It is currently not known what the typical metric dimension of a random 3-regular graph is and this will be the basis of this project. Investigating the metric dimension of regular graphs specifically, as opposed to completely arbitrary graphs, may prove fruitful for determining improved bounds and new insights on the metric dimension of graphs. Specifically, we will investigate random 3-regular graphs for new bounds on their typical metric dimension.
Will Veenman is a third-year undergraduate student majoring in pure mathematics at Monash University. Will is primarily interested combinatorics and algebraic topology, but is always keen to engross himself in any kind of mathematics he comes across. Will is also interested in mathematics education and outreach. Outside of mathematics, Will is also interested in music composition and table tennis.