Papers for Euler Circle Proofs from THE BOOK, Winter 2022

• Agastya Goel: Number of spanning trees in a graph
• Alex Tholen: Sum of two squares
• Anant Asthana, Tristan Liu, and Mark Takken: Pigeonhole and double counting
• Andrew Chang: Turán's graph theorem and extremal graph theory
• Arav Bhattacharya: Applications of adjacency matrices
• Atticus Kuhn: Sets, functions, and the Continuum Hypothesis
• Ezra Furtado-Tiwari: The art gallery problem
• Maria Chrysafis: Quadratic reciprocity
• Mehana Ellis: Borromean rings, intransitivity, and other analogues
• Neil Makur: Sums of 2 and 4 squares
• Roger Fan: Monsky's Theorem
• Shivaani Venkatachalam: Scissors congruence
• Sohom Dutta: Buffon's needle problem
• Tanvi Deshpande: The chromatic number of Kneser graphs
• Varun Rao: On the mathematics of bracelets
• Yuenan Huang: Group theory proof of the law of quadratic reciprocity