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.

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Extremal Problems for Roman Domination, E. W. Chambers, W. Kinnersley, N. Prince, and D. B. West

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Highly Connected Monochromatic Subgraphs of Multicoloured Graphs, H. Liu, R. Morris, and N. Prince

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Highly Connected Multicoloured Subgraphs of Multicoloured Graphs, H. Liu, R. Morris, and N. Prince

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On Ks,t-minors in Graphs with Given Average Degree, A. V. Kostochka and N. Prince

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The Erdős-Lovász Tihany Conjecture for Quasi-Line Graphs, J. Balogh, A. V. Kostochka, N. Prince, and M. Stiebitz

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Total Acquisition in Graphs, Timothy D. Lesaulnier, Noah Prince, Paul S. Wenger, Douglas B. West, and Pratik Worah