- 26 Nov 2017 - 2 Dec 2017

8:00 am - 5:00 pm

**Organisers:** Graham Farr (Chair) (Monash University), Marston Conder (University of Auckland), Dillon Mayhew (Victoria University of Wellington), Kerri Morgan (Monash University), James Oxley (Louisiana State University), Gordon Royle (University of Western Australia)

**Program Description: **2017 is the centenary year of the birth of W. T. (Bill) Tutte, one of the founders of modern graph theory. The Retreat will focus on three topics that have grown out of seminal contributions he made at the very start of his career: Tutte-Whitney polynomials, matroid structure theory, and symmetric graphs. The first of these is central to the enumerative theory of graphs and matroids; the second builds on the recent Geelen-Gerards-Whittle extension to matroids of the celebrated Robertson-Seymour Graph Minor theory; and the third considers graphs that are both aesthetically pleasing and have some desirable practical properties, including strength, stability and broadcast efficiency, yet can be very difficult to construct and classify. The Retreat emphasises collaborative research, supported by problem sessions and only a few talks. We expect to make significant progress in all three areas, and to involve PhD students and postdoctoral researchers as well as

international leaders in these fields.

**Program Details and Materials:**

Below is the Program Structure. *Please click to enlarge*.

**Registration:**

- Deadline:
**28 October 2017** - Registration is by invitation only
- Only one registration is required.

**Participant List:**

– Joanna Ellis-Monaghan (Chair, Department of Mathematics, Saint Michael’s College)

– Graham Farr (Monash University)

– Johann A. Makowsky (Faculty of Computer Science, Technion – Israel Institute of Technology)

– Kerri Morgan (Monash University)

– Steven Noble (Dept of Economics, Mathematics & Statistics, Birkbeck, University of London, Bloomsbury, London)

– Gordon Royle (Centre for the Mathematics of Symmetry and Computation, The University of Western Australia)

– Deborah Chun (West Virginia University)

– James Oxley (Mathematics Department, Louisiana State University, Baton Rouge, LA)

– Dillon Mayhew (School of Mathematics and Statistics, Victoria University of Wellington)

– Charles Semple (School of Mathematics and Statistics, University of Canterbury)

– Geoff Whittle (School of Mathematics and Statistics, Victoria University of Wellington)

– Nick Brettell (School of Mathematics and Statistics, Victoria University of Wellington)

– Marston Conder (Department of Mathematics, The University of Auckland)

– Joanna Fawcett (Department of Pure Mathematics and Mathematical Statistics, Centre for Mathematical Sciences, University of Cambridge)

– Michael Giudici (Centre for the Mathematics of Symmetry and Computation, The University of Western Australia)

– Cheryl Praeger (Centre for the Mathematics of Symmetry and Computation, The University of Western Australia)

– Gabriel Verret (Department of Mathematics, The University of Auckland)

– Luke Morgan (Centre for the Mathematics of Symmetry and Computation, The University of Western Australia)

– Primož Potočnik (Faculty of Mathemathics and Physics, University of Ljubljana)

– Sanming Zhou (School of Mathematics and Statistics, The University of Melbourne)

– Kevin Grace (Louisiana State Univeristy )

– Iain Moffatt (Royal Holloway, University of London)

– Xian’an Jin (Xiamen University)

– Thomas Britz (School of Mathematics and Statistics, UNSW Sydney)

– Tara Fife (Mathematics Department, Louisiana State University)

– Nemanja Poznanovic (School of Mathematics and Statistics, The University of Melbourne)

– William Whistler (Department of Computer Science, Durham University)

– Georgina Liversidge (University of Newcastle)

– Rutger Campbell (Department of Combinatorics and Optimization, University of Waterloo)

– Keisuke Shiromoto (Department of Mathematics and Engineering, Kumamoto University)

– Ruixue Zhang (Mathematics and Mathematics Education, National Institute of Education, Nanyang Technological University)

– Ben Jones (Monash University)

**ASSOCIATED EVENTS**

MATRIX Wine and Cheese Afternoon 28 November 2017