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Graph theory is a vibrant area of research with many applications to the social sciences, psychology, and economics. In this tutorial we focus on two topics of mathematical research in graph theory: evasion-pursuit games on graphs and domination theory. Students in this project-based tutorial will select among the presented topics, and will begin original research on an open problem in the field. Student assessment is based on problem sets, drafts of research project manuscript, and a final oral class presentation.
Grading: no pass/fail option,
no fifth course option
homework assignments, oral presentations, and written project manuscript
MATH 355 or permission of the instructor
programming experience, students with interests in the intersection of combinatorics and graph theory