Robert Hickingbotham

Hi There!

I am a PhD student in the Discrete Mathematics Research Group at Monash University. My supervisor is David R. Wood. I received my undergraduate degree at Monash University where I completed my Honour's project in structural graph theory with the same supervisor. I was the recipient of Monash's 2019 Pure Mathematics Prize for being the most outstanding Honour's student in pure mathematics. I co-organise the seminars for the Monash Discrete Maths Research Group. Details for upcoming talks can be viewed here.

Research Interests

  • Structural Graph Theory

  • Linear Layouts of Graphs

  • Graph Product Structure Theory

  • Graph Colouring


Preprints

[12] Rutger Campbell, Marc Distel, J. Pascal Gollin, Daniel Harvey, Kevin Hendrey, Robert Hickingbotham, Bojan Mohar, David R. Wood. Graphs of linear growth have bounded treewidth . 2022. [arXiv]

[11] Robert Hickingbotham. Induced subgraphs and path decompositions. 2022. [arXiv]

[10] Rutger Campbell, Katie Clinch, Marc Distel, J. Pascal Gollin, Kevin Hendrey, Robert Hickingbotham, Tony Huynh, Freddie Illingworth, Youri Tamitegama, Jane Tan, David R. Wood. Product structure of graph classes with bounded treewidth . 2022. [arXiv]

[9] Robert Hickingbotham. Odd colourings, conflict-free colourings and strong colouring numbers. 2022. [arXiv]

[8] Robert Hickingbotham, Laura Merker, Paul Jungeblut, and David R. Wood. The product structure of squaregraphs. 2022. [arXiv]

[7] Robert Hickingbotham and David R. Wood. Shallow minors, graph products and beyond planar graphs. 2021. [arXiv]

[6] Robert Hickingbotham and David R. Wood. Structural properties of graph products. 2021. [arXiv]


Journal Publications

[5] David Eppstein, Robert Hickingbotham, Laura Merker, Sergey Norin, Michał T. Seweryn, and David R. Wood. Three-dimensional graph products with unbounded stack-number. Discrete & Computational Geometry, accepted in 2022. [arXiv]

[4] Marc Distel, Robert Hickingbotham, Tony Huynh, and David R. Wood. Improved product structure for graphs on surfaces. Discrete Math. & Theoretical Comput. Sci. 24.2:#6, 2022. [arXiv]

[3] Vida Dujmović, David Eppstein, Robert Hickingbotham, Pat Morin, and David R. Wood. Stack-number is not bounded by queue-number. Combinatorica 42:151–164, 2022. [arXiv]


Unpublished Notes

[2] Robert Hickingbotham and David R. Wood. Structural properties of bipartite subgraphs. 2021. [arXiv]


Honour's Thesis

[1] Robert Hickingbotham. Graph minors and tree decompositions. Honour’s thesis, School of Mathematics, Monash University, Melbourne, 2019. [pdf]


Referee

I have reviewed articles for the following:

  • Electronic Journal of Combinatorics

  • Transactions on Algorithms

  • Computing in Geometry and Topology

  • SOCG 2022

  • Algorithmica


Teaching

I have worked for Monash University as a sessional teaching associate in the following units:

  • MTH1030 - Techniques for modelling

  • MAT1830 - Discrete Mathematics for Computer Science

  • MTH2021 - Linear Algebra with Applications

  • MTH3170 - Network Mathematics

Conferences

I co-organised the 2020 Australasian Graduate Symposium in Combinatorics.

Contact

Email: robert DOT hickingbotham AT monash DOT edu