Dan McQuillan

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20112026

most citedConvex drawings of the complete graph: topology meets geometry

3 citations · 3 across the 7 of their papers we have counts for

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Showing 2017Show all

2 papers · 1 filter

math.CO2017★ 3 cited

Convex drawings of the complete graph: topology meets geometry

Alan Arroyo, Dan McQuillan, R. Bruce Richter +1

In this work, we introduce and develop a theory of convex drawings of the complete graph $K_{n}$ in the sphere. A drawing $D$ of $K_{n}$ is convex if, for every 3-cycle $T$ of $K_{n}$ , t…

math.HO2017

Specialization, generalization, and a new proof of Vivinai's Theorem

Addie Armstrong, Dan McQuillan

We provide a new proof of Vivinai's Theorem using what George Polya calls a 'leading particular case.' Our proof highlights the role of generalization in mathematics.