Austin Ulrigg

Austin Ulrigg

Undergraduate

Pearls In Graph Theory Solution Guide

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This solution guide is designed to supplement your learning by providing clarifications and problem-solving techniques. Please use it responsibly. Do not copy or plagiarize the solutions; instead, use them to check your work and enhance your understanding. Engaging with the material independently is essential for your learning and academic integrity.

Solution Guide: Pearls in Graph Theory Sections 10.1, 10.2, and 10.3

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An Efficient Genus Algorithm Based on Graph Rotations

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With Alexander Metzger I co-authored this paper about an algorithm which, for an arbitrary graph (G) with (n) vertices, this algorithm determines the orientable genus in (\mathcal{O}\left(\frac{2^{n^2+3n}}{n^{n+1}}\right)) steps. You can access the paper here.