes via products and tree-decompositions<\/a>, 2024. Supervised by David Wood and Tony Huynh. <\/p>\n Rui Zhang<\/a>, The probability of non-existence of small substructures via clusters and cumulants<\/a>, 2023. Supervised by Nick Wormald and Mikhail Isaev.<\/p>\n Adam Gowty, Problems related to Sperner set systems<\/a>, 2022. Supervised by Daniel Horsley. <\/p>\n Angus Southwell, Properties of induced subgraphs of random graphs with given degree sequences<\/a>, 2022. Supervised by Nick Wormald, Jane Gao and Mikhail Isaev.<\/p>\n Harald B\u00f6geholz, A Relational Model for Parallel Computation<\/a>, 2022. Supervised by Michael Brand and Graham Farr.<\/p>\n Ajani De Vas Gunasekara,\u00a0Completion and Embedding Problems for Combinatorial Designs<\/a>, 2022. Supervised by Daniel Horsley and Ian Wanless.<\/p>\n Timothy Chan<\/a>, Substructure Densities in Extremal Combinatorics<\/a>, 2021. Supervised by David Wood and Dan Kral (Warwick).<\/p>\n Subhrajyoti Saha, Finite p-Groups and Coclass Theory<\/a>, 2020. Supervised by Heiko Dietrich.<\/p>\n Hooman Reisi Dehkordi, The Hanani-Tutte Theorem and Non-Separating Planar Graphs<\/a>, 2020. Supervised by Graham Farr, David Wood and Peter Eades.<\/p>\n Srinibas Swain, Graph parameters: theory, generation and dissemination<\/a>, 2019. Supervised by Graham Farr, Paul Bonnington and Kerri Morgan.<\/p>\n Kai Siong Yow, Tutte-Whitney Polynomials for Directed Graphs and Maps<\/a>, 2019. Supervised by Graham Farr and Kerri Morgan.<\/p>\n Tim Wilson, Anagram-Free Graph Colouring and Colour Schemes<\/a>, 2019. Supervised by David Wood.<\/p>\n Kevin Hendrey<\/a>, Extremal Graph Theory for Minors, Improper Colourings and Gonality<\/a>, 2019. Supervised by David Wood.<\/p>\n Darcy Best, Transversal This, Transversal That<\/a>, 2018. Supervised by Ian Wanless, Heiko Dietrich and Daniel Horsley.<\/p>\n Rosie Hoyte, Generalisations of the Doyen-Wilson Theorem<\/a>, 2017. Supervised by Daniel Horsley.<\/p>\n Jayama Mendis, Autoparatopisms of Latin squares<\/a>, 2015. Supervised by Ian Wanless.<\/p>\n Marsha Minchenko, Counting subgraphs of regular graphs using spectral moments<\/a>, 2014. Supervised by Ian Wanless.<\/p>\n Michael Brand, Computing with Arbitrary and Random Numbers<\/a>, 2014. Supervised by Graham Farr.<\/p>\n Kerri Morgan, Algebraic aspects of the chromatic polynomial<\/a>, 2010. Supervised by Graham Farr.<\/p>\n Arun Mani, Correlation inequalities for Tutte polynomials<\/a>, 2010. Supervised by Graham Farr.<\/p>\n Judith Egan, Transversals, indivisible plexes and partitions of latin squares<\/a>, 2010. Supervised by Ian Wanless.<\/p>\n Douglas Stones, On the number of Latin rectangles<\/a>, 2010. Supervised by Ian Wanless.<\/p>\n Rebecca Robinson, Characterizations and algorithms for topological containment of wheel graphs<\/a>, 2009. Supervised by Graham Farr.<\/p>\n David Wood, Three-Dimensional Orthogonal Graph Drawing, 2000. Supervised by Graham Farr.<\/p>\n Eileen Pan, Groups of small order type<\/a>, 2021. Supervised by Heiko Dietrich.<\/p>\nCurrent Ph.D. Students<\/h3>\n
Ph.D. Students currently under examination<\/h3>\n
Completed Ph.D. Students<\/h3>\n
Completed Masters Students<\/h3>\n