Mathematics provides an environment for logical, creative investigation of quantitative and relational situations. It consists of a large body of knowledge and many sub-disciplines, each of which provides an array of tools and techniques for exploration and analysis. This includes, but is not limited to: patterns of logical reasoning and inference, geometric and algebraic manipulation, and analytic, graphical, and statistical investigation of phenomena. Different sub-disciplines are especially useful for solving certain types of problems while connections between the sub-disciplines help in the understanding and solution of other types of problems.
Extremal Problems for Roman Domination, E. W. Chambers, W. Kinnersley, N. Prince, and D. B. West
Highly Connected Monochromatic Subgraphs of Multicoloured Graphs, H. Liu, R. Morris, and N. Prince
Highly Connected Multicoloured Subgraphs of Multicoloured Graphs, H. Liu, R. Morris, and N. Prince
On Ks,t-minors in Graphs with Given Average Degree, A. V. Kostochka and N. Prince
The Erdős-Lovász Tihany Conjecture for Quasi-Line Graphs, J. Balogh, A. V. Kostochka, N. Prince, and M. Stiebitz
Total Acquisition in Graphs, Timothy D. Lesaulnier, Noah Prince, Paul S. Wenger, Douglas B. West, and Pratik Worah