Discrete Mathematics

Hearty congratulations to Darcy Best who submitted his PhD thesis today. His thesis is on transversals of Latin squares and related objects, (supervised by Ian Wanless)

Hearty congratulations to Daniel Horsley, who has been awarded the 2017 Hall medal by the Institute of Combinatorics and its Applications.

The Hall medal recognizes extensive quality research with substantial international impact by Fellows of the ICA in mid-career. Information about the ICA medals can be found at: http://luca-giuzzi.unibs.it/ICA/medals.php

Ian Wanless’ television career is burgeoning. Tonight he is in action on The Chase.

Monash PhD student Harald Bögeholz won the inaugural Anne Penfold Street Student Prize, for the best student talk at the conference 5ICC.

Harald’s presentation was entitled “Calculating Connected Components in Huge Graphs by Randomised Contraction”. Warm congratulations to Harald.

Monash hosted the 5th International Combinatorics Conference from 3-9 December 2017. It was attended by 163 mathematicians and students from Australia, Canada, China, Croatia, Czechia, Germany, Hungary, India, Indonesia, Iran, Israel, Japan, Malta, New Zealand, Singapore, Slovenia, South Africa, South Korea, Sri Lanka, Switzerland, Thailand, United Kingdom, United States and Vietnam (fully justifying the name of the conference!). There were 124 talks, 2 excursions, a public lecture and a memorable dinner.

Congratulations to Nick Wormald who will be an invited speaker in the Combinatorics section of the 2018 International Congress of Mathematicians.

In today’s ARC grant announcements, Nick Wormald and Anita Liebenau received a Discovery Project. Congratulations Nick and Anita!

Today we celebrated the Bill Tutte Centenary Year with a half-day event consisting of the following short talks about his life, work, and influence on mathematics:

Graham Farr: Overview of Tutte’s life
Kerri Morgan: Squaring the square
Ron Steinfeld / Amin Sakzad: Tutte’s work at Bletchley Park in WW2
Kai Siong Yow: The dissection of equilateral triangles into equilateral triangles
Graham Farr: A ring in graph theory
Ranjie Mo: A contribution to the theory of chromatic polynomials
Jane Gao: When can vertices be all paired up?
Sanming Zhou (Melb): A family of cubical graphs
David Wood: How Tutte would draw a graph
Grant Cairns (La Trobe): The Hanani-Tutte Theorem
Norman Do: Tutte’s topological recursion
Daniel Mathews: The Tutte polynomial and knot theory
Andrew Elvey Price (Melb): Some counting problems on planar maps
Nick Wormald: My impressions of Tutte

William (Bill) Tutte (1917-2002) became a research mathematician while still an undergraduate at Cambridge in the late 1930s, broke the toughest Nazi codes while at Bletchley Park in WW2, and became one of the greatest mathematicians of the 20th century. His work saved countless lives during the war and led the development of graph theory. His work was usually inspired by pure curiosity or recreational puzzles, but has been applied in domains as diverse as electrical circuits, statistical physics and information visualisation.

Nick Wormald is one of the 21 new fellows elected to the Australian Academy of Science. Congratulations Nick!

The citation: Nicholas Wormald is one of an elite group of mathematicians globally who combine the most advanced probability theory, combinatorics and theoretical computer science to produce deep insights into the nature of random and complex networks. He specialises in random graphs and probabilistic combinatorics, graph theory, enumeration, the analysis of graph algorithms, Steiner trees, the analysis of real-life networks, and other areas in combinatorics, as well as the optimisation of underground mine access networks. Wormald is responsible for an impressive number of major breakthroughs in these areas and many standard methods used today were his invention.

Group members are invited speakers at several British conferences this northern summer:

• Daniel Horsley at the 26th British Combinatorial Conference, University of Strathclyde, Glasgow
• Graham Farr, Tutte Centenary Lecture at the 26th British Combinatorial Conference, University of Strathclyde, Glasgow
• David Wood at the One-Day Meeting in Combinatorics, University of Oxford
• Daniel Horsley at Interactions with Combinatorics, University of Birmingham